Last updated: 28 July 2026

Proven primes with at least 6000 digits ( via CM ) Total: 1221
Rank	Expression	Digits	When	Who	Comment	Certificate
1	R(109297)	109297	May 2025	Andreas Enge; Paul Underwood	Repunit
2	R(86453)	86453	May 2023	Andreas Enge	Repunit
3	5104824 + 1048245	73269	Feb 2023	Greg Childers	Leyland plus-form
4	M(221509) / 292391881	66673	Oct 2023	Andreas Enge; Paul Underwood	Mersenne cofactor
5	3125330 + 1253303	59798	Dec 2022	Greg Childers	Leyland plus-form
6	Lucas(277273) / 11090921	57940	May 2026	Greg Childers	Lucas cofactor     new
7	Τ(1994518)	57125	Sep 2022	Andreas Enge	Ramanujan tau function
8	2176177 + 60947	53035	Oct 2025	Maia Karpovich	Dual Sierpinski Problem
9	M(174533) / 17794804010102394541862377900092223173807310609	52494	Nov 2022	Paul Underwood	Mersenne cofactor
10	(94017581 − 1) / 939	52268	Jan 2025	Ryan S. Propper	Generalized repunit
11	p(2100412931)	51046	Jul 2026	Greg Childers	Partitions     new
12	1050000 + 65859	50001	May 2022	Andreas Enge	Smallest 50001-digit prime
13	M(157457) / 1651348995090599153173927	47376	Jan 2026	Oliver Kruse	Mersenne cofactor
14	M(151013) / 61157791169561859593299975690769	45428	Sep 2025	Paul Underwood	Mersenne cofactor
15	2148227 + 60443	44621	Dec 2024	Maia Karpovich	Dual Sierpinski Problem
16	Fib(208519) / 140875424305897	43564	Jul 2026	Greg Childers	Fibonacci cofactor     new
17	(2141079 + 1) / 3	42469	Oct 2025	Paul Underwood	Wagstaff
18	Lucas(202667)	42355	Nov 2023	Greg Childers	Lucas
19	See PrimePages for more informations	42229	Oct 2025	Serge Batalov; Ryan Propper	Part of BLS-proof of   Lehmer number
20	2139964 + 35461	42134	Oct 2024	Maia Karpovich	Dual Sierpinski Problem
21	Fib(201107)	42029	Sep 2023	Maia Karpovich	Fibonacci number
22	− E(12146) / 1226039954339	41943	Aug 2025	Serge Batalov	Euler irregular
23	(2138937 + 1) / 3	41824	Oct 2023	Andreas Enge; Paul Underwood	Wagstaff
24	M(136883) / 536581361	41198	Aug 2025	Paul Underwood	Mersenne cofactor
25	E(11848) / 7910215	40792	Aug 2022	David Broadhurst; Paul Underwood	Euler irregular
26	Lucas(193201)	40377	Dec 2023	Greg Childers	Lucas
27	1040000 + 14253	40001	Jun 2022	Andreas Enge	Smallest 40001-digit prime
28	M(132929) / 2054179601105776846215055956722560390485432904126229271473	39959	Jan 2026	Oliver Kruse	Mersenne cofactor
29	M(130439) / 260879	39261	Feb 2023	Alan Mock	Mersenne cofactor
30	Τ(474176)	38404	Jun 2022	Andreas Enge	Ramanujan tau function
31	Lucas(183089)	38264	Dec 2023	Greg Childers	Lucas
32	(2127031 + 1) / 3	38240	Jan 2023	Paul Underwood	Wagstaff
33	(34 • 1037957 − 61) / 9	37958	Dec 2025	Jason Parker-Burlingham	Quasi-repdigit
34	Fib(179689) / 359377	37547	May 2026	Greg Childers	Fibonacci cofactor     new
35	378296 + 782963	37357	Jul 2022	Greg Childers	Leyland plus-form
36	Φ(13875,124750) / 14963669110546259757220673451001	36661	Sep 2024	Tom Wu	Part of BLS primality Proof of   (12475027751 − 1) / 124749
37	6320018 + 2001863	36020	Jan 2023	Greg Childers	Leyland plus-form
38	2119087 − 1190872	35849	Mar 2024	Tengfei Wang	Leyland minus-form
39	(2117239 + 1) / 3	35292	Jul 2022	Ryan S. Propper	Wagstaff
40	p(1000007396)	35219	Aug 2022	Greg Childers	Partitions
41	1864754598 • Bern(12306) / 7988337402668760859	35160	Jul 2025	Serge Batalov	Irregular
42	See complete expression	35085	Nov 2025	Maia Karpovich	3rd prime p , where tan(p) > p
43	239487993 − 239477993	35003	May 2026	Anonymous	Generalized Mersenne     new
44	9 • 1034838 + 7	34839	Aug 2023	Markus Tervooren
45	E(10168) / 1097239206089665	34323	Oct 2023	Frank Doornink	Euler irregular
46	Φ(717, − 1072)	34273	Aug 2025	Serge Batalov	Unique
47	Lucas(159521)	33338	Nov 2023	Greg Childers	Lucas
48	Φ(12345,92365) / 382141463174433542855941	32630	Jun 2024	Tom Wu	Part of BLS primality Proof of   (9236524691 − 1) / 92364
49	(1825667 − 1) / 17	32218	Jun 2022	Paul Underwood	Generalized repunit
50	Φ(34051, − 10)	32033	Aug 2025	Serge Batalov	Unique
51	2105789 + 48527	31846	Oct 2023	Maia Karpovich	Dual Sierpinski Problem
52	Φ(23023, − 100)	31681	Aug 2025	Serge Batalov	Unique
53	M(105269) /   151888973648615898448098254186003467843831193426357780775029327271885867309638591059561	31603	Sep 2024	Serge Batalov	Mersenne cofactor
54	Φ(4613, − 108)	31585	Aug 2025	Serge Batalov	Unique
55	Φ(10295, − 104)	31360	Aug 2025	Serge Batalov	Unique
56	2104095 + 7013	31336	Oct 2023	Maia Karpovich	Dual Sierpinski Problem
57	2103766 + 17659	31237	Apr 2023	Maia Karpovich	Dual Sierpinski Problem
58	− E(9266) / 2129452307358569777	30900	May 2023	Frank Doornink	Euler irregular
59	Φ(11589, − 104)	30897	Oct 2022	Serge Batalov	Unique
60	6402 ∑ (n-th prime)n  n=1	30763	Jan 2026	Oliver Kruse	Sum (n-th prime)n
61	Lucas(145703) / 179214691	30442	Nov 2023	Greg Childers	Lucas cofactor
62	Lucas(145193) / 38621339	30336	Nov 2023	Greg Childers	Lucas cofactor
63	(7116384 + 1) / 2	30331	Apr 2023	Alan Mock	Generalized half-Fermat
64	17013451 − 13451170	30002	Mar 2024	Tengfei Wang	Leyland minus-form
65	Φ(36547, − 10)	29832	Jun 2022	Serge Batalov	Unique
66	299069 + 990692	29823	Jun 2022	Greg Childers	Leyland plus-form
67	Φ(18756,58425)	29744	Sep 2025	Tom Wu	Part of BLS primality Proof of   (5842518757 − 1) / 58424
68	See PrimePages for more informations	29210	Oct 2025	Serge Batalov; Ryan S. Propper	Lehmer primitive part prime
69	1029028 − 2 • 108312 − 1	29028	Jul 2025	Tengfei Wang	Near repdigit
70	Fib(138449) / 722703781	28925	Mar 2026	Greg Childers	Fibonacci cofactor
71	Φ(21960,102936) / 5017642938047862206894175676419044635657201	28830	Jul 2024	Tom Wu	Part of BLS primality Proof of   (10293621961 − 1) / 102935
72	Lucas(137483) / 297756567358709	28718	May 2026	Serge Batalov	Lucas cofactor     new
73	1922182 − 2218219	28366	May 2025	Tengfei Wang	Leyland minus-form
74	(1111111102 • 1028243 − 1) / 9	28252	Apr 2024	Tengfei Wang
75	Fib(135221) / 240836845308529927941202189034491397	28224	Mar 2026	Greg Childers	Fibonacci cofactor
76	Φ(8553,74968) / 12199774257779118942571063	27762	Sep 2025	Tom Wu	Part of BLS primality Proof of   (7496817107 − 1) / 74967
77	Lucas(132647) / 13578619295354715892634059	27697	May 2026	Serge Batalov	Lucas cofactor     new
78	Fib(132409) / 2882138154561602271737	27651	Aug 2024	Serge Batalov	Fibonacci cofactor
79	30111061 + 300	27416	Feb 2026	Alfred Reich	Dual Williams
80	70877087 + 1616	27289	Jun 2025	Tengfei Wang	Lifchitz plus-form
81	9 • 1026725 + 7	26726	Aug 2023	Markus Tervooren
82	See PrimePages for more informations	26668	Sep 2025	Serge Batalov; Ryan Propper	Part of CHG-proof of   Lehmer number
83	Τ(1572206)	26643	Jul 2022	Greg Childers	Ramanujan tau function
84	288071 + 88071	26513	Jun 2025	Tengfei Wang	Dual Cullen prime
85	M(87691) / 806957040167570408395443233	26371	Nov 2022	Serge Batalov	Mersenne cofactor
86	1026045 − 3	26045	Jan 2024	U.N.Owen	Near repdigit
87	(11 • 1026000 − 17) / 3	26001	Aug 2022	Florian Piesker
88	M(86371) / 41681512921035887	25984	Jun 2022	Ryan S. Propper	Mersenne cofactor
89	− E(7894) / 19	25790	May 2023	Frank Doornink	Euler irregular
90	Lucas(122869) / 50429766416459430193411	25656	Apr 2024	Serge Batalov	Lucas cofactor
91	primU(183537)	25571	Oct 2024	Serge Batalov	Fibonacci primitive part
92	2119304 − 1930421	25525	Feb 2024	Tengfei Wang	Leyland minus-form
93	7391 ( ∑ n! ) / 99   n=1	25385	Jan 2026	Oliver Kruse	Sum factorial cofactor
94	Fib(120937) / 3311205867595743073258613	25250	Apr 2024	Serge Batalov	Fibonacci cofactor
95	Fib(120847) / 801583206855072663577903717598265772863698229236258027166465876287487690977	25181	May 2026	Serge Batalov	Fibonacci cofactor     new
96	20927579 + 75792092	25167	Oct 2023	Anonymous	Leyland plus-form
97	51226753 + 67535122	25050	May 2022	Greg Childers	Leyland plus-form
98	primV(194181)	24908	Oct 2024	Serge Batalov	Lucas primitive part
99	Lucas(119162) / 3	24903	Oct 2024	Serge Batalov	Lucas cofactor
100	− E(7634) / 1559	24828	May 2023	Frank Doornink	Euler irregular
101	primU(118319)	24553	Oct 2024	Serge Batalov	Fibonacci primitive part
102	Fib(117167) / 17658707237	24476	Apr 2024	Serge Batalov	Fibonacci cofactor
103	Lucas(116593) / 120790349	24359	Nov 2023	Greg Childers	Lucas cofactor
104	(1520593 + 1) / 1317968	24214	Jul 2026	Michael Porter	Generalized Wagstaff cofactor     new
105	280307 − 803072	24175	Jan 2024	Tengfei Wang	Leyland minus-form
106	primV(214470)	23895	Oct 2024	Serge Batalov	Lucas primitive part
107	primU(115373)	23875	Oct 2024	Serge Batalov	Fibonacci primitive part
108	primU(135421)	23725	Oct 2024	Serge Batalov	Fibonacci primitive part
109	primV(143234)	23654	Oct 2024	Serge Batalov	Lucas primitive part
110	M(78737) / 1590296767505866614563328548192658003295567890593	23654	May 2022	Ryan S. Propper	Mersenne cofactor
111	primU(164185)	23524	Oct 2024	Serge Batalov	Fibonacci primitive part
112	20097104 − 71042009	23465	Jun 2025	Tengfei Wang	Leyland minus-form
113	See complete expression	23429	Jun 2022	Andreas Enge
114	20127043 − 70432012	23268	May 2025	Tengfei Wang	Leyland minus-form
115	primU(166737)	23231	Oct 2024	Serge Batalov	Fibonacci primitive part
116	See PrimePages for more informations	23130	Sep 2025	Serge Batalov; Ryan Propper	Part of BLS-proof of   Lehmer number
117	primA(275285)	23012	Mar 2024	Serge Batalov	Lucas Aurifeuillian primitive part
118	primV(110723)	22997	Oct 2024	Serge Batalov	Lucas primitive part
119	(1022973 + 53) / 9	22973	Mar 2024	U.N.Owen	Near repunit
120	(34 • 1022925 − 61) / 9	22926	Jul 2025	Jason Parker-Burlingham
121	primV(180906)	22905	Sep 2024	Serge Batalov	Lucas primitive part
122	1022822 − 1063 − 1	22822	Mar 2026	Serge Batalov	Near Repdigit; Prime / Emirp
123	923840 − 238409	22750	Jan 2024	Tengfei Wang	Leyland minus-form
124	(32569 • 2615921 + 21) / 5	22532	Mar 2023	Florian Piesker
125	Fib(106663) / 35892566541651557	22275	Apr 2024	Serge Batalov	Fibonacci cofactor
126	348054 • Bern(8286) / 1570865077944473903275073668721	22234	Dec 2022	Serge Batalov	Irregular
127	p(398256632)	22223	Apr 2022	Serge Batalov	Partitions
128	Fib(105509) / 144118801533126010445795676378394340544227572822879081	21997	Jul 2022	Serge Batalov	Fibonacci cofactor
129	9911006 + 1100699	21964	Sep 2024	Oliver Kruse	Leyland plus-form
130	1021873 − 3	21873	Aug 2022	Markus Tervooren	Near repdigit
131	3314398 − 1439833	21864	May 2025	Tengfei Wang	Leyland minus-form
132	primB(282035)	21758	Oct 2023	Serge Batalov	Lucas Aurifeuillian primitive part
133	primA(276335)	21736	Mar 2024	Serge Batalov	Lucas Aurifeuillian primitive part
134	1021717 + 7	21718	Apr 2024	U.N.Owen
135	primV(154281)	21495	Nov 2023	Greg Childers	Lucas primitive part
136	(3131 • 271216 − 11) / 15	21441	Jul 2022	Florian Piesker
137	primA(296695)	21137	Oct 2023	Serge Batalov	Lucas Aurifeuillian primitive part
138	primA(413205)	21127	Sep 2023	Serge Batalov	Lucas Aurifeuillian primitive part
139	269999 + 35583	21072	Aug 2023	Frank Doornink	Smallest 70000-bit prime
140	57612705200181 • 269801 + 5	21026	Jan 2026	Serge Batalov	Part of a prime triplet
141	p(355646102)	21000	Jul 2022	Serge Batalov	Partitions
142	(1120161 − 1) / 10	20995	Jun 2022	Florian Piesker	Generalized repunit
143	14 • 1916415 + 381	20992	Jun 2022	Florian Piesker
144	Lucas(100417) /   7130429037791016075118087990532064354948544338847967474370719436805470448849	20911	Apr 2024	Serge Batalov	Lucas cofactor
