Last updated: 09 August 2026

Proven primes with at least 6000 digits ( via CM ) Total: 1223
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
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(2100982676)	51053	Aug 2026	Greg Childers	Partitions     new
12	p(2100412931)	51046	Jul 2026	Greg Childers	Partitions     new
13	1050000 + 65859	50001	May 2022	Andreas Enge	Smallest 50001-digit prime
14	M(157457) / 1651348995090599153173927	47376	Jan 2026	Oliver Kruse	Mersenne cofactor
15	M(151013) / 61157791169561859593299975690769	45428	Sep 2025	Paul Underwood	Mersenne cofactor
16	2148227 + 60443	44621	Dec 2024	Maia Karpovich	Dual Sierpinski Problem
17	Fib(208519) / 140875424305897	43564	Jul 2026	Greg Childers	Fibonacci cofactor     new
18	(2141079 + 1) / 3	42469	Oct 2025	Paul Underwood	Wagstaff
19	Lucas(202667)	42355	Nov 2023	Greg Childers	Lucas
20	See PrimePages for more informations	42229	Oct 2025	Serge Batalov; Ryan Propper	Part of BLS-proof of   Lehmer number
21	2139964 + 35461	42134	Oct 2024	Maia Karpovich	Dual Sierpinski Problem
22	Fib(201107)	42029	Sep 2023	Maia Karpovich	Fibonacci number
23	− E(12146) / 1226039954339	41943	Aug 2025	Serge Batalov	Euler irregular
24	(2138937 + 1) / 3	41824	Oct 2023	Andreas Enge; Paul Underwood	Wagstaff
25	M(136883) / 536581361	41198	Aug 2025	Paul Underwood	Mersenne cofactor
26	E(11848) / 7910215	40792	Aug 2022	David Broadhurst; Paul Underwood	Euler irregular
27	Lucas(193201)	40377	Dec 2023	Greg Childers	Lucas
28	1040000 + 14253	40001	Jun 2022	Andreas Enge	Smallest 40001-digit prime
29	M(132929) / 2054179601105776846215055956722560390485432904126229271473	39959	Jan 2026	Oliver Kruse	Mersenne cofactor
30	M(130439) / 260879	39261	Feb 2023	Alan Mock	Mersenne cofactor
31	Τ(474176)	38404	Jun 2022	Andreas Enge	Ramanujan tau function
32	Lucas(183089)	38264	Dec 2023	Greg Childers	Lucas
33	(2127031 + 1) / 3	38240	Jan 2023	Paul Underwood	Wagstaff
34	(34 • 1037957 − 61) / 9	37958	Dec 2025	Jason Parker-Burlingham	Quasi-repdigit
35	Fib(179689) / 359377	37547	May 2026	Greg Childers	Fibonacci cofactor
36	378296 + 782963	37357	Jul 2022	Greg Childers	Leyland plus-form
37	Φ(13875,124750) / 14963669110546259757220673451001	36661	Sep 2024	Tom Wu	Part of BLS primality Proof of   (12475027751 − 1) / 124749
38	6320018 + 2001863	36020	Jan 2023	Greg Childers	Leyland plus-form
39	2119087 − 1190872	35849	Mar 2024	Tengfei Wang	Leyland minus-form
40	(2117239 + 1) / 3	35292	Jul 2022	Ryan S. Propper	Wagstaff
41	p(1000007396)	35219	Aug 2022	Greg Childers	Partitions
42	1864754598 • Bern(12306) / 7988337402668760859	35160	Jul 2025	Serge Batalov	Irregular
43	See complete expression	35085	Nov 2025	Maia Karpovich	3rd prime p , where tan(p) > p
44	239487993 − 239477993	35003	May 2026	Anonymous	Generalized Mersenne
45	9 • 1034838 + 7	34839	Aug 2023	Markus Tervooren
46	E(10168) / 1097239206089665	34323	Oct 2023	Frank Doornink	Euler irregular
47	Φ(717, − 1072)	34273	Aug 2025	Serge Batalov	Unique