145	p(350199893)	20838	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
146	1299820 + 9820129	20726	Sep 2024	Oliver Kruse	Leyland plus-form
147	primU(102689)	20715	Sep 2024	Serge Batalov	Fibonacci primitive part
148	primU(105821)	20598	Sep 2022	Serge Batalov	Fibonacci primitive part
149	((((((25210088873 + 80)3 + 12)3 + 450)3 + 894)3 + 3636)3 + 70756)3 + 97220	20562	Jun 2022	Greg Childers	Mills' prime   re-certified via CM
150	(343063 − 1) / 2	20546	Nov 2023	Anonymous	Generalized repunit
151	primU(172179)	20540	Sep 2022	Serge Batalov	Fibonacci primitive part
152	Lucas(98081) / 84490439013599359615894385176643888515853963025217237339	20442	Apr 2024	Serge Batalov	Lucas cofactor
153	See PrimePages for more informations	20401	Oct 2025	Serge Batalov; Ryan Propper	Part of CHG-proof of   Lehmer number
154	Τ(412296)	20367	Jun 2022	Greg Childers	Ramanujan tau function
155	19986137 − 61371998	20256	Feb 2024	Tengfei Wang	Leyland minus-form
156	(3567937 + 1) / 357	20249	Jul 2022	Florian Piesker	Generalized Wagstaff
157	4404139952163 • 267002 − 5	20183	Jul 2024	Serge Batalov	Part of a prime triplet
158	primV(112028)	20063	May 2022	Serge Batalov	Lucas primitive part
159	53705370 + 44114411	20030	May 2024	Oliver Kruse	Lifchitz plus-form
160	26685841 + 58412668	20013	Dec 2022	Greg Childers	Leyland plus-form
161	(1020004 − 1) / 9 − 10228	20004	May 2025	Tengfei Wang	Near repunit
162	1020000 + 56149	20001	Nov 2024	U.N.Owen	Smallest 20001-digit prime
163	p(322610098)	20000	Jun 2022	Serge Batalov	Partitions
164	266436 + 18181	20000	Jul 2022	Florian Piesker
165	1019999 + 1514722611	20000	Jun 2022	Paul Underwood	Part of the smallest   20000-digit twin prime
166	1019999 + 1514722609	20000	Jun 2022	Paul Underwood	Part of the smallest   20000-digit twin prime
167	1019999 + 110949	20000	Jun 2022	Paul Underwood	Smallest 20000-digit prime
168	primV(151521)	19863	Jun 2022	Serge Batalov	Lucas primitive part
169	(224664493 + 1) / 22467	19548	Jun 2026	Michael Porter	Generalized Wagstaff     new
170	264773 − 647732	19499	Jan 2024	Tengfei Wang	Leyland minus-form
171	39585411 + 54113958	19466	May 2022	Greg Childers	Leyland plus-form
172	(5824! − 1) / 1078163	19396	Apr 2026	Anonymous	Factorial minus cofactor
173	M(66497) / M (2293) / 7140061530624311	19312	Sep 2025	Alex Kruppa	Mersenne cofactor
174	M(64381) / 18252318785612645711774019109285438988204922542528174996118699181907547497	19308	Apr 2024	Serge Batalov	Mersenne cofactor
175	Lucas(91943) / 12774901180031755171852992299	19187	Jul 2022	Serge Batalov	Lucas cofactor
176	(V(428,1,8019) − 1) / (V(428,1,729) − 1)	19184	Jun 2022	Serge Batalov	Lehmer primitive part
177	Lucas(91873) / 119273493071598409455551351	19175	Jul 2022	Serge Batalov	Lucas cofactor
178	(2 • 1019153 + 691) / 9	19153	Jun 2022	Greg Childers
179	primU(137439)	19148	Jun 2022	Serge Batalov	Fibonacci primitive part
180	⌊(π • 1019176)⌋ % (1019128)	19128	Feb 2023	Oliver Kruse	String in Pi
181	primU(107779)	18980	May 2022	Serge Batalov	Fibonacci primitive part
182	( U(162,1,8581) + U(162,1,8580) ) / ( U(162,1,66) + U(162,1,65) )	18814	Jun 2022	Serge Batalov	Lehmer primitive part
183	See complete expression	18718	Jun 2022	Andreas Enge
184	(82 • 1018592 − 1) / 9	18593	Aug 2023	Markus Tervooren	Near repunit
185	( U(859,1,6385) − U(859,1,6384) ) / ( U(859,1,57) − U(859,1,56) )	18567	Jun 2022	Serge Batalov	Lehmer primitive part
186	(505 • 1018470 − 1) / 9	18472	Jun 2022	Florian Piesker
187	primB(220895)	18465	Jun 2022	Serge Batalov	Lucas Aurifeuillian primitive part
188	1748192 + 1218192	18355	Jan 2023	Youcef Lemsafer
189	primV(153279)	18283	May 2022	Serge Batalov	Lucas primitive part
190	See complete expression	18192	Aug 2025	Alex Kruppa	Mersenne cofactor of M(123435)
191	See complete expression	18190	Jul 2025	Alex Kruppa	Cyclotomic polynomial cofactor   of M(242730)
192	(721520 + 41) / 6	18186	Dec 2022	Florian Piesker	Near repdigit in base 7
193	(10504 • 1018178 − 1) / 9	18182	Apr 2023	Florian Piesker
194	(34 • 1018155 − 7) / 9	18156	Jan 2026	Anonymous
195	259999 + 26453	18062	Oct 2023	Frank Doornink	Smallest 60000-bit prime
196	259395 − 593952	17880	May 2025	Tengfei Wang	Leyland minus-form
197	primB(235015)	17856	May 2022	Serge Batalov	Lucas Aurifeuillian primitive part
198	(1737 • 525415 − 1) / 4	17767	Oct 2022	Anonymous
199	1017753 + 3	17754	Mar 2024	U.N.Owen
200	(3407001 + 1) / 341	17721	Jul 2022	Florian Piesker	Generalized Wagstaff
201	primV(148197)	17696	May 2022	Serge Batalov	Lucas primitive part
202	((236656 + 1)2 + 3) / ((27332 + 1)2 + 3) / 151	17653	Mar 2025	Alex Kruppa
203	918494 − 184949	17648	Jan 2024	Tengfei Wang	Leyland minus-form
204	(336913 − 1) / 2	17612	Dec 2022	Florian Piesker	Generalized repunit
205	( V(447,1,6723) + 1 ) / ( V(447,1,81) + 1 )	17604	Jun 2022	Serge Batalov	Lehmer primitive part
206	(79 • 739339 − 1) / 6	17403	Jul 2022	Florian Piesker
207	1017343 + 777	17344	Dec 2023	U.N.Owen
208	primV(169830)	17335	May 2022	Serge Batalov	Lucas primitive part
209	257285 + 572852	17245	Jun 2022	Greg Childers	Leyland plus-form
210	720366 − 203667	17212	Jan 2024	Tengfei Wang	Leyland minus-form
211	(257146 + 228573 + 1) / 1057378152607	17191	Oct 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(171438)
212	(3816659 + 1) / 382	17184	Jul 2022	Florian Piesker	Generalized Wagstaff
213	( V(1578,1,5589) + 1 ) / ( V(1578,1,243) + 1 )	17098	Jun 2022	Serge Batalov	Lehmer primitive part
214	M(19) • M(60287) / M(3173) / M(361)	17091	Sep 2024	Alex Kruppa	Mersenne cofactor of M(60287)
215	(176874003 − 1) / 17686	17000	Mar 2024	Edwin Hall	Generalized repunit
216	primV(101510)	16970	May 2022	Serge Batalov	Lucas primitive part
217	(1016922 − 91) / 9	16922	May 2025	Tengfei Wang	Near repunit
218	(17 • 1016918 + 7) / 3	16919	Aug 2023	Markus Tervooren
219	(3186733 + 1) / 319	16847	Jul 2022	Florian Piesker	Generalized Wagstaff
220	See complete expression	16734	Jun 2022	Andreas Enge
221	See complete expression	16716	Sep 2024	Alex Kruppa	Mersenne cofactor of M(69625)
222	(17 • 1016628 + 7) / 3	16629	Aug 2023	Markus Tervooren
223	(V(1240,1,5589) − 1) / (V(1240,1,243) − 1)	16538	Jun 2022	Serge Batalov	Lehmer primitive part
224	primA(201485)	16535	May 2022	Serge Batalov	Lucas Aurifeuillian primitive part
225	( U(800,1,5725) − U(800,1,5724) ) / ( U(800,1,54) − U(800,1,53) )	16464	Jun 2022	Serge Batalov	Lehmer primitive part
226	708853 − 885370	16335	Jun 2025	Tengfei Wang	Leyland minus-form
227	17484430616589 • 254201 + 5	16330	Jun 2024	Serge Batalov	Part of a CPAP-3; d = 6
228	17484430616589 • 254201 − 7	16330	Jun 2024	Serge Batalov	Part of a CPAP-3; d = 6
229	(4984! + 1) / 12823	16263	Mar 2026	Anonymous	Factorial plus cofactor
230	(1427537 + 1) / 143	16220	Jul 2022	Florian Piesker	Generalized Wagstaff
231	primB(225785)	16176	May 2022	Serge Batalov	Lucas Aurifeuillian primitive part
232	(1214951 − 1) / 11	16134	Aug 2022	Florian Piesker	Generalized repunit
233	(11023 • 1016097 − 1) / 3	16101	May 2023	Florian Piesker
234	1016076 + 67	16077	Nov 2023	U.N.Owen
235	(25453 • 1015998 − 1) / 9	16002	Apr 2023	Florian Piesker
236	(4695987 − 1) / 468	15990	Jul 2022	Florian Piesker	Generalized repunit
237	(85 • 252665 − 1) / 578045658449	15844	Jun 2026	Michael Porter	new
238	19194818 − 48181919	15818	May 2025	Tengfei Wang	Leyland minus-form
239	(19 • 620238 + 2501) / 35	15748	Apr 2023	Florian Piesker
240	36574400 + 44003657	15678	Oct 2023	Anonymous	Leyland plus-form
241	See complete expression	15587	Aug 2025	Alex Kruppa
242	See complete expression	15587	Aug 2024	Alex Kruppa	Mersenne cofactor of M(64165)
243	(619889 − 1) / 5	15476	Aug 2022	Florian Piesker	Generalized repunit
244	See complete expression	15450	Apr 2023	Youcef Lemsafer	Generalized repunit cofactor
245	(17 • 1015448 + 7) / 3	15449	Aug 2023	Markus Tervooren
246	(718251 + 1) / 8	15423	Aug 2022	Anonymous	Generalized Wagstaff
247	22484537 + 45372248	15208	Aug 2022	Greg Childers	Leyland plus-form
248	1015103 − 63987	15103	Nov 2023	U.N.Owen
249	26384405 + 44052638	15071	May 2022	Greg Childers	Leyland plus-form
250	249999 + 24783	15052	Jul 2023	Maia Karpovich	Smallest 50000-bit prime
251	14534752 − 47521453	15028	Feb 2024	Florian Piesker	Leyland minus-form
252	39114180 + 41803911	15016	Dec 2022	Greg Childers	Leyland plus-form
253	(31794291 − 42913179) / 8886701589272771624	15010	Apr 2024	Markus Tervooren	Leyland minus-form cofactor
254	(3010159 + 1) / 31	15005	May 2026	Michael Porter	Generalized Wagstaff     new
255	(14774734 + 47341477) / 53	15003	Apr 2023	Youcef Lemsafer	Leyland plus-form cofactor
256	(210983952048 + 1) / 2	15000	Mar 2024	Edwin Hall	Generalized half-Fermat
257	(41474147 + 2022) / 5435	15000	Mar 2024	Edwin Hall
258	( V(1212,1,4887) + 1) / ( V(1212,1,27) + 1 )	14986	Jun 2022	Serge Batalov	Lehmer primitive part
259	(1506883 + 1) / 151	14976	Jun 2022	Florian Piesker	Generalized Wagstaff
260	1077372 + 7372107	14961	Oct 2023	Ryan S. Propper	Leyland plus-form
261	17164613 + 46131716	14921	Nov 2023	Ryan S. Propper	Leyland plus-form
262	3455876 + 5876345	14913	Nov 2023	Ryan S. Propper	Leyland plus-form
263	11594866 + 48661159	14910	Nov 2023	Anonymous	Leyland plus-form
264	(4616! + 1) / 3774283	14906	Mar 2026	Anonymous	Factorial plus cofactor
265	5128801 + 8015128	14890	Oct 2025	Ryan S. Propper	Leyland plus-form
266	((231 − 1)1597 − 1) / (231 − 2) / 634021777	14885	Jun 2022	Greg Childers
267	3765755 + 5755376	14821	Nov 2023	Anonymous	Leyland plus-form
268	17154558 + 45581715	14742	Nov 2023	Anonymous	Leyland plus-form
269	( V(696,1,5211) + 1 ) / ( V(696,1,27) + 1 )	14737	Jun 2022	Serge Batalov	Lehmer primitive part
270	19454476 + 44761945	14722	Nov 2023	Anonymous	Leyland plus-form
271	3815698 + 5698381	14707	Nov 2023	Anonymous	Leyland plus-form
272	See complete expression	14703	Jun 2022	Greg Childers
273	10874840 + 48401087	14696	Nov 2023	Anonymous	Leyland plus-form
274	33484163 + 41633348	14674	Jan 2024	Ryan S. Propper	Leyland plus-form
275	16374554 + 45541637	14637	Jan 2024	Ryan S. Propper	Leyland plus-form
276	φ(17003,10) / 215414318848365482017888228389199	14500	Sep 2024	Alfred Reich	Cyclotomic polynomial cofactor   of R(17003)
277	27724211 + 42112772	14498	Jan 2024	Ryan S. Propper	Leyland plus-form
278	40224022 + 20252025	14498	Jun 2025	Tengfei Wang	Lifchitz plus-form
279	(117514072048 + 1) / 2	14480	Nov 2024	Alfred Reich	Generalized half-Fermat
280	25804241 + 42412580	14469	Jan 2024	Ryan S. Propper	Leyland plus-form
281	424019 − 324019	14461	Oct 2025	Ryan S. Propper	Generalized Mersenne
282	8164949 + 4949816	14410	Jan 2024	Ryan S. Propper	Leyland plus-form
283	p(158221457)	14404	Jul 2022	Serge Batalov	Partitions
284	19914342 + 43421991	14325	Oct 2023	Ryan S. Propper	Leyland plus-form
285	19164359 + 43591916	14308	Oct 2023	Ryan S. Propper	Leyland plus-form
286	917300 + 730091	14302	Oct 2023	Anonymous	Leyland plus-form
287	See complete expression	14297	Aug 2024	Alex Kruppa	Mersenne cofactor of M(52193)
288	1113674 − 1367411	14241	Jan 2024	Tengfei Wang	Leyland plus-form
289	p(158931035)	14036	May 2026	Serge Batalov	Partitions     new
290	p(158917403)	14035	May 2026	Serge Batalov	Partitions     new
291	See complete expression	14035	Aug 2024	Alex Kruppa	Mersenne cofactor of M(93195)
292	p(158898550)	14034	May 2026	Serge Batalov	Partitions     new
293	p(158788742)	14029	May 2026	Serge Batalov	Partitions     new
294	p(158635927)	14022	May 2026	Serge Batalov	Partitions     new
295	p(158569348)	14020	May 2026	Serge Batalov	Partitions     new
296	38 • (1014032 + 61) / 210606316076673	14020	Apr 2023	Youcef Lemsafer
297	p(158507386)	14017	May 2026	Serge Batalov	Partitions     new
298	p(158447043)	14014	May 2026	Serge Batalov	Partitions     new
299	p(158430002)	14013	May 2026	Serge Batalov	Partitions     new
300	p(158381443)	14011	May 2026	Serge Batalov	Partitions     new
301	p(158375386)	14011	Jul 2022	Serge Batalov	Partitions
302	p(158295265)	14007	Jul 2022	Serge Batalov	Partitions
303	21544153 + 41532154	13843	May 2022	Paul Leyland	Leyland plus-form
304	686303773648831000 + 68630377364882	13837	Apr 2026	Alfred Reich	Dual Williams
305	1013808 + 32791	13809	Aug 2024	Alfred Reich
306	See complete expression	13786	Aug 2024	Alex Kruppa	Mersenne cofactor of M(58315)
307	11 • (245616 + 1) / 3	13733	Jun 2022	Florian Piesker
308	(5045059 + 1) / 505	13669	Jun 2022	Florian Piesker	Generalized Wagstaff
309	13354364 + 43641335	13640	Jan 2023	Greg Childers	Leyland plus-form
310	26073976 + 39762607	13583	Jan 2023	Greg Childers	Leyland plus-form
311	4995026 + 5026499	13561	Jan 2023	Greg Childers	Leyland plus-form
312	916918 + 691891	13553	Jan 2023	Greg Childers	Leyland plus-form
313	(4233! + 1) / 326022408531457943	13498	Mar 2026	Anonymous	Factorial plus cofactor
314	17274162 + 41621727	13474	Jan 2023	Greg Childers	Leyland plus-form
315	23613992 + 39922361	13466	Jan 2023	Greg Childers	Leyland plus-form
316	29853874 + 38742985	13462	Jan 2023	Greg Childers	Leyland plus-form
317	1036682 + 6682103	13450	Jan 2023	Greg Childers	Leyland plus-form
318	10934414 + 44141093	13413	Jan 2023	Greg Childers	Leyland plus-form
319	(4215101 + 1) / 422	13384	Jun 2022	Florian Piesker	Generalized Wagstaff
320	2295670 + 5670229	13381	Jan 2023	Greg Childers	Leyland plus-form
321	2245685 + 5685224	13362	Jan 2023	Greg Childers	Leyland plus-form
322	Lucas(64063) / 464426465381142115542697818362662865912299	13347	Aug 2024	Serge Batalov	Lucas cofactor
323	See complete expression	13343	Aug 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(180090)
324	p(141528106)	13244	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
325	p(141513546)	13244	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
326	p(141512238)	13244	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
327	1935792 − 5792193	13238	Feb 2023	Youcef Lemsafer	Leyland minus-form
328	p(141255053)	13232	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
329	M(44431) / M(283) / M(157) / 430619564833	13231	Aug 2024	Alex Kruppa	Mersenne cofactor
330	6694682 + 4682669	13229	Jan 2023	Greg Childers	Leyland plus-form
331	p(141150528)	13227	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
332	p(141112026)	13225	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
333	p(141111278)	13225	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
334	See complete expression	13217	Aug 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(133962)
335	p(140859260)	13213	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
336	p(140807155)	13211	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
337	p(140791396)	13210	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
338	p(140760498)	13208	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
339	p(140710320)	13206	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
340	See complete expression	13202	Sep 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(134034)
341	p(140593907)	13201	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
342	p(140560280)	13199	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
343	p(140552343)	13199	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
344	p(140535370)	13198	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
345	p(140533925)	13198	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
346	p(140519816)	13197	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
347	25723867 + 38672572	13188	Jan 2023	Greg Childers	Leyland plus-form
348	19244015 + 40151924	13187	Jan 2023	Greg Childers	Leyland plus-form
349	See complete expression	13186	Nov 2024	Alfred Reich
350	1013172 + 22947	13173	Aug 2024	Alfred Reich
351	1013170 + 2697	13171	Aug 2024	Alfred Reich
352	1013162 + 87729	13163	Aug 2024	Alfred Reich
353	1013161 + 51729	13162	Aug 2024	Alfred Reich
354	1013160 + 11161	13161	Aug 2024	Alfred Reich
355	1013159 + 1807	13160	Aug 2024	Alfred Reich
356	29323789 + 37892932	13138	Jan 2023	Greg Childers	Leyland plus-form
357	34293712 + 37123429	13123	Dec 2022	Anonymous	Leyland plus-form
358	4614926 + 4926461	13122	Dec 2022	Anonymous	Leyland plus-form
359	25803841 + 38412580	13105	Dec 2022	Florian Piesker	Leyland plus-form
360	(243502 + 221751 + 1) / 71426334276062353	13079	Aug 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(130506)
361	See complete expression	13007	Oct 2024	Alfred Reich	Leyland minus-form cofactor
362	1013002 − 8 • 108 − 1	13002	Dec 2023	U.N.Owen	Near repdigit
363	24453836 + 38362445	12998	Dec 2022	Greg Childers	Leyland plus-form
364	21093908 + 39082109	12991	Dec 2022	Greg Childers	Leyland plus-form
365	17783993 + 39931778	12977	Aug 2022	Greg Childers	Leyland plus-form
366	See complete expression	12947	Aug 2024	Alex Kruppa	Mersenne cofactor of M(67235)
367	21073894 + 38942107	12943	Aug 2022	Greg Childers	Leyland plus-form
368	(50233491 − 1) / 35068626	12913	Mar 2023	Youcef Lemsafer	Generalized repunit cofactor
369	14674076 + 40761467	12907	Jul 2022	Greg Childers	Leyland plus-form
370	Sm10(3506) / 7937021247923634 ; See complete expression	12901	Jan 2023	Youcef Lemsafer	Smarandache base 10 cofactor
371	10274278 + 42781027	12884	Jul 2022	Greg Childers	Leyland plus-form
372	1595852 + 5852159	12883	Jul 2022	Greg Childers	Leyland plus-form
373	(242737 + 1) / 3	12865	May 2022	Greg Childers	Wagstaff
374	primV(97240) / 2054798130239231521	12822	Feb 2026	Paul Underwood	Lucas primitive part
375	See complete expression	12814	Aug 2024	Alex Kruppa	Mersenne cofactor of M(48127)
376	20953858 + 38582095	12814	Jul 2022	Greg Childers	Leyland plus-form
377	(367 • 715118 − 1) / 6	12778	Jun 2022	Florian Piesker	Near redigit in base 7
378	(326633 + 1) / 4	12707	Aug 2022	Florian Piesker	Generalized Wagstaff
379	242210 + 91549	12707	Mar 2023	Anonymous
380	(77 • 1012720 − 41) / 80794157024576083501251	12699	Mar 2023	Youcef Lemsafer
381	(3499 • 1012689 − 1) / 3	12693	Apr 2023	Florian Piesker
382	16893926 + 39261689	12672	Jul 2022	Greg Childers	Leyland plus-form
383	24823729 + 37292482	12660	Jul 2022	Greg Childers	Leyland plus-form
384	(4994691 − 1) / 498	12655	Jun 2022	Florian Piesker	Generalized repunit
385	2575248 + 5248257	12648	Jul 2022	Greg Childers	Leyland plus-form
386	M(53977) / M(701) / M(7711) / M(4907) / M(77) • 259969	12644	Jul 2024	Alex Kruppa	Mersenne cofactor of M(53977)
387	13784023 + 40231378	12630	Jul 2022	Greg Childers	Leyland plus-form
388	(26383687 + 36872638) / 530650435937411	12600	Mar 2023	Youcef Lemsafer	Leyland plus-form cofactor
389	(2055449 + 1) / 206	12595	Jun 2022	Florian Piesker	Generalized Wagstaff
390	(2305333 − 1) / 229	12593	Jun 2022	Florian Piesker	Generalized repunit
391	R(12611) / 151596145122775505868566782271	12581	Sep 2024	Alfred Reich	Repunit cofactor
392	Sm10(3418) / 10541062 ; See complete expression	12558	Jan 2023	Youcef Lemsafer	Smarandache base 10 cofactor
393	(239509 − 1) / (23257 − 1) / 11002902177363902238826201639790642566112031151441	12550	Mar 2023	Youcef Lemsafer	Generalized repunit cofactor
394	(241614 + 220807 + 1) / 231896371365555042937	12507	Jul 2024	Alex Kruppa
395	(8 • 1012527 − 11) / 66426466217992706366987547351	12500	Feb 2023	Youcef Lemsafer
396	26133650 + 36502613	12473	Jul 2022	Greg Childers	Leyland plus-form
397	35123512 + 33	12452	May 2025	Tengfei Wang	Lifchitz plus-form
398	10504096 + 10134096	12375	Jan 2023	Youcef Lemsafer
399	30523543 + 35433052	12346	May 2022	Greg Childers	Leyland plus-form
400	23893646 + 36462389	12317	May 2022	Greg Childers	Leyland plus-form
401	25773602 + 36022577	12287	May 2022	Greg Childers	Leyland plus-form
402	31723507 + 35073172	12280	May 2022	Greg Childers	Leyland plus-form
403	13253924 + 39241325	12252	May 2022	Greg Childers	Leyland plus-form
404	(1211353 +1) / 13	12251	Aug 2022	Florian Piesker	Generalized Wagstaff
405	(23671 • 1012192 − 1) / 9	12196	Apr 2022	Florian Piesker
406	M(55495) / M(11099) / M(5045) • M(1009) / 567767102431	12138	Jul 2024	Alex Kruppa	Mersenne cofactor of M(55495)
407	5354444 + 4444535	12125	May 2022	Greg Childers	Leyland plus-form
408	239999 + 18065	12041	Jul 2023	Oliver Kruse	Smallest 40000-bit prime
409	239999 + 1411862541	12041	Oct 2023	Frank Doornink	Part of smallest 40000-bit prime twin
410	239999 + 1411862543	12041	Oct 2023	Frank Doornink	Part of smallest 40000-bit prime twin
411	(714221 − 1) / 6	12018	Aug 2022	Florian Piesker	Generalized repunit
412	1012000 − 11319	12000	Dec 2023	U.N.Owen	Largest 12000 digit prime
413	397542 − 98	12000	Mar 2024	Edwin Hall
414	(2235110 − 405) / 4	12000	Mar 2024	Edwin Hall
415	417440 + 952	12000	Mar 2024	Edwin Hall
416	1011999 + 76621	12000	Oct 2023	U.N.Owen
417	1011999 + 72577	12000	Jan 2023	Frank Doornink
418	1011999 + 12757	12000	Jan 2024	U.N.Owen	Smallest 12000 digit prime
419	M(42991) / M(3307) / M(13)	11943	Jul 2024	Alex Kruppa	Mersenne cofactor of M(42991)
420	30703423 + 34233070	11937	May 2022	Greg Childers	Leyland plus-form
421	976006 − 600697	11933	Apr 2025	Tengfei Wang	Leyland minus-form
422	(886 • 199291 − 1) / 3	11884	Jun 2022	Florian Piesker
423	1310633 − 50	11845	Jun 2022	Florian Piesker
424	298096 + 10	11840	Jul 2022	Florian Piesker
425	(313 • 324761 − 1) / 2	11817	Jul 2022	Florian Piesker
426	(4589 • 516892 − 1) / 4	11811	Dec 2022	Anonymous
427	3 • 1011799 − 37	11800	Mar 2023	Youcef Lemsafer
428	(22683515 + 35152268) / 787343	11790	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
429	(3752! + 1) / 104478008869009	11770	Mar 2026	Anonymous	Factorial plus cofactor
430	(3732! + 1) / 5504713034011	11700	Feb 2026	Anonymous	Factorial plus cofactor
431	M(58389) / M(19463) / 501545671318332018168553	11695	Jul 2024	Alex Kruppa	Mersenne cofactor of M(58389)
432	14073712 + 37121407	11687	May 2022	Greg Childers	Leyland plus-form
433	25603423 + 34232560	11667	Jun 2022	Greg Childers	Leyland plus-form
434	22483469 + 34692248	11628	Jun 2022	Greg Childers	Leyland plus-form
435	(29153354 + 33542915) / 16793707319901665479	11602	Apr 2023	Youcef Lemsafer	Leyland plus-form cofactor
436	26693378 + 33782669	11575	Jun 2022	Greg Childers	Leyland plus-form
437	(516519 − 1) / 4	11546	Aug 2022	Florian Piesker	Generalized repunit
438	See complete expression	11522	Jul 2024	Alex Kruppa	Mersenne cofactor of M(62439)
439	21973442 + 34422197	11503	Jun 2022	Greg Childers	Leyland plus-form
440	1975000 − 5000197	11473	Sep 2024	Oliver Kruse	Leyland minus-form
441	(22213422 − 34222221) / 11	11451	Dec 2023	U.N.Owen	Leyland minus-form cofactor
442	See complete expression	11377	Sep 2025	Serge Batalov
443	(201 • 1415279 − 1) / 20	11347	Jun 2022	Florian Piesker
444	(4327 • 1011330 − 7) / 9	11333	Jun 2022	Florian Piesker