48	Lucas(159521)	33338	Nov 2023	Greg Childers	Lucas
49	Φ(12345,92365) / 382141463174433542855941	32630	Jun 2024	Tom Wu	Part of BLS primality Proof of   (9236524691 − 1) / 92364
50	(1825667 − 1) / 17	32218	Jun 2022	Paul Underwood	Generalized repunit
51	Φ(34051, − 10)	32033	Aug 2025	Serge Batalov	Unique
52	2105789 + 48527	31846	Oct 2023	Maia Karpovich	Dual Sierpinski Problem
53	Φ(23023, − 100)	31681	Aug 2025	Serge Batalov	Unique
54	M(105269) /   151888973648615898448098254186003467843831193426357780775029327271885867309638591059561	31603	Sep 2024	Serge Batalov	Mersenne cofactor
55	Φ(4613, − 108)	31585	Aug 2025	Serge Batalov	Unique
56	Φ(10295, − 104)	31360	Aug 2025	Serge Batalov	Unique
57	2104095 + 7013	31336	Oct 2023	Maia Karpovich	Dual Sierpinski Problem
58	2103766 + 17659	31237	Apr 2023	Maia Karpovich	Dual Sierpinski Problem
59	− E(9266) / 2129452307358569777	30900	May 2023	Frank Doornink	Euler irregular
60	Φ(11589, − 104)	30897	Oct 2022	Serge Batalov	Unique
61	6402 ∑ (n-th prime)n  n=1	30763	Jan 2026	Oliver Kruse	Sum (n-th prime)n
62	Lucas(145703) / 179214691	30442	Nov 2023	Greg Childers	Lucas cofactor
63	Lucas(145193) / 38621339	30336	Nov 2023	Greg Childers	Lucas cofactor
64	(7116384 + 1) / 2	30331	Apr 2023	Alan Mock	Generalized half-Fermat
65	17013451 − 13451170	30002	Mar 2024	Tengfei Wang	Leyland minus-form
66	Φ(36547, − 10)	29832	Jun 2022	Serge Batalov	Unique
67	299069 + 990692	29823	Jun 2022	Greg Childers	Leyland plus-form
68	Φ(18756,58425)	29744	Sep 2025	Tom Wu	Part of BLS primality Proof of   (5842518757 − 1) / 58424
69	See PrimePages for more informations	29210	Oct 2025	Serge Batalov; Ryan S. Propper	Lehmer primitive part prime
70	1029028 − 2 • 108312 − 1	29028	Jul 2025	Tengfei Wang	Near repdigit
71	Fib(138449) / 722703781	28925	Mar 2026	Greg Childers	Fibonacci cofactor
72	Φ(21960,102936) / 5017642938047862206894175676419044635657201	28830	Jul 2024	Tom Wu	Part of BLS primality Proof of   (10293621961 − 1) / 102935
73	Lucas(137483) / 297756567358709	28718	May 2026	Serge Batalov	Lucas cofactor
74	1922182 − 2218219	28366	May 2025	Tengfei Wang	Leyland minus-form
75	(1111111102 • 1028243 − 1) / 9	28252	Apr 2024	Tengfei Wang
76	Fib(135221) / 240836845308529927941202189034491397	28224	Mar 2026	Greg Childers	Fibonacci cofactor
77	Φ(8553,74968) / 12199774257779118942571063	27762	Sep 2025	Tom Wu	Part of BLS primality Proof of   (7496817107 − 1) / 74967
78	Lucas(132647) / 13578619295354715892634059	27697	May 2026	Serge Batalov	Lucas cofactor
79	Fib(132409) / 2882138154561602271737	27651	Aug 2024	Serge Batalov	Fibonacci cofactor
80	30111061 + 300	27416	Feb 2026	Alfred Reich	Dual Williams
81	70877087 + 1616	27289	Jun 2025	Tengfei Wang	Lifchitz plus-form
82	9 • 1026725 + 7	26726	Aug 2023	Markus Tervooren
83	See PrimePages for more informations	26668	Sep 2025	Serge Batalov; Ryan Propper	Part of CHG-proof of   Lehmer number
84	Τ(1572206)	26643	Jul 2022	Greg Childers	Ramanujan tau function