445	(1110867 − 1) / 10	11316	Aug 2022	Florian Piesker	Generalized repunit
446	15163557 + 35571516	11314	Jun 2022	Greg Childers	Leyland plus-form
447	1137 • 367259 + 19	11301	Apr 2023	Florian Piesker
448	4964189 + 4189496	11292	Jun 2022	Greg Childers	Leyland plus-form
449	9223805 + 3805922	11281	Jun 2022	Greg Childers	Leyland plus-form
450	4724217 + 4217472	11277	Jun 2022	Greg Childers	Leyland plus-form
451	13249 • 248131 − 49	11227	Jun 2022	Florian Piesker
452	7653892 + 3892765	11224	Jun 2022	Paul Leyland	Leyland plus-form
453	19663395 + 33951966	11182	Jun 2022	Greg Childers	Leyland plus-form
454	See complete expression	11155	Jul 2024	Alex Kruppa
455	(19 • 1011149 + 611) / 9	11150	Jul 2024	Alfred Reich
456	M(47435) • M(179) • M(53) • M(5) / M(9487) / M895) / M(265)	11146	Jul 2024	Alex Kruppa	Mersenne cofactor of M(47435)
457	31823182 + 33	11146	May 2025	Tengfei Wang	Lifchitz plus-form
458	29423213 + 32132942	11145	Jun 2022	Greg Childers	Leyland plus-form
459	(3570! + 1) / 1653141738351157	11120	Feb 2026	Anonymous	Factorial plus cofactor
460	(3134451 + 1) / 314	11106	Jun 2022	Florian Piesker	Generalized Wagstaff
461	179021 + 25	11100	Jun 2022	Florian Piesker
462	See complete expression	11064	Aug 2025	Serge Batalov
463	(5034093 − 1) / 502	11055	May 2023	Tom Wu	Generalized repunit
464	(17 • 1011046 + 7) / 3	11047	Aug 2023	Markus Tervooren
465	24823243 + 32432482	11010	May 2022	Greg Childers	Leyland plus-form
466	1011000 + 11973	11001	Jul 2024	Alfred Reich
467	(293869752365940771791281143446653 • 1010968 − 1) / 3	11000	Jun 2026	Anonymous	Prime / Emirp     new
468	(1011000 + 46652354920208825626736445697937) / 3	11000	Jun 2026	Anonymous	Prime / Emirp     new
469	1010999 + 24439	11000	Nov 2023	U.N.Owen
470	(133 • 1005496 − 1) / 33	10993	Jun 2022	Florian Piesker
471	12623543 + 35431262	10988	May 2022	Oliver Kruse	Leyland plus-form
472	27813188 + 31882781	10981	May 2022	Oliver Kruse	Leyland plus-form
473	30893142 + 31423089	10966	May 2022	Oliver Kruse	Leyland plus-form
474	13303509 + 35091330	10962	May 2022	Oliver Kruse	Leyland plus-form
475	995488 + 548899	10953	May 2022	Oliver Kruse	Leyland plus-form
476	17663369 + 33691766	10940	May 2022	Oliver Kruse	Leyland plus-form
477	(4794079 + 1) / 480	10931	Jun 2022	Florian Piesker	Generalized Wagstaff
478	5393996 + 3996539	10916	May 2022	Oliver Kruse	Leyland plus-form
479	(64 • 1010906 + 53) / 9	10907	May 2022	Greg Childers	Palindrome
480	M(36433) / 22829723232843819182760759315930113665799992643755857550482474537913	10901	Dec 2025	Oliver Kruse	Mersenne cofactor
481	30703121 + 31213070	10884	May 2022	Oliver Kruse	Leyland plus-form
482	12713502 + 35021271	10871	May 2022	Oliver Kruse	Leyland plus-form
483	(237651 + 1) / (21637 + 1) / 2796203	10835	Jul 2024	Alex Kruppa	Wagstaff cofactor
484	347035 + 703534	10774	May 2022	Greg Childers	Leyland plus-form
485	5793896 + 3896579	10764	May 2022	Oliver Kruse	Leyland plus-form
486	Sm3(3228) / 6690369309511780988346 ; See complete expression	10738	May 2026	Youcef Lemsafer	Smarandache base 3 cofactor     new
487	286 • 414 + 286 − 1	10718	May 2026	Alfred Reich	Dual Williams     new
488	21183217 + 32172118	10700	May 2022	Oliver Kruse	Leyland plus-form
489	Lucas(51169)	10694	Jan 2026	Anonymous	Lucas; recertified
490	2984309 + 4309298	10662	May 2022	Oliver Kruse	Leyland plus-form
491	11733470 + 34701173	10651	May 2022	Oliver Kruse	Leyland plus-form
492	292 • 384 + 292 − 1	10635	May 2026	Alfred Reich	Dual Williams     new
493	17553268 + 32681755	10603	May 2022	Oliver Kruse	Leyland plus-form
494	(19 • 1010613 − 73) / 20376889065137331	10598	Jul 2024	Alfred Reich
495	1010584 + 26191	10585	Aug 2024	Alfred Reich
496	(19 • 1010554 + 341) / 9	10555	Jul 2024	Alfred Reich
497	146462479 • 235001 + 8765	10545	Oct 2025	Paul Underwood	Part of a CPAP-3; d = 8766
498	21193160 + 31602119	10511	May 2022	Oliver Kruse	Leyland plus-form
499	(129739 − 1) / 11	10510	Jul 2022	Florian Piesker	Generalized repunit
500	24473100 + 31002447	10505	May 2022	Oliver Kruse	Leyland plus-form
501	(34 • 1010499 − 61) / 9	10500	Dec 2022	Jason Parker-Burlingham
502	1010470 + 3	10471	Aug 2022	Florian Piesker
503	12093392 + 33921209	10456	May 2022	Greg Childers	Leyland plus-form
504	26613052 − 30522661	10454	Jun 2025	Tengfei Wang	Leyland minus-form
505	29183013 − 30132918	10441	Jun 2025	Tengfei Wang	Leyland minus-form
506	16783225 + 32251678	10400	May 2022	Greg Childers	Leyland plus-form
507	17723201 + 32011772	10399	May 2022	Greg Childers	Leyland plus-form
508	(82 • 1010394 + 71) / 9	10395	Nov 2023	Richard G.	Palindrome
509	19663155 + 31551966	10392	May 2022	Anonymous	Leyland plus-form
510	(2 • 1010391 + 61) / 9	10391	Jan 2023	Florian Baur	Near repdigit
511	(419 • 712274 − 5) / 6	10375	Sep 2022	Florian Piesker
512	1010371 + 24679	10372	Aug 2024	Alfred Reich
513	1010370 + 7891	10371	Aug 2024	Alfred Reich
514	1010369 + 20863	10370	Aug 2024	Alfred Reich
515	27693008 − 30082769	10355	Jun 2025	Tengfei Wang	Leyland minus-form
516	17483193 − 31931748	10354	Feb 2024	Tengfei Wang	Leyland minus-form
517	See complete expression	10350	Jul 2024	Alex Kruppa	Mersenne cofactor of M(47575)
518	24483053 − 30532448	10347	Jun 2025	Tengfei Wang	Leyland minus-form
519	6 • Bern(4306) / 2153	10342	Jun 2022	Greg Childers	Irregular
520	29172982 − 29822917	10333	Jun 2025	Tengfei Wang	Leyland minus-form
521	8513522 + 3522851	10320	May 2022	Paul Leyland	Leyland plus-form
522	See complete expression	10317	Nov 2025	Anonymous	Repunit cofactor of R(40404)
523	2124431 − 4431212	10308	Jun 2023	Florian Piesker	Leyland minus-form
524	See complete expression	10305	May 2024	Richard G.
525	See complete expression	10300	Sep 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(119994)
526	19513128 − 31281951	10292	Jun 2023	Florian Piesker	Leyland minus-form
527	(4341 • 514720 − 1) / 4	10292	Oct 2022	Anonymous
528	(158741 − 1) / 14	10280	Jul 2022	Florian Piesker	Generalized repunit
529	613206 + 217	10277	Feb 2024	Florian Piesker
530	59056921173 • 234030 + 7	10255	Jun 2022	Greg Childers	Part of sexy prime pair
531	6973594 + 3594697	10219	May 2022	Greg Childers	Leyland plus-form
532	10613372 − 33721061	10203	Jun 2023	Florian Piesker	Leyland minus-form
533	(191 • 1055045 + 1) / 8	10199	Jun 2022	Florian Piesker
534	8123505 − 3505812	10198	Jun 2023	Florian Piesker	Leyland minus-form
535	See complete expression	10195	Jul 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(103206)
536	22313042 + 30422231	10187	May 2022	Oliver Kruse	Leyland plus-form
537	24293000 − 30002429	10157	Jun 2023	Florian Piesker	Leyland minus-form
538	15433178 + 31781543	10133	May 2022	Paul Leyland	Leyland plus-form
539	M(42145) / M(8429) / 13604811874892518060205885792305751	10116	Jul 2024	Alex Kruppa	Mersenne cofactor of M(42145)
540	11413308 − 33081141	10114	Jun 2023	Florian Piesker	Leyland minus-form
541	12343265 + 32651234	10094	Jun 2022	Greg Childers	Leyland plus-form
542	Φ(23912,10)	10081	Jun 2022	David Broadhurst	Cyclotomic polynomial cofactor   of R(23912)
543	(29092910 − 29102909) / 41	10078	Jan 2023	Youcef Lemsafer	Leyland minus-form cofactor
544	27392930 + 29302739	10073	Jun 2022	Greg Childers	Leyland plus-form
545	259692281 − 259682281	10069	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
546	29072907 + 18981898	10069	Dec 2025	Oliver Kruse	Lifchitz plus-form
547	See complete expression	10068	Jul 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(117222)
548	7433506 + 742	10066	May 2026	Alfred Reich	Dual Williams     new
549	2314253 − 2304253	10053	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
550	789102053 − 789092053	10053	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
551	8083456 + 807	10049	May 2026	Alfred Reich	Dual Williams     new
552	2072644824759 • 233333 + 5	10047	Jun 2022	Greg Childers	Part of first known gigantic prime   triplet; re-certified via CM
553	3783896 + 377	10042	May 2026	Alfred Reich	Dual Williams     new
554	6483571 + 3571648	10041	May 2022	Greg Childers	Leyland plus-form
555	6843538 + 683	10031	May 2026	Alfred Reich	Dual Williams     new
556	769832053 − 769822053	10031	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
557	769472053 − 769462053	10030	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
558	19813042 − 30421981	10030	May 2023	Anonymous	Leyland minus-form
559	763942053 − 763932053	10024	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
560	(3262! + 1) / 3091890367590330237362029	10022	Feb 2026	Anonymous	Factorial plus cofactor
561	915115 + 90	10021	May 2026	Alfred Reich	Dual Williams     new
562	1010020 + 16657	10021	Aug 2024	Alfred Reich
563	See complete expression	10020	May 2026	Anonymous	new
564	See complete expression	10020	May 2026	Anonymous	new
565	1010020 − 237	10020	Aug 2024	Alfred Reich
566	28942894 + 20532053	10018	May 2024	Oliver Kruse	Leyland plus-form
567	8313430 + 830	10015	May 2026	Alfred Reich	Dual Williams     new
568	(61 • 1010016 − 7) / 5193	10015	Jul 2026	Anonymous	new
569	See complete expression	10014	Jul 2024	Alex Kruppa	Mersenne cofactor of M(42679)
570	(44 • 1010021 − 71) / 4788509679	10013	Jul 2026	Anonymous	new
571	244992281 − 244982281	10011	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
572	(69032609 − 1) / 3997631498	10007	May 2026	Michael Porter	Generalized repunit cofactor     new
573	(1213911 − 1) / (124637 − 1) / 157	10007	May 2026	Michael Porter	Generalized repunit cofactor     new
574	(45 • 233283 − 1) / 2265199868100403	10006	May 2026	Michael Porter	Riesel cofactor     new
575	(71 • 233238 − 1) / 109	10006	May 2026	Michael Porter	Riesel cofactor     new
576	(1098 • 2394211 + 1) / 12688219834129	10006	May 2026	Michael Porter	Generalized Proth cofactor     new
577	(186292347 + 1) / 80942219296714530	10006	May 2026	Michael Porter	Generalized Wagstaff cofactor     new
578	(96132518 + 1) / 423844875449528964456890	10006	May 2026	Michael Porter	new
579	(185112351 − 1) / 4987222285699423705427686770	10006	May 2026	Michael Porter	Generalized repunit cofactor     new
580	(138999 + 1) / 58926919603466247634	10005	May 2026	Michael Porter	Generalized Wagstaff cofactor     new
581	(73142593 − 1) / 1752533160363107	10005	May 2026	Michael Porter	Generalized repunit cofactor     new
582	(84692549 − 1) / 43178332	10005	May 2026	Michael Porter	Generalized repunit cofactor     new
583	(135622426 + 1) / 877117813951457959945	10005	May 2026	Michael Porter	new
584	(1034 • 2394211 + 1) / 241143046561091	10005	May 2026	Michael Porter	new
585	(79 • 233263 − 1) / 115516295447	10004	May 2026	Michael Porter	Riesel cofactor     new
586	(162222381 − 1) / 702336971660428797573	10004	Apr 2026	Michael Porter	Generalized repunit cofactor
587	(111342473 − 1) / 11133	10004	May 2026	Michael Porter	Generalized repunit     new
588	(74 • 1010017 − 1) / 7003079578422563	10004	May 2026	Michael Porter	new
589	(10491721663 + 1) / 1049173	10003	May 2026	Michael Porter	Generalized Wagstaff cofactor     new
590	(39 • 233291 − 1) / 371972862859286220829	10003	Apr 2026	Michael Porter	Riesel cofactor
591	(125232446 + 1) / 286050143722457924330	10003	Apr 2026	Michael Porter
592	(48782713 − 1) / 4877	10003	Apr 2026	Michael Porter	Generalized repunit
593	(128902437 + 1) / 167222679108477	10003	May 2026	Michael Porter	Generalized Wagstaff cofactor     new
594	746152053 − 746142053	10003	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
595	(127 • 233220 − 1) / 3	10002	Apr 2026	Michael Porter	Riesel cofactor
596	(191 • 233262 − 1) / 26524711363663	10002	Apr 2026	Michael Porter	Riesel cofactor
597	(55 • 233282 − 1) / 19295840380197014631	10002	Apr 2026	Michael Porter	Riesel cofactor
598	(76542579 + 1) / 1730325449096005	10002	May 2026	Michael Porter	Generalized Wagstaff cofactor     new
599	515857 − 505857	10002	Apr 2025	Anonymous	Generalized Mersenne
600	(58262659 − 1) / 94295059225	10002	Apr 2026	Michael Porter	Generalized repunit cofactor
601	(111592474 + 1) / 6161536516642	10002	Apr 2026	Michael Porter
602	1010001 + 28331593	10002	May 2024	Anonymous
603	(46062731 + 1) / 4607	10001	Apr 2026	Michael Porter	Generalized Wagstaff
604	(33238 • 233239 + 1) / 4104169815	10001	Apr 2026	Michael Porter	Near Cullen cofactor
605	(197852333 − 1) / 34638852192398078083384	10001	Apr 2026	Michael Porter
606	(52 • 1010000 + 11) / 9	10001	Mar 2023	Youcef Lemsafer
607	(133572428 + 1) / 31829931492483602	10001	Apr 2026	Michael Porter
608	(73 • 233241 + 1) / 61024593	10001	Apr 2026	Michael Porter	Proth cofactor
609	(153122393 + 1) / 225232767773903	10001	Apr 2026	Michael Porter	Generalized Wagstaff cofactor
610	(137782417 + 1) / 13779	10001	Apr 2026	Michael Porter	Generalized Wagstaff
611	12843217 − 12833217	10001	Apr 2025	Anonymous	Generalized Mersenne
612	1010000 + 1017363	10001	Aug 2024	Alfred Reich
613	1010000 + 165031	10001	Aug 2024	Alfred Reich
614	1010000 + 65277	10001	Oct 2023	U.N.Owen
615	1010000 + 28579	10001	Oct 2023	U.N.Owen
616	1010000 − 22403	10000	Aug 2024	Alfred Reich
617	1010000 − 47717	10000	Aug 2024	Alfred Reich
618	1010000 − 65403	10000	Jan 2026	Alfred Reich
619	1010000 − 322497	10000	Sep 2024	Alfred Reich
620	894297 • 109994 + 711826	10000	Aug 2024	Alfred Reich
621	233219 − 52545	10000	Jul 2024	Alfred Reich
622	(46572732 + 1) / 2516045064327004328914	10000	Apr 2026	Michael Porter
623	(82302558 + 1) / 6158727069636769	10000	Apr 2026	Anonymous
624	631101 • 109994 + 711826	10000	Aug 2024	Alfred Reich
625	Fib(47850) + 20841	10000	Dec 2023	Tengfei Wang
626	(237371 + 397) / 41745703454270394607773342228304835316	10000	Jul 2024	Alfred Reich
627	(237344 + 231) / 8	10000	Jul 2022	Florian Piesker
628	(114952467 − 1) / 536935319091017126	10000	Apr 2026	Anonymous	Generalized repunit cofactor
629	299667 • 109994 + 711826	10000	Aug 2024	Alfred Reich
630	240708 • 109994 + 711826	10000	Aug 2024	Alfred Reich
631	233217 + 111	10000	May 2022	Anonymous
632	233217 − 721155	10000	Mar 2024	Edwin Hall
633	See complete expression	10000	Aug 2024	Alfred Reich
634	See complete expression	10000	Aug 2024	Alfred Reich	Leyland plus-form cofactor
635	Fib(47847) + 26679	10000	Jul 2024	Alfred Reich
636	(1010000 − 1) / 9 + 7 • 10885	10000	Aug 2024	Alfred Reich	Near repunit
637	233216 + 281577	10000	Mar 2023	Youcef Lemsafer
638	((11476 • 1035 + 4113)256 + 1) / 2	10000	Aug 2024	Alfred Reich	Generalized half-Fermat
639	(33875430588693130699512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
640	(33875430588693094381512 + 1) / 2	10000	Aug 2024	Alfred Reich	Generalized half-Fermat
641	(33875430588693072115512 + 1) / 2	10000	Apr 2026	Anonymous	Generalized half-Fermat
642	(33875430588693069661512 + 1) / 2	10000	Apr 2026	Anonymous	Generalized half-Fermat
643	(33875430588693069511512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
644	(33875430588693064859512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
645	(33875430588693062819512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
646	(33875430588693060889512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
647	(33875430588693060787512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
648	(33875430588693059443512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
649	(33875430588693058083512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
650	(33875430588693055871512 + 1) / 2	10000	Aug 2024	Alfred Reich	Generalized half-Fermat
651	1309747264300589758110032419673347620959731068338635399869049806286716959555931128 + 2	10000	Aug 2024	Alfred Reich
652	10 • (104999 + 520488)2 + 7	10000	Aug 2024	Alfred Reich
653	10 • (104999 + 517910)2 + 7	10000	Aug 2024	Alfred Reich
654	10 • (104999 + 86414)2 + 7	10000	Aug 2024	Alfred Reich
655	109999 + 1527231836097	10000	Mar 2026	Anonymous
656	109999 + 21870245691511147257	10000	Jul 2024	Alfred Reich
657	109999 + 7066834558999	10000	Aug 2024	Alfred Reich
658	109999 + 274366375363	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 2, 6
659	109999 + 274366375359	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 2, 6
660	109999 + 274366375357	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 2, 6
661	109999 + 194011932123	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 4, 6
662	109999 + 194011932121	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 4, 6
663	109999 + 194011932117	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 4, 6
664	109999 + 11147257	10000	May 2022	Anonymous
665	109999 + 780199	10000	Jul 2024	Alfred Reich
666	109999 + 78571	10000	Nov 2024	Alfred Reich
667	109999 + 70999	10000	Oct 2023	U.N.Owen
668	(109999 + 1253) / 3	9999	Jul 2024	Alfred Reich
669	22522981 − 29812252	9995	Jun 2023	Florian Piesker	Leyland minus-form
670	(52 • 109998 − 43) / 4035281193	9991	Mar 2023	Youcef Lemsafer
671	p(80036992)	9958	Feb 2026	Paul Underwood	Partitions   Recertified
672	(997 • 320847 − 1) / 2	9950	Jul 2022	Florian Piesker
673	(3 • 1074900 − 1) / 2	9945	Jun 2023	Florian Piesker
674	7383467 − 3467738	9944	Jun 2023	Florian Piesker	Leyland minus-form
675	See complete expression	9935	Jul 2024	Alex Kruppa	Mersenne cofactor of M(40411)
676	(82 • 109931 + 53) / 9	9932	Mar 2023	Youcef Lemsafer
677	14583139 − 31391458	9932	Jun 2023	Florian Piesker	Leyland minus-form
678	(4 • 109919 + 9) / 7	9919	Mar 2023	Youcef Lemsafer
679	(109918 − 1) / 9 − 109568	9918	Dec 2022	Youcef Lemsafer	Near repunit
680	27192882 − 28822719	9898	Jun 2023	Florian Piesker	Leyland minus-form
681	11283241 − 32411128	9893	Jun 2023	Florian Piesker	Leyland minus-form
682	(27 • 915048 − 1) / 2	9891	Jun 2022	Florian Piesker
683	27112880 − 28802711	9888	Jun 2023	Florian Piesker	Leyland minus-form
684	2394152 + 238	9876	Mar 2026	Alfred Reich	Dual Williams
685	232767 + 34769	9864	Oct 2023	Maia Karpovich
686	17413042 − 30421741	9859	Jan 2024	Tengfei Wang	Leyland minus-form
687	(19 • 109862 + 89) / 8814321	9857	Jul 2024	Alfred Reich
688	(86 • 109860 + 13) / 1669254641109	9850	Mar 2023	Youcef Lemsafer
689	4033780 − 3780403	9849	Feb 2024	Tengfei Wang	Leyland minus-form
690	232672 − 384539	9836	Mar 2023	Maia Karpovich
691	See complete expression	9800	Apr 2023	Youcef Lemsafer	Generalized Wagstaff cofactor
692	1984255 + 197	9773	Mar 2026	Alfred Reich	Dual Williams
693	3003943 + 299	9768	Mar 2026	Alfred Reich	Dual Williams
694	See complete expression	9750	Apr 2023	Youcef Lemsafer	Generalized repunit cofactor
695	See complete expression	9744	Jul 2024	Alex Kruppa	Mersenne cofactor of M(60765)
696	(839 • 910171 − 7) / 8	9708	Sep 2022	Florian Piesker
697	(14 • 109698 + 1) / 3	9699	Mar 2023	Youcef Lemsafer
698	(513873 − 1) / 4	9697	Jul 2022	Florian Piesker	Generalized repunit
699	1364543 + 135	9693	Mar 2026	Alfred Reich	Dual Williams
700	2584016 + 257	9683	Mar 2026	Alfred Reich	Dual Williams
701	(934903 − 1) / 92	9650	Jul 2022	Florian Piesker	Generalized repunit
702	2833931 + 282	9638	Mar 2026	Alfred Reich	Dual Williams
703	528 • 366178 + 31	9618	Dec 2022	Florian Piesker
704	(77 • 109614 + 31) / 23536898034822153	9600	Feb 2023	Youcef Lemsafer
705	2553987 + 254	9595	Mar 2026	Alfred Reich	Dual Williams
706	415927 + 3	9590	Mar 2026	Alfred Reich	Dual Williams
707	258 • 549 + 258 − 1	9586	May 2026	Alfred Reich	Dual Williams     new
708	(14 • 109580 + 1) / 3	9581	Apr 2023	Youcef Lemsafer
709	M(33373) / M(1451) / 19878816283502926167695890057664423	9576	Jul 2024	Alex Kruppa	Mersenne cofactor
710	2973859 + 296	9543	Mar 2026	Alfred Reich	Dual Williams
711	207331 − 197331	9538	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
712	(16 • 109534 − 7) / 9	9535	Apr 2026	Anonymous	Near repdigit
713	((215820 − 1)2 + 3) / 228	9523	Jul 2024	Alex Kruppa
714	(8 • 109507 − 71) / 9	9507	Apr 2026	Anonymous	Near repdigit
715	See complete expression	9502	Jul 2024	Alex Kruppa	Mersenne cofactor of M(42835)
716	16777216^1315+16777215	9501	May 2026	Alfred Reich	Dual Williams     new
717	1644289 − 1634289	9500	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
718	(109500 − 1) / 9 − 105303	9500	Mar 2023	Youcef Lemsafer	Near repunit
719	2264035 + 225	9499	Feb 2026	Alfred Reich	Dual Williams
720	585370 + 57	9470	Mar 2026	Alfred Reich	Dual Williams
721	1564316 + 155	9466	Feb 2026	Alfred Reich	Dual Williams
722	109458 + 99	9459	Feb 2026	Alfred Reich	Dual Williams
723	(1994096 + 374096) / 131074	9411	Jan 2023	Youcef Lemsafer
724	(15049 • 109403 − 1) / 9	9407	Apr 2023	Florian Piesker
725	(2 • 109401 + 61) / 9	9401	Jan 2023	Florian Baur	Near repdigit
726	(64 • 109400 + 71) / 711	9399	Mar 2023	Youcef Lemsafer
727	(1974096 + 1894096) / 2	9398	Jan 2023	Youcef Lemsafer
728	555390 + 54	9381	Mar 2026	Alfred Reich	Dual Williams
729	109377 + 4551	9378	Aug 2024	Alfred Reich
730	2094032 + 208	9355	Mar 2026	Alfred Reich	Dual Williams
731	(3070! − 1) / 351053272725239827774649	9351	Feb 2026	Anonymous	Factorial minus cofactor
732	177596 + 16	9347	Mar 2026	Alfred Reich	Dual Williams
733	505496 + 49	9338	Mar 2026	Alfred Reich	Dual Williams
734	207176 + 19	9337	Mar 2026	Alfred Reich	Dual Williams
735	Φ(15717,10) / 19371189787956960101904837526140849990432949485984853	9308	Jul 2025	Anonymous	Repunit cofactor of R(15717)
736	(41 • 109300 − 23) / 9	9301	Feb 2023	Youcef Lemsafer
737	M(31181) / 21140719 / 253673383177500449 / 857820870366776701460174543   / 63143923609122773219414658038747759	9300	Dec 2025	Oliver Kruse	Mersenne cofactor
738	(513241 − 1) / 4	9255	Jul 2022	Florian Piesker	Generalized repunit
739	299 • 310 + 299 − 1	9239	May 2026	Alfred Reich	Dual Williams     new
740	Φ(13917,10) / ​1403524851659109979105248773826147953493807800675107	9225	Sep 2024	Alfred Reich	Cyclotomic polynomial cofactor   of R(13917)
741	See complete expression	9169	Jun 2024	Alex Kruppa	Mersenne cofactor of M(47337)
742	M(38105) / M(7621) / 85163760511	9166	Jun 2024	Alex Kruppa	Mersenne cofactor
743	2873728 + 286	9163	Mar 2026	Alfred Reich	Dual Williams
744	See complete expression	9142	Jun 2024	Alex Kruppa	Mersenne cofactor of M(56955)
745	714919 − 704919	9107	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
746	1281979 • 109078 + 9791821	9085	Sep 2022	Anonymous
747	Sm2(2857) / 201680398811064555 ; See complete expression	9075	May 2026	Youcef Lemsafer	Smarandache base 2 cofactor     new
748	9993015 + 998	9044	May 2026	Alfred Reich	Dual Williams     new
749	(1614096 + 1574096) / 2	9039	Jan 2023	Youcef Lemsafer
750	1644079 − 1634079	9035	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
751	Φ(45340 [C+D] ,10) / ​436539564528651438637853247761	9034	Sep 2024	Alfred Reich	Cyclotomic polynomial cofactor   of R(45340)