85	288071 + 88071	26513	Jun 2025	Tengfei Wang	Dual Cullen prime
86	M(87691) / 806957040167570408395443233	26371	Nov 2022	Serge Batalov	Mersenne cofactor
87	1026045 − 3	26045	Jan 2024	U.N.Owen	Near repdigit
88	(11 • 1026000 − 17) / 3	26001	Aug 2022	Florian Piesker
89	M(86371) / 41681512921035887	25984	Jun 2022	Ryan S. Propper	Mersenne cofactor
90	− E(7894) / 19	25790	May 2023	Frank Doornink	Euler irregular
91	Lucas(122869) / 50429766416459430193411	25656	Apr 2024	Serge Batalov	Lucas cofactor
92	primU(183537)	25571	Oct 2024	Serge Batalov	Fibonacci primitive part
93	2119304 − 1930421	25525	Feb 2024	Tengfei Wang	Leyland minus-form
94	7391 ( ∑ n! ) / 99   n=1	25385	Jan 2026	Oliver Kruse	Sum factorial cofactor
95	Fib(120937) / 3311205867595743073258613	25250	Apr 2024	Serge Batalov	Fibonacci cofactor
96	Fib(120847) / 801583206855072663577903717598265772863698229236258027166465876287487690977	25181	May 2026	Serge Batalov	Fibonacci cofactor
97	20927579 + 75792092	25167	Oct 2023	Anonymous	Leyland plus-form
98	51226753 + 67535122	25050	May 2022	Greg Childers	Leyland plus-form
99	primV(194181)	24908	Oct 2024	Serge Batalov	Lucas primitive part
100	Lucas(119162) / 3	24903	Oct 2024	Serge Batalov	Lucas cofactor
101	− E(7634) / 1559	24828	May 2023	Frank Doornink	Euler irregular
102	primU(118319)	24553	Oct 2024	Serge Batalov	Fibonacci primitive part
103	Fib(117167) / 17658707237	24476	Apr 2024	Serge Batalov	Fibonacci cofactor
104	Lucas(116593) / 120790349	24359	Nov 2023	Greg Childers	Lucas cofactor
105	(1520593 + 1) / 1317968	24214	Jul 2026	Michael Porter	Generalized Wagstaff cofactor     new
106	280307 − 803072	24175	Jan 2024	Tengfei Wang	Leyland minus-form
107	primV(214470)	23895	Oct 2024	Serge Batalov	Lucas primitive part
108	primU(115373)	23875	Oct 2024	Serge Batalov	Fibonacci primitive part
109	primU(135421)	23725	Oct 2024	Serge Batalov	Fibonacci primitive part
110	primV(143234)	23654	Oct 2024	Serge Batalov	Lucas primitive part
111	M(78737) / 1590296767505866614563328548192658003295567890593	23654	May 2022	Ryan S. Propper	Mersenne cofactor
112	primU(164185)	23524	Oct 2024	Serge Batalov	Fibonacci primitive part
113	20097104 − 71042009	23465	Jun 2025	Tengfei Wang	Leyland minus-form
114	See complete expression	23429	Jun 2022	Andreas Enge
115	20127043 − 70432012	23268	May 2025	Tengfei Wang	Leyland minus-form
116	primU(166737)	23231	Oct 2024	Serge Batalov	Fibonacci primitive part
117	See PrimePages for more informations	23130	Sep 2025	Serge Batalov; Ryan Propper	Part of BLS-proof of   Lehmer number
118	primA(275285)	23012	Mar 2024	Serge Batalov	Lucas Aurifeuillian primitive part
119	primV(110723)	22997	Oct 2024	Serge Batalov	Lucas primitive part
120	(1022973 + 53) / 9	22973	Mar 2024	U.N.Owen	Near repunit
121	(34 • 1022925 − 61) / 9	22926	Jul 2025	Jason Parker-Burlingham
122	primV(180906)	22905	Sep 2024	Serge Batalov	Lucas primitive part
123	1022822 − 1063 − 1	22822	Mar 2026	Serge Batalov	Near Repdigit; Prime / Emirp