752	229999 + 322389431	9031	Oct 2023	Frank Doornink	Part of smallest 30000-bit prime twin
753	229999 + 322389429	9031	Oct 2023	Frank Doornink	Part of smallest 30000-bit prime twin
754	229999 + 28911	9031	Jul 2023	Oliver Kruse	Smallest 30000-bit prime
755	primV(89100)	9029	Feb 2026	Vishwath Ganesan	Lucas primitive part
756	(2971 • 512899 − 1) / 2	9020	Sep 2022	Florian Piesker
757	(109022 − 28) / 459131477292	9011	Mar 2024	Youcef Lemsafer
758	(16452802 + 28021645) / 54521153	9004	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
759	(86112681 − 1) / (8611383 − 1) / 10756307476841112466091538968116681045957633	9000	Mar 2024	Edwin Hall	Generalized repunit cofactor
760	3761 • (37602627 + 1) / (376071 + 1) / (376037 + 1) / 11925450391	9000	Mar 2024	Edwin Hall	Generalized Wagstaff cofactor
761	See complete expression	9000	Mar 2024	Edwin Hall
762	(22092693 + 26932209) / 5355882	9000	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
763	(109001 − 869) / 89	9000	Mar 2024	Edwin Hall
764	(109000 − 1) / 9 − 103826	9000	Nov 2023	U.N.Owen	Near repunit
765	(109000 − 1) / 9 − 105167	9000	May 2026	Anonymous	Near repunit     new
766	16 • 365779 − 1163	8996	Dec 2022	Florian Piesker
767	(1574096 + 1114096) / 2	8995	Jan 2023	Youcef Lemsafer
768	(1574096 + 834096) / 2	8995	Jan 2023	Youcef Lemsafer
769	655361867 + 65535	8993	May 2026	Alfred Reich	Dual Williams     new
770	(48058 • 89949 − 3) / 7	8989	Oct 2022	Florian Piesker
771	(2960! − 1) / 3106921	8986	Feb 2026	Anonymous	Factorial minus cofactor
772	206899 − 196899	8976	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
773	1554096 + 664096	8972	Jan 2023	Youcef Lemsafer
774	108960 − 19389	8960	Aug 2024	Alfred Reich
775	1534096 + 404096	8949	Jan 2023	Youcef Lemsafer
776	157559 − 147559	8891	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
777	(884586 + 458688) / 288 / 1985	8888	Jul 2024	Alfred Reich	Leyland plus-form cofactor
778	41943041341 + 4194303	8881	May 2026	Alfred Reich	Dual Williams     new
779	108802 − 20577	8802	Aug 2024	Alfred Reich
780	(123482153 − 1) / 6698951279	8800	Apr 2023	Youcef Lemsafer	Generalized repunit cofactor
781	25692569 + 22	8760	May 2025	Tengfei Wang	Lifchitz plus-form
782	1374096 + 104096	8753	Jan 2023	Youcef Lemsafer
783	3953370 + 394	8751	May 2026	Alfred Reich	Dual Williams     new
784	108744 − 27857	8744	Aug 2024	Alfred Reich
785	(31 • 177092 − 15) / 16	8727	Jun 2022	Florian Piesker
786	(2881! − 1) / 643121	8713	Feb 2026	Anonymous	Factorial minus cofactor
787	(65 • 108709 + 43) / 16087990743	8701	Feb 2023	Youcef Lemsafer
788	1663917 − 1653917	8697	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
789	1114250 + 110	8693	Mar 2026	Alfred Reich	Dual Williams
790	724673 − 467372	8680	Mar 2023	Youcef Lemsafer	Leyland minus-form
791	1773860 + 176	8678	Mar 2026	Alfred Reich	Dual Williams
792	See PrimePages for more informations	8678	Aug 2025	Serge Batalov	Lehmer primitive part
793	(7 • 108653 − 61) / 7551	8650	Feb 2023	Youcef Lemsafer
794	2263674 + 225	8649	Mar 2026	Alfred Reich	Dual Williams
795	(86 • 108621 − 41) / 58239	8619	Feb 2023	Youcef Lemsafer
796	(1274096 + 904096) / 163841	8612	Feb 2023	Youcef Lemsafer
797	18641 • (186402359 + 1) / (18640337 + 1) / 163857991005752979174572330844369578279	8601	Mar 2023	Youcef Lemsafer	Generalized Wagstaff cofactor
798	1653878 + 164	8600	Mar 2026	Alfred Reich	Dual Williams
799	(8472941 + 2941847) / 527481769684	8600	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
800	(108600 − 1) / 9 − 104293	8600	Mar 2023	Youcef Lemsafer	Near repunit
801	1034272 − 4272103	8599	Feb 2023	Youcef Lemsafer	Leyland minus-form
802	(6413070 + 3070641) / 33971826983411341967	8598	Mar 2023	Youcef Lemsafer	Leyland plus-form cofactor
803	(9901 • 108589 − 1) / 9	8593	Jul 2022	Florian Piesker
804	(1394012 + 4012139) / 100314287268997379755577	8575	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
805	(108579 − 3) / 39671	8575	Feb 2023	Youcef Lemsafer
806	(82 • 108570 − 1) / 9	8571	Aug 2023	Anonymous	Near repunit
807	(14 • 108570 + 1) / 687	8569	Feb 2023	Youcef Lemsafer
808	(1111111102 • 108557 − 1) / 9	8566	Mar 2024	Tengfei Wang
809	(1234096 + 1154096) / 2506754	8554	Jan 2023	Youcef Lemsafer
810	(68 • 108555 + 31) / 134379	8552	Feb 2023	Youcef Lemsafer
811	1224096 + 694096	8546	Jan 2023	Youcef Lemsafer
812	(28 • 108537 − 1) / 9	8538	Jan 2023	Florian Piesker	Near repunit
813	(64 • 108541 + 17) / 338616927009	8532	Mar 2023	Youcef Lemsafer
814	(7 • 108529 − 43) / 9732121263	8520	Mar 2023	Youcef Lemsafer
815	(118192 + 24096) / 811750637569	8520	Jan 2023	Youcef Lemsafer
816	(710079 − 1) / 8345418	8511	Oct 2024	Jiahao He	Generalized repunit cofactor
817	(10282825 + 28251028) / 1623887337	8500	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
818	(13 • 228232 − 1) / 3	8500	Sep 2025	Oliver Kruse	Riesel cofactor
819	(73 • 108502 + 71) / 170487	8499	Mar 2023	Youcef Lemsafer
820	1094170 + 108	8497	Mar 2026	Alfred Reich	Dual Williams
821	M(42447) / M(14149) / 86581124763285473569129	8496	Jun 2024	Alex Kruppa	Mersenne cofactor
822	(2808! + 1) / 1806839	8460	Feb 2026	Anonymous	Factorial plus cofactor
823	(3473331 − 1) / 346	8460	May 2023	Tom Wu	Generalized repunit
824	(200100299192771693491 − 1) / 1373898629474229166883705969951160284311606388	8450	Mar 2023	Youcef Lemsafer	Generalized repunit cofactor
825	(2805! − 1) / 539927183	8447	Feb 2026	Anonymous	Factorial minus cofactor
826	See complete expression	8446	Jun 2024	Alex Kruppa	Mersenne cofactor of M(53055)
827	(3123373 − 1) / 311	8411	Jun 2022	Florian Piesker	Generalized repunit
828	(108414 + 775) / 103775	8409	Jul 2024	Alfred Reich
829	108408 + 39913	8409	Jul 2024	Alfred Reich
830	(1134096 + 724096) / 273801217	8401	Jan 2023	Youcef Lemsafer
831	(9582819 + 2819958) / 200317	8400	Jan 2023	Youcef Lemsafer	Leyland plus-form cofactor
832	2873410 − 2	8382	Jun 2022	Florian Piesker
833	2376 • (23772641 − 1) / (2377139 − 1) / (237719 − 1) / 1477935293	8377	Feb 2023	Youcef Lemsafer	Generalized repunit cofactor
834	(1114096 + 404096) / 10737647617	8368	Jan 2023	Youcef Lemsafer
835	(11062749 + 27491106) / 263458528020130533	8350	May 2023	Youcef Lemsafer	Leyland plus-form cofactor
836	(35862351 − 1) / 16860255	8350	Mar 2023	Youcef Lemsafer	Generalized repunit cofactor
837	See complete expression	8338	Jun 2024	Alex Kruppa
838	(317477 − 1) / 1245760562	8330	Oct 2024	Jiahao He	Generalized repunit cofactor
839	See complete expression	8300	Feb 2023	Youcef Lemsafer	Generalized repunit cofactor
840	894253 − 884253	8291	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
841	Sm2(2636) / 24124 ; See complete expression	8289	May 2026	Youcef Lemsafer	Smarandache base 2 cofactor     new
842	(117963 −1) / 43224926255859775947744209544153708970	8255	Oct 2024	Jiahao He	Generalized repunit cofactor
843	(13162647 + 26471316) / 3196923	8251	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
844	(22 • 108233 − 13) / 9	8234	Jul 2022	Anonymous
845	335419 − 325419	8229	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
846	1723671 − 1713671	8207	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
847	(38 • 108216 − 11) / 54190320114037707	8201	Mar 2023	Youcef Lemsafer
848	(41392267 − 1) / 4138	8196	Jan 2024	Tom Wu	Generalized repunit
849	(71 • 108196 − 53) / 33220323	8191	Feb 2023	Youcef Lemsafer
850	16 • 206270 + 13	8159	Jun 2022	Florian Piesker
851	Sm3(2546) ; See complete expression	8157	May 2026	Youcef Lemsafer	Smarandache base 3     new
852	(11 • 108128 +3) / 97	8128	Sep 2025	Oliver Kruse
853	(674451 − 1) / 66	8127	Jan 2024	Tom Wu	Generalized repunit
854	108124 + 4147	8125	Aug 2024	Alfred Reich
855	(317027 + 1) / 4	8124	Jul 2022	Florian Piesker	Generalized Wagstaff
856	564639 − 554639	8110	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
857	664447 − 654447	8092	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
858	(934096 + 384096) / 188417	8058	Jan 2023	Youcef Lemsafer
859	(70132087 − 1) / 7012	8023	Dec 2025	Oliver Kruse	Generalized repunit
860	(53 • 108033 − 71) / 62932385240091	8021	Feb 2023	Youcef Lemsafer
861	(108009 − 1) / 9 − 102515	8009	Sep 2024	Oliver Kruse	Near repunit
862	(38242237 − 1) / 171044843	8006	Feb 2023	Youcef Lemsafer	Generalized repunit cofactor
863	226577 + 27132 + 1	8001	May 2026	Anonymous	new
864	(32692281 + 1) / 25519260590121990	8000	Mar 2024	Edwin Hall	Generalized Wagstaff cofactor
865	(79467 + 69) / 4	8000	Mar 2024	Edwin Hall
866	(434902 + 167) / 23920176	8000	Apr 2025	Anonymous
867	12170 • (121692059 + 1) / (1216971 + 1) / (1216929 + 1) / 29637247	8000	Mar 2024	Edwin Hall	Generalized Wagstaff cofactor
868	(141601931 − 1) / 12920932028719289	8000	Jan 2023	Anonymous	Generalized repunit cofactor
869	(121 • 226589 − 1) / 4027553	8000	Jul 2022	Florian Piesker	Riesel cofactor
870	(87992029 − 1) / 8798	8000	Nov 2022	Anonymous	Generalized repunit
871	(32411 • 365138 − 1) / 35	8000	Jul 2022	Florian Piesker
872	See complete expression	8000	Mar 2024	Edwin Hall
873	See complete expression	8000	Mar 2024	Edwin Hall
874	(1953496 + 3496195) / 5670889	8000	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
875	((6156 + 1)66 + 2) / 5329098793947	8000	Mar 2024	Edwin Hall
876	See complete expression	8000	Mar 2024	Edwin Hall	Generalized repunit cofactor
877	See complete expression	8000	May 2026	Anonymous	new
878	107999 + 1600488488137	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
879	107999 + 1600488488133	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
880	107999 + 1600488488131	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
881	107999 + 59692204803	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
882	107999 + 59692204801	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
883	107999 + 308129599	8000	Oct 2023	U.N.Owen
884	107999 + 273025591	8000	Mar 2024	Edwin Hall
885	(8 • 107995 − 53) / 9	7995	Apr 2026	Anonymous	Near repdigit
886	(894096 + 334096) / 8929282	7978	Jan 2023	Youcef Lemsafer
887	(35 • 108001 − 53) / 8827926799385761612706799	7978	Feb 2023	Youcef Lemsafer
888	3513130 + 350	7967	Mar 2026	Alfred Reich	Dual Williams
889	(19 • 107959 − 73) / 339391917	7952	Jul 2024	Alfred Reich
890	(2443331 − 1) / 243	7951	Jun 2022	Florian Piesker	Generalized repunit
891	(2 • 107925 + 61) / 9	7925	Jan 2023	Florian Baur	Near repdigit
892	8232712 − 2712823	7907	May 2025	Tengfei Wang	Leyland minus-form
893	7342759 − 2759734	7907	May 2025	Tengfei Wang	Leyland minus-form
894	(77 • 107906 + 31) / 33854049	7901	Feb 2023	Youcef Lemsafer
895	(38032207 − 1) / 3802	7898	Jan 2024	Tom Wu	Generalized repunit
896	See PrimePages for more informations	7891	Aug 2025	Serge Batalov	Part of CHG-proof of   Lehmer primitive part
897	1723527 − 1713527	7885	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
898	(38 • 107876 + 43) / 9	7877	Jul 2022	Anonymous
899	12 • 186270 + 221	7872	Jun 2022	Florian Piesker
900	Sm2(2517) / 185 ; See complete expression	7861	May 2026	Youcef Lemsafer	Smarandache base 2 cofactor     new
901	17122429 − 24291712	7855	May 2025	Tengfei Wang	Leyland minus-form
902	22112344 − 23442211	7840	May 2025	Tengfei Wang	Leyland minus-form
903	(5172887 − 1) / 516	7832	Jun 2022	Florian Piesker	Generalized repunit
904	21662347 − 23472166	7829	May 2025	Tengfei Wang	Leyland minus-form