124	923840 − 238409	22750	Jan 2024	Tengfei Wang	Leyland minus-form
125	(32569 • 2615921 + 21) / 5	22532	Mar 2023	Florian Piesker
126	Fib(106663) / 35892566541651557	22275	Apr 2024	Serge Batalov	Fibonacci cofactor
127	348054 • Bern(8286) / 1570865077944473903275073668721	22234	Dec 2022	Serge Batalov	Irregular
128	p(398256632)	22223	Apr 2022	Serge Batalov	Partitions
129	Fib(105509) / 144118801533126010445795676378394340544227572822879081	21997	Jul 2022	Serge Batalov	Fibonacci cofactor
130	9911006 + 1100699	21964	Sep 2024	Oliver Kruse	Leyland plus-form
131	1021873 − 3	21873	Aug 2022	Markus Tervooren	Near repdigit
132	3314398 − 1439833	21864	May 2025	Tengfei Wang	Leyland minus-form
133	primB(282035)	21758	Oct 2023	Serge Batalov	Lucas Aurifeuillian primitive part
134	primA(276335)	21736	Mar 2024	Serge Batalov	Lucas Aurifeuillian primitive part
135	1021717 + 7	21718	Apr 2024	U.N.Owen
136	primV(154281)	21495	Nov 2023	Greg Childers	Lucas primitive part
137	(3131 • 271216 − 11) / 15	21441	Jul 2022	Florian Piesker
138	primA(296695)	21137	Oct 2023	Serge Batalov	Lucas Aurifeuillian primitive part
139	primA(413205)	21127	Sep 2023	Serge Batalov	Lucas Aurifeuillian primitive part
140	269999 + 35583	21072	Aug 2023	Frank Doornink	Smallest 70000-bit prime
141	57612705200181 • 269801 + 5	21026	Jan 2026	Serge Batalov	Part of a prime triplet
142	p(355646102)	21000	Jul 2022	Serge Batalov	Partitions
143	(1120161 − 1) / 10	20995	Jun 2022	Florian Piesker	Generalized repunit
144	14 • 1916415 + 381	20992	Jun 2022	Florian Piesker
145	Lucas(100417) /   7130429037791016075118087990532064354948544338847967474370719436805470448849	20911	Apr 2024	Serge Batalov	Lucas cofactor
146	p(350199893)	20838	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
147	1299820 + 9820129	20726	Sep 2024	Oliver Kruse	Leyland plus-form
148	primU(102689)	20715	Sep 2024	Serge Batalov	Fibonacci primitive part
149	primU(105821)	20598	Sep 2022	Serge Batalov	Fibonacci primitive part
150	((((((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
151	(343063 − 1) / 2	20546	Nov 2023	Anonymous	Generalized repunit
152	primU(172179)	20540	Sep 2022	Serge Batalov	Fibonacci primitive part
153	Lucas(98081) / 84490439013599359615894385176643888515853963025217237339	20442	Apr 2024	Serge Batalov	Lucas cofactor
154	See PrimePages for more informations	20401	Oct 2025	Serge Batalov; Ryan Propper	Part of CHG-proof of   Lehmer number
155	Τ(412296)	20367	Jun 2022	Greg Childers	Ramanujan tau function
156	19986137 − 61371998	20256	Feb 2024	Tengfei Wang	Leyland minus-form
157	(3567937 + 1) / 357	20249	Jul 2022	Florian Piesker	Generalized Wagstaff
158	4404139952163 • 267002 − 5	20183	Jul 2024	Serge Batalov	Part of a prime triplet
159	primV(112028)	20063	May 2022	Serge Batalov	Lucas primitive part
160	53705370 + 44114411	20030	May 2024	Oliver Kruse	Lifchitz plus-form
161	26685841 + 58412668	20013	Dec 2022	Greg Childers	Leyland plus-form
162	(1020004 − 1) / 9 − 10228	20004	May 2025	Tengfei Wang	Near repunit