905	(2620! + 1) / 2621	7817	Feb 2026	Anonymous	Factorial plus cofactor
906	(2623! − 1) / 3914111041830581	7815	Feb 2026	Anonymous	Factorial minus cofactor
907	1083841 − 3841108	7811	May 2025	Tengfei Wang	Leyland minus-form
908	(107807 + 27 • 103903 − 1) / 19323	7803	Feb 2023	Youcef Lemsafer
909	7442717 − 2717744	7803	May 2025	Tengfei Wang	Leyland minus-form
910	(7 • 107784 + 11) / 9	7784	Apr 2026	Anonymous	Near repdigit
911	See complete expression	7778	Sep 2025	Oliver Kruse	Mersenne cofactor of M(26161)
912	107777 + 23631	7778	Dec 2022	Youcef Lemsafer
913	230 • 860 + (230 − 1)	7767	May 2026	Alfred Reich	Dual WIlliams     new
914	7902679 − 2679790	7763	May 2025	Tengfei Wang	Leyland minus-form
915	− E(2762) / 2670541	7760	May 2023	Frank Doornink	Euler irregular   re-certified via CM
916	17432392 − 23921743	7754	Feb 2024	Florian Piesker	Leyland minus-form
917	22302313 − 23132230	7745	Feb 2024	Florian Piesker	Leyland minus-form
918	(19 • 107733 − 73) / 1262287288345540958091	7714	Jul 2024	Alfred Reich
919	(23 • 107719 + 1) / 70520620353765145773	7701	Feb 2023	Youcef Lemsafer
920	(41272129 − 1) / 4126	7695	Sep 2024	Tom Wu	Generalized repunit
921	Φ(19310,10) / 59723691770615984462270474099257662234974081	7677	Jul 2025	Anonymous	Repunit cofactor of R(19310)
922	(754096 + 174096) / 229378	7675	Jan 2023	Youcef Lemsafer
923	2953096 − 3096295	7647	May 2025	Tengfei Wang	Leyland minus-form
924	14972404 − 24041497	7634	Jan 2024	Florian Piesker	Leyland minus-form
925	296 • 264 + 296 − 1	7630	May 2026	Alfred Reich	Dual Williams     new
926	13 • 285270 + 5697	7628	Oct 2022	Anonymous
927	19912312 − 23121991	7628	Jan 2024	Florian Piesker	Leyland minus-form
928	(734096 + 374096) / 81922	7628	Jan 2023	Youcef Lemsafer
929	20712298 − 22982071	7621	Jan 2024	Florian Piesker	Leyland minus-form
930	1433524 + 142	7596	Feb 2026	Alfred Reich	Dual Williams
931	(8 • 107581 − 17) / 9	7581	Apr 2026	Anonymous	Near repdigit
932	2053278 − 3278205	7578	Jan 2024	Florian Piesker	Leyland minus-form
933	11452466 − 24661145	7544	Jan 2024	Florian Piesker	Leyland minus-form
934	(12972423 − 1) / 1296	7540	Sep 2023	Anonymous	Generalized repunit
935	(843917 − 1) / 83	7536	Jul 2022	Florian Piesker	Generalized repunit
936	(19 • 107581 − 73) / 705339555643950750455644733834598431861786767432209	7532	Jul 2024	Alfred Reich
937	(19 • 107532 − 73) / 311235687	7525	Jul 2024	Alfred Reich
938	(8 • 107517 − 17) / 66339998953749837	7502	Dec 2022	Youcef Lemsafer
939	(684096 + 374096) / 3625623553	7497	Jan 2023	Youcef Lemsafer
940	(510723 + 1) / 1685398254	7486	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
941	14572366 − 23661457	7485	Jan 2024	Florian Piesker	Leyland minus-form
942	2153206 −3206215	7478	Jan 2024	Florian Piesker	Leyland minus-form
943	3922883 − 2883392	7477	Jan 2024	Florian Piesker	Leyland minus-form
944	11122453 − 24531112	7473	Jan 2024	Florian Piesker	Leyland minus-form
945	(13192393 − 1) / 1318	7464	Jun 2023	Tom Wu	Generalized repunit
946	454513 + 44	7461	Feb 2026	Alfred Reich	Dual Williams
947	(69587 − 1) / 1547659697921495	7445	Oct 2024	Jiahao He	Generalized repunit cofactor
948	15582331 − 23311558	7442	Jan 2024	Florian Piesker	Leyland minus-form
949	13822367 − 23671382	7434	Jan 2024	Florian Piesker	Leyland minus-form
950	M(24977) /   356188988279565678860712219326788909779222981959375612731418246191096000840878817568687	7433	May 2025	Anonymous	Mersenne cofactor
951	305016 + 29	7410	Mar 2026	Alfred Reich	Dual Williams
952	9 • 107400 − 13	7401	Dec 2022	Youcef Lemsafer
953	See complete expression	7401	Aug 2024	Alfred Reich	Generalized repunit cofactor
954	(107400 − 1) / 9 − 10135	7400	Dec 2022	Youcef Lemsafer	Near repunit
955	107399 + 4119	7400	Dec 2022	Youcef Lemsafer
956	2703039 + 269	7389	Mar 2026	Alfred Reich	Dual Williams
957	(19 • 107388 − 73) / 2519251881192081	7374	Jul 2024	Alfred Reich	-
958	(510567 − 1) / 462684221045557737731337100158760674675356	7345	Oct 2024	Jiahao He	Generalized repunit cofactor
959	(11872389 − 1) / 1186	7342	Jun 2023	Tom Wu	Generalized repunit
960	8822491 − 2491882	7338	Aug 2023	Florian Piesker	Leyland minus-form
961	(75 • 224339 − 1) / 248209057	7321	Sep 2024	Anonymous	Riesel cofactor
962	294996 + 28	7307	Mar 2026	Alfred Reich	Dual Williams
963	2802984 + 279	7303	Mar 2026	Alfred Reich	Dual Williams
964	See complete expression	7299	Sep 2024	Serge Batalov	Cyclotomic polynomial cofactor   of 1247505550 − 1
965	18122239 − 22391812	7296	Aug 2023	Florian Piesker	Leyland minus-form
966	205604 + 19	7291	Mar 2026	Alfred Reich	Dual Williams
967	11 • 136543 + 2012	7290	Jun 2022	Florian Piesker
968	Sm2(2367) / 8240252132454151823354614566346645 ; See complete expression	7288	May 2026	Youcef Lemsafer	Smarandache base 2 cofactor     new
969	(1743251 − 1) / 173	7282	Jun 2022	Florian Piesker	Generalized repunit
970	(8 • 107254 − 53) / 9	7254	Apr 2026	Anonymous	Near repdigit
971	983641 − 99	7251	Jan 2026	Alfred Reich	Dual Williams
972	19882193 − 21931988	7234	Jul 2023	Florian Piesker	Leyland minus-form
973	(16831# + 1) / 42012052913	7231	May 2026	Jiahao He	Primorial plus cofactor     new
974	21632164 − 21642163	7218	Jul 2023	Florian Piesker	Leyland minus-form
975	(5 • 304883 + 401) / 29	7213	Jun 2022	Florian Piesker
976	107203 + 8049	7204	Aug 2024	Alfred Reich
977	(107200 − 1) / 9 − 10620	7200	Jul 2024	Alfred Reich	Near repunit
978	(107200 − 1) / 9 − 104584	7200	Jul 2024	Alfred Reich	Near repunit
979	2992906 + 298	7195	Mar 2026	Alfred Reich	Dual Williams
980	(36549 • 364619 − 289) / 35	7192	Dec 2022	Florian Piesker
981	12192324 − 23241219	7172	Jul 2023	Florian Piesker	Leyland minus-form
982	(7 • 107163 − 61) / 9	7163	Apr 2026	Anonymous	Near repdigit
983	3282847 − 2847328	7163	Jul 2023	Florian Piesker	Leyland minus-form
984	(31092048 + 1) / 2	7153	Jun 2026	Jiahao He	Generalized half-Fermat     new
985	1203440 + 119	7153	Mar 2026	Alfred Reich	Dual Williams
986	2882907 + 287	7150	Mar 2026	Alfred Reich	Dual Williams
987	(8632423 − 1) / 862	7112	May 2023	Tom Wu	Generalized repunit
988	(314957 + 1) / 1483315759467807874109351530756	7107	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
989	15152234 − 22341515	7106	Jul 2023	Florian Piesker	Leyland minus-form
990	(979 • 364563 − 629) / 35	7103	Dec 2022	Florian Piesker
991	(4 • 107122 + 17) / 82113205012595611229319	7100	Dec 2022	Youcef Lemsafer
992	(414410 + 40) / 269785789357018487396191933	7086	Nov 2024	Alfred Reich	Dual Williams cofactor
993	(2409! + 1) / 3412969897334266847	7084	Feb 2026	Anonymous	Factorial plus cofactor
994	13812252 − 22521381	7072	Jul 2023	Florian Piesker	Leyland minus-form
995	(7 • 223487 + 1) / 3	7071	Aug 2024	Alfred Reich	Proth cofactor
996	14032246 − 22461403	7069	Jul 2023	Florian Piesker	Leyland minus-form
997	(1493251 − 1) / 148	7063	Jun 2023	Tom Wu	Generalized repunit
998	(2399! + 1) / 1474177808410384291551082268437	7039	Feb 2026	Anonymous	Factorial plus cofactor
999	(11 • 107020 − 101) / 9	7021	Oct 2024	Alfred Reich
1000	(89 • 223281 − 1) / 11584437	7004	Sep 2024	Oliver Kruse	Riesel cofactor
1001	107002 + 51159	7003	Aug 2024	Alfred Reich
1002	(19732125 + 21251973) / 6	7002	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
1003	107001 + 301	7002	Dec 2023	U.N.Owen
1004	(143 • 223276 + 1) / 1243550463	7000	Jun 2022	Anonymous	Proth cofactor
1005	(78305 + 131) / 5948061232140505794	7000	Mar 2024	Edwin Hall
1006	(42561969 + 39382128) / 22128 / 28264230669	7000	Mar 2024	Edwin Hall
1007	(107000 + 546) / 2	7000	Sep 2023	U.N.Owen
1008	(35 • 107007 − 53) / 961231689	7000	May 2026	Anonymous	new
1009	14983 • (149841763 − 1) / (1498443 − 1) / (1498441 − 1) / 5711006133239723	7000	Mar 2024	Edwin Hall	Generalized repunit cofactor
1010	(6582487 + 2487658) / 4307646419	7000	Nov 2024	Alfred Reich	Leyland plus-form cofactor
1011	(11 • 107000 + 61) / 63	7000	Dec 2022	Youcef Lemsafer
1012	106999 + 1868862621093	7000	Sep 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1013	106999 + 1868862621091	7000	Sep 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1014	106999 + 1868862621087	7000	Sep 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1015	106999 + 1141791245443	7000	Aug 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1016	106999 + 1141791245439	7000	Aug 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1017	106999 + 1141791245437	7000	Aug 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1018	2083019 + 207	6999	Mar 2026	Alfred Reich	Dual Williams
1019	106998 + 699817 + 1710	6999	Jan 2023	Youcef Lemsafer
1020	9552348 − 2348955	6998	Jul 2023	Florian Piesker	Leyland minus-form
1021	1923064 + 191	6997	Mar 2026	Alfred Reich	Dual Williams
1022	2133004 + 212	6995	Mar 2026	Alfred Reich	Dual Williams
1023	(514096 + 144096) / 114689	6990	Jan 2023	Youcef Lemsafer
1024	2622889 + 261	6987	Mar 2026	Alfred Reich	Dual Williams
1025	106966 + 54967	6967	Aug 2024	Alfred Reich
1026	404348 + 39	6966	Mar 2026	Alfred Reich	Dual Williams
1027	274864 + 26	6963	Mar 2026	Alfred Reich	Dual Williams
1028	593930 − 393059	6960	Jul 2023	Florian Piesker	Leyland minus-form
1029	(35 • 106954 − 593) / 9	6955	Jan 2023	Florian Piesker
1030	(20032107 − 21072003) / 227032	6952	Sep 2024	Anonymous	Leyland minus-form cofactor
1031	1563169 − 1553169	6951	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
1032	1433214 + 142	6928	Mar 2026	Alfred Reich	Dual Williams
1033	(27 • 1353250 − 1) / 2	6925	May 2022	Ryan S. Propper
1034	(4 • 106923 − 1) / 3	6924	Nov 2022	Anonymous
1035	2902802 + 289	6900	Mar 2026	Alfred Reich	Dual Williams
1036	16732138 − 21381673	6892	Jul 2023	Florian Piesker	Leyland minus-form
1037	1243288 + 123	6884	Mar 2026	Alfred Reich	Dual Williams
1038	723704 + 71	6880	Mar 2026	Alfred Reich	Dual Williams
1039	1972996 + 196	6875	Mar 2026	Alfred Reich	Dual Williams
1040	17692112 − 21121769	6860	Jul 2023	Florian Piesker	Leyland minus-form
1041	16152138 − 21381615	6860	Jul 2023	Florian Piesker	Leyland minus-form
1042	9662297 − 2297966	6857	Jul 2023	Florian Piesker	Leyland minus-form
1043	2132944 − 2944213	6855	Jul 2023	Florian Piesker	Leyland minus-form
1044	523991 + 51	6849	Mar 2026	Alfred Reich	Dual Williams
1045	(11 • 1753048 − 1) / 2	6838	Jun 2022	Florian Piesker
1046	16352126 − 21261635	6832	Jul 2023	Florian Piesker	Leyland minus-form
1047	(17 • 106812 + 7) / 3	6813	Aug 2023	Markus Tervooren
1048	(21172048 + 1) / 2	6811	Aug 2022	Florian Piesker	Generalized half-Fermat
1049	1393175 + 138	6805	Mar 2026	Alfred Reich	Dual Williams
1050	4482565 − 2565448	6801	Jul 2023	Florian Piesker	Leyland minus-form
1051	6752401 + 674	6794	May 2026	Alfred Reich	Dual Williams     new
1052	(106786 − 1) / 9 − 102992	6786	Aug 2024	Alfred Reich	Near repunit
1053	106784 − 8387	6784	Aug 2024	Alfred Reich
1054	4252580 + 424	6782	May 2026	Alfred Reich	Dual Williams     new
1055	1373169 − 1363169	6772	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
1056	7002379 − 2379700	6769	Jul 2023	Florian Piesker	Leyland minus-form
1057	5702456 + 569	6769	May 2026	Alfred Reich	Dual Williams     new
1058	(8878 • 106763 − 1) / 3	6767	Dec 2022	Florian Piesker
1059	18952064 − 20641895/	6765	Jul 2023	Florian Piesker	Leyland minus-form
1060	(68707 + 1) / 39913890895403104540916291	6750	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
1061	1023359 − 3359102	6747	Jul 2023	Florian Piesker	Leyland minus-form
1062	(3112707 + 1) / 312	6746	Jun 2022	Florian Piesker	Generalized Wagstaff
1063	87446 + 7	6725	Feb 2026	Alfred Reich	Dual Williams
1064	(16138 • 106711 − 1) / 9	6715	Dec 2022	Florian Piesker
1065	4442530 + 443	6698	May 2026	Alfred Reich	Dual Williams     new
1066	254 • 412 + 254 − 1	6698	May 2026	Alfred Reich	Dual Williams     new
1067	8852268 + 884	6684	May 2026	Alfred Reich	Dual Williams     new
1068	11642179 − 21791164	6681	Jul 2023	Florian Piesker	Leyland minus-form
1069	5702424 + 569	6681	May 2026	Alfred Reich	Dual Williams     new
1070	4302536 + 429	6679	May 2026	Alfred Reich	Dual Williams     new
1071	(414138 + 40) / 4579	6671	Nov 2024	Alfred Reich	Dual Williams cofactor
1072	(3602609 − 1) / 359	6667	Jun 2022	Florian Piesker	Generalized repunit
1073	224959 + 21	6658	Mar 2026	Alfred Reich	Dual Williams
1074	3662595 + 365	6653	Mar 2026	Alfred Reich	Dual Williams
1075	7652306 − 2306765	6650	Jul 2023	Florian Piesker	Leyland minus-form
1076	10192208 − 22081019	6643	Jul 2023	Florian Piesker	Leyland minus-form
1077	7652302 + 764	6639	May 2026	Alfred Reich	Dual Williams     new
1078	313904 − 139043	6634	Jul 2023	Florian Piesker	Leyland minus-form
1079	18392032 − 20321839	6634	Jul 2023	Florian Piesker	Leyland minus-form
1080	3752576 − 2576375	6631	Jul 2023	Florian Piesker	Leyland minus-form
1081	(963343 − 1) / 95	6625	Jun 2022	Florian Piesker	Generalized repunit
1082	8232271 + 822	6621	May 2026	Alfred Reich	Dual Williams     new
1083	3002671 + 299	6617	Mar 2026	Alfred Reich	Dual Williams
1084	2852692 + 284	6609	Mar 2026	Alfred Reich	Dual Williams
1085	(2263! − 1) / 73175686297086403	6595	Feb 2026	Anonymous	Factorial minus cofactor
1086	414088 − 408841	6594	Jul 2023	Florian Piesker	Leyland minus-form
1087	3582574 + 357	6574	May 2026	Alfred Reich	Dual Williams     new
1088	7112302 − 2302711	6566	Jul 2023	Florian Piesker	Leyland minus-form
1089	1043251 − 3251104	6558	Jul 2023	Florian Piesker	Leyland minus-form
1090	14682067 − 20671468	6546	Jul 2023	Florian Piesker	Leyland minus-form
1091	3732542 + 372	6538	May 2026	Alfred Reich	Dual Williams     new
1092	7492270 − 2270749	6526	Jul 2023	Florian Piesker	Leyland minus-form
1093	9742181 − 2181974	6519	Jul 2023	Florian Piesker	Leyland minus-form
1094	1423025 + 141	6511	Feb 2026	Alfred Reich	Dual Williams
1095	(106504 − 1) / 9 − 101979	6504	May 2025	Tengfei Wang	Near repunit
1096	126008 + 11	6484	Feb 2026	Alfred Reich	Dual Williams
1097	1053207 + 104	6482	Feb 2026	Alfred Reich	Dual Williams
1098	8482208 + 847	6466	May 2026	Alfred Reich	Dual Williams     new
1099	1762879 − 1752879	6465	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
1100	(24591907 − 1) / 2458	6463	Jun 2023	Tom Wu	Generalized repunit
1101	5492358 + 548	6460	May 2026	Alfred Reich	Dual Williams     new
1102	1502964 + 149	6450	Feb 2026	Alfred Reich	Dual Williams
1103	15152026 − 20261515	6444	Jul 2023	Florian Piesker	Leyland minus-form
1104	(28 • 106441 + 521) / 9	6442	Jan 2023	Florian Piesker
1105	5102377 + 509	6436	May 2026	Alfred Reich	Dual Williams     new
1106	1223083 − 116166	6433	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
1107	7832220 + 782	6425	May 2026	Alfred Reich	Dual Williams     new
1108	1482949 − 2949148	6401	Jul 2023	Florian Piesker	Leyland minus-form
1109	2552653 + 254	6385	Mar 2026	Alfred Reich	Dual Williams
1110	7342222 + 733	6368	May 2026	Alfred Reich	Dual Williams     new
1111	(77577 + 1) / 25503753010544086902592043488124072824	6366	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
1112	6042286 + 603	6358	May 2026	Alfred Reich	Dual Williams     new
1113	(4232417 + 1) / 424	6346	Jun 2022	Florian Piesker	Generalized Wagstaff
1114	See PrimePages for more informations	6338	Aug 2025	Serge Batalov	Part of CHG-proof of   Lehmer primitive part
1115	106333 + 15501	6334	Aug 2024	Alfred Reich
1116	See complete expression	6333	Jul 2024	Alfred Reich	Generalized repunit cofactor
1117	106332 + 9757	6333	Aug 2024	Alfred Reich
1118	(2272687 − 1) / 226	6329	May 2023	Anonymous	Generalized repunit
1119	3522484 + 351	6326	May 2026	Alfred Reich	Dual Williams     new
1120	240 • 525 + (240 − 1)	6322	May 2026	Alfred Reich	Dual Williams     new
1121	(49 • 221007 − 1) / 2064228473	6317	Jul 2024	Alfred Reich	Riesel cofactor
1122	(313241 − 213241) / 8818507	6311	Jun 2026	Jiahao He	Generalized Mersenne cofactor     new
1123	6202258 + 619	6306	May 2026	Alfred Reich	Dual Williams     new
1124	4942334 + 493	6288	May 2026	Alfred Reich	Dual Williams     new
1125	1332960 + 132	6287	Mar 2026	Alfred Reich	Dual Williams
1126	503699 − 369950	6285	Jul 2023	Florian Piesker	Leyland minus-form
1127	2052718 + 204	6284	Mar 2026	Alfred Reich	Dual Williams
1128	(1372939 − 1) / 136	6278	Jun 2023	Tom Wu	Generalized repunit
1129	1882750 + 187	6254	Mar 2026	Alfred Reich	Dual Williams
1130	(29811800 − 602981) / 173	6252	Feb 2023	Youcef Lemsafer
1131	M(20963) / 81379832959403149463770156281732303005429401341649326070070825294890913	6240	Jul 2025	Florian Baur	Mersenne cofactor
1132	2382618 + 237	6222	Mar 2026	Alfred Reich	Dual Williams
1133	5314411086 + 531440	6218	Mar 2026	Alfred Reich	Dual Williams
1134	1582828 + 157	6218	Mar 2026	Alfred Reich	Dual Williams
1135	2152662 + 214	6209	Mar 2026	Alfred Reich	Dual Williams
1136	6212218 + 620	6196	May 2026	Alfred Reich	Dual Williams     new
1137	693368 + 68	6194	Mar 2026	Alfred Reich	Dual Williams
1138	2942509 − 2509294	6194	Jul 2023	Florian Piesker	Leyland minus-form
1139	9882064 + 987	6182	May 2026	Alfred Reich	Dual Williams     new
1140	20 • 264366 + 473	6180	Dec 2022	Florian Piesker
1141	(106177 − 1) / 9 − 102921	6177	Jun 2026	Jiahao He	Near repunit     new
1142	3492424 − 2424349	6164	Jul 2023	Florian Piesker	Leyland minus-form
1143	5662236 + 565	6156	May 2026	Alfred Reich	Dual Williams     new
1144	3892376 + 388	6154	May 2026	Alfred Reich	Dual Williams     new
1145	6492188 + 648	6154	May 2026	Alfred Reich	Dual Williams     new
1146	7762128 + 775	6150	May 2026	Alfred Reich	Dual Williams     new
1147	2602546 + 259	6149	Mar 2026	Alfred Reich	Dual Williams
1148	9212073 + 920	6145	May 2026	Alfred Reich	Dual Williams     new
1149	(123 • 220466 − 1) / 3502570762954150661	6145	Sep 2024	Anonymous	Riesel cofactor
1150	(3 • 220447 − 1) / 203923863859	6145	Sep 2024	Anonymous	Riesel cofactor
1151	(167 • 220440 − 1) / 566444958433	6144	Sep 2024	Anonymous	Riesel cofactor
1152	(242 • 284241 − 4679) / 9	6139	Jun 2022	Florian Piesker
1153	25 • 363934 − 901	6124	Jun 2022	Florian Piesker
1154	1782720 + 177	6122	Mar 2026	Alfred Reich	Dual Williams
1155	3892360 − 2360389	6113	Jul 2023	Florian Piesker	Leyland minus-form
1156	(673347 − 1) / 66	6111	Jun 2023	Tom Wu	Generalized repunit
1157	(4 • 363926 + 941) / 35	6110	Dec 2022	Florian Piesker
1158	6012198 + 600	6108	May 2026	Alfred Reich	Dual Williams     new
1159	(1762719 − 1) / 175	6104	Feb 2026	Alfred Reich	Generalized repunit
1160	3432558 + 242	6103	Feb 2026	Alfred Reich	Dual Williams
1161	(743257 − 1) / 73	6087	Sep 2025	Tom Wu	Generalized repunit
1162	4302311 + 429	6086	May 2026	Alfred Reich	Dual Williams     new
1163	(220219 + 3) / 262297	6082	Jul 2026	Jiahao He	new
1164	(5152243 − 1) / 514	6080	Jun 2022	Florian Piesker	Generalized repunit
1165	(16306 • 106068 − 7) / 9	6072	Jul 2022	Florian Piesker
1166	5882192 + 587	6071	May 2026	Alfred Reich	Dual Williams     new
1167	(2842473 − 1) / 283	6065	Jun 2022	Florian Piesker	Generalized repunit
1168	(6772143 − 1) / 676	6064	Sep 2025	Tom Wu	Generalized repunit
1169	(2392549 − 1) / 238	6061	Sep 2025	Tom Wu	Generalized repunit
1170	2632504 + 262	6060	Feb 2026	Alfred Reich	Dual Williams
1171	4282300 + 427	6053	May 2026	Alfred Reich	Dual Williams     new
1172	(1802683 − 1) / 179	6049	Sep 2025	Tom Wu	Generalized repunit
1173	(1342843 − 1) / 133	6046	Sep 2024	Alfred Reich	Generalized repunit
1174	106043 − 15119	6043	Aug 2024	Alfred Reich
1175	106042 + 8167	6043	Aug 2024	Alfred Reich
1176	7052121 + 704	6042	May 2026	Alfred Reich	Dual Williams     new
1177	2542510 + 253	6037	Feb 2026	Alfred Reich	Dual Williams
1178	(67793 − 1) / 52650742795870502208021425088290165	6030	Oct 2024	Jiahao He	Generalized repunit cofactor
1179	1992622 − 2622199	6028	Jul 2023	Florian Piesker	Leyland minus-form
1180	219999 + 5127869884059	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1181	219999 + 5127869884055	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1182	219999 + 368935649081	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1183	219999 + 368935649079	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1184	219999 + 368935649075	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1185	219999 + 168863243	6021	Jul 2023	Oliver Kruse	Part of smallest 20000-bit prime twin
1186	219999 + 168863241	6021	Jul 2023	Oliver Kruse	Part of smallest 20000-bit prime twin
1187	219999 + 3191	6021	Jul 2023	Oliver Kruse	Smallest 20000-bit prime
1188	20141821 − 1821	6017	May 2026	Jiahao He	Dual Woodall     new
1189	1152918 + 114	6014	Feb 2026	Alfred Reich	Dual Williams
1190	106012 + 313	6013	May 2025	Tengfei Wang
1191	(1732687 − 1) / 172	6012	Aug 2022	Florian Piesker	Generalized repunit
1192	(106008 − 1) / 9 − 10162	6008	May 2025	Tengfei Wang	Near repunit
1193	(111 • 219949 − 1) / 113	6006	Nov 2024	Alfred Reich	Riesel cofactor
1194	2352532 + 234	6004	Feb 2026	Alfred Reich	Dual Williams
1195	(17551853 + 18531755) / 1132708784	6003	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
1196	(115801 + 1) / 806106541271920844262715684835860141812	6003	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
1197	(106009 − 845) / 124737605	6001	Feb 2023	Anonymous
1198	See complete expression	6001	Apr 2025	Anonymous
1199	See complete expression	6000	Apr 2025	Anonymous
1200	(150751438 + 1) / 227255626	6000	Apr 2024	Anonymous
1201	(77100 − 39) / 2	6000	Oct 2023	Anonymous
1202	(130362187 + 1) / (13036729 + 1)	6000	Dec 2024	Alfred Reich
1203	(197541399 + 1) / 6743507535	6000	Jun 2026	Jiahao He	Generalized Wagstaff cofactor     new
1204	(77111 + 841) / 5610416576	6000	Feb 2024	Edwin Hall
1205	See complete expression	6000	Oct 2024	Alfred Reich	Generalized repunit cofactor
1206	See complete expression	6000	Feb 2024	Anonymous
1207	473588 + 66	6000	Nov 2024	Alfred Reich
1208	(77 • 219969 − 1) / 50829469734861	6000	Jun 2022	Anonymous	Riesel cofactor
1209	(61 • 106015 + 11) / 263147076898997931	6000	Dec 2022	Florian Piesker
1210	See complete expression	6000	Feb 2024	Edwin Hall	Generalized repunit cofactor
1211	See complete expression	6000	Feb 2024	Edwin Hall
1212	(116651478 + 1) / 402365572282	6000	Nov 2024	Alfred Reich
1213	(2082! + 78913586303) / 50631443	6000	Mar 2024	Edwin Hall
1214	(2086! + 86258 − 1) / 971991237346582294359	6000	Jan 2026	Alfred Reich
1215	(58482 + 264241) / 51	6000	Dec 2022	Frank Doornink
1216	(77115 + 751) / 48265657103978	6000	Feb 2024	Edwin Hall
1217	(219938 − 7) / 669	6000	Jul 2024	Alfred Reich
1218	Φ(23,−1822764)	6000	Jun 2026	Jiahao He	Unique     new
1219	(106050 − 518) / 837059097353974734781606790587421200913200733463406	6000	Feb 2024	Edwin Hall
1220	(77119 + 450) / 156413412894410789	6000	Feb 2024	Edwin Hall
1221	105999 + 30913	6000	Jan 2026	Oliver Kruse	2nd smallest 6000 digit prime