163	1020000 + 56149	20001	Nov 2024	U.N.Owen	Smallest 20001-digit prime
164	p(322610098)	20000	Jun 2022	Serge Batalov	Partitions
165	266436 + 18181	20000	Jul 2022	Florian Piesker
166	1019999 + 1514722611	20000	Jun 2022	Paul Underwood	Part of the smallest   20000-digit twin prime
167	1019999 + 1514722609	20000	Jun 2022	Paul Underwood	Part of the smallest   20000-digit twin prime
168	1019999 + 110949	20000	Jun 2022	Paul Underwood	Smallest 20000-digit prime
169	primV(151521)	19863	Jun 2022	Serge Batalov	Lucas primitive part
170	(9006659 + 1) / 901	19670	Aug 2026	Michael Porter	Generalized Wagstaff     new
171	(224664493 + 1) / 22467	19548	Jun 2026	Michael Porter	Generalized Wagstaff     new
172	264773 − 647732	19499	Jan 2024	Tengfei Wang	Leyland minus-form
173	39585411 + 54113958	19466	May 2022	Greg Childers	Leyland plus-form
174	(5824! − 1) / 1078163	19396	Apr 2026	Anonymous	Factorial minus cofactor
175	M(66497) / M (2293) / 7140061530624311	19312	Sep 2025	Alex Kruppa	Mersenne cofactor
176	M(64381) / 18252318785612645711774019109285438988204922542528174996118699181907547497	19308	Apr 2024	Serge Batalov	Mersenne cofactor
177	Lucas(91943) / 12774901180031755171852992299	19187	Jul 2022	Serge Batalov	Lucas cofactor
178	(V(428,1,8019) − 1) / (V(428,1,729) − 1)	19184	Jun 2022	Serge Batalov	Lehmer primitive part
179	Lucas(91873) / 119273493071598409455551351	19175	Jul 2022	Serge Batalov	Lucas cofactor
180	(2 • 1019153 + 691) / 9	19153	Jun 2022	Greg Childers
181	primU(137439)	19148	Jun 2022	Serge Batalov	Fibonacci primitive part
182	⌊(π • 1019176)⌋ % (1019128)	19128	Feb 2023	Oliver Kruse	String in Pi
183	primU(107779)	18980	May 2022	Serge Batalov	Fibonacci primitive part
184	( U(162,1,8581) + U(162,1,8580) ) / ( U(162,1,66) + U(162,1,65) )	18814	Jun 2022	Serge Batalov	Lehmer primitive part
185	See complete expression	18718	Jun 2022	Andreas Enge
186	(82 • 1018592 − 1) / 9	18593	Aug 2023	Markus Tervooren	Near repunit
187	( U(859,1,6385) − U(859,1,6384) ) / ( U(859,1,57) − U(859,1,56) )	18567	Jun 2022	Serge Batalov	Lehmer primitive part
188	(505 • 1018470 − 1) / 9	18472	Jun 2022	Florian Piesker
189	primB(220895)	18465	Jun 2022	Serge Batalov	Lucas Aurifeuillian primitive part
190	1748192 + 1218192	18355	Jan 2023	Youcef Lemsafer
191	primV(153279)	18283	May 2022	Serge Batalov	Lucas primitive part
192	See complete expression	18192	Aug 2025	Alex Kruppa	Mersenne cofactor of M(123435)
193	See complete expression	18190	Jul 2025	Alex Kruppa	Cyclotomic polynomial cofactor   of M(242730)
194	(721520 + 41) / 6	18186	Dec 2022	Florian Piesker	Near repdigit in base 7
195	(10504 • 1018178 − 1) / 9	18182	Apr 2023	Florian Piesker
196	(34 • 1018155 − 7) / 9	18156	Jan 2026	Anonymous
197	259999 + 26453	18062	Oct 2023	Frank Doornink	Smallest 60000-bit prime
198	259395 − 593952	17880	May 2025	Tengfei Wang	Leyland minus-form
199	primB(235015)	17856	May 2022	Serge Batalov	Lucas Aurifeuillian primitive part
200	(1737 • 525415 − 1) / 4	17767	Oct 2022	Anonymous
201	1017753 + 3	17754	Mar 2024	U.N.Owen
202	(3407001 + 1) / 341	17721	Jul 2022	Florian Piesker	Generalized Wagstaff
203	primV(148197)	17696	May 2022	Serge Batalov	Lucas primitive part
204	((236656 + 1)2 + 3) / ((27332 + 1)2 + 3) / 151	17653	Mar 2025	Alex Kruppa
205	918494 − 184949	17648	Jan 2024	Tengfei Wang	Leyland minus-form
206	(336913 − 1) / 2	17612	Dec 2022	Florian Piesker	Generalized repunit
207	( V(447,1,6723) + 1 ) / ( V(447,1,81) + 1 )	17604	Jun 2022	Serge Batalov	Lehmer primitive part
208	(79 • 739339 − 1) / 6	17403	Jul 2022	Florian Piesker
209	1017343 + 777	17344	Dec 2023	U.N.Owen
210	primV(169830)	17335	May 2022	Serge Batalov	Lucas primitive part
211	257285 + 572852	17245	Jun 2022	Greg Childers	Leyland plus-form
212	720366 − 203667	17212	Jan 2024	Tengfei Wang	Leyland minus-form
213	(257146 + 228573 + 1) / 1057378152607	17191	Oct 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(171438)
214	(3816659 + 1) / 382	17184	Jul 2022	Florian Piesker	Generalized Wagstaff
215	( V(1578,1,5589) + 1 ) / ( V(1578,1,243) + 1 )	17098	Jun 2022	Serge Batalov	Lehmer primitive part
216	M(19) • M(60287) / M(3173) / M(361)	17091	Sep 2024	Alex Kruppa	Mersenne cofactor of M(60287)
217	(176874003 − 1) / 17686	17000	Mar 2024	Edwin Hall	Generalized repunit
218	primV(101510)	16970	May 2022	Serge Batalov	Lucas primitive part
219	(1016922 − 91) / 9	16922	May 2025	Tengfei Wang	Near repunit
220	(17 • 1016918 + 7) / 3	16919	Aug 2023	Markus Tervooren
221	(3186733 + 1) / 319	16847	Jul 2022	Florian Piesker	Generalized Wagstaff
222	See complete expression	16734	Jun 2022	Andreas Enge
223	See complete expression	16716	Sep 2024	Alex Kruppa	Mersenne cofactor of M(69625)
224	(17 • 1016628 + 7) / 3	16629	Aug 2023	Markus Tervooren
225	(V(1240,1,5589) − 1) / (V(1240,1,243) − 1)	16538	Jun 2022	Serge Batalov	Lehmer primitive part
226	primA(201485)	16535	May 2022	Serge Batalov	Lucas Aurifeuillian primitive part
227	( U(800,1,5725) − U(800,1,5724) ) / ( U(800,1,54) − U(800,1,53) )	16464	Jun 2022	Serge Batalov	Lehmer primitive part
228	708853 − 885370	16335	Jun 2025	Tengfei Wang	Leyland minus-form
229	17484430616589 • 254201 + 5	16330	Jun 2024	Serge Batalov	Part of a CPAP-3; d = 6
230	17484430616589 • 254201 − 7	16330	Jun 2024	Serge Batalov	Part of a CPAP-3; d = 6
231	(4984! + 1) / 12823	16263	Mar 2026	Anonymous	Factorial plus cofactor
232	(1427537 + 1) / 143	16220	Jul 2022	Florian Piesker	Generalized Wagstaff
233	primB(225785)	16176	May 2022	Serge Batalov	Lucas Aurifeuillian primitive part
234	(1214951 − 1) / 11	16134	Aug 2022	Florian Piesker	Generalized repunit
235	(11023 • 1016097 − 1) / 3	16101	May 2023	Florian Piesker
236	1016076 + 67	16077	Nov 2023	U.N.Owen
237	(25453 • 1015998 − 1) / 9	16002	Apr 2023	Florian Piesker
238	(4695987 − 1) / 468	15990	Jul 2022	Florian Piesker	Generalized repunit
239	(85 • 252665 − 1) / 578045658449	15844	Jun 2026	Michael Porter	new
240	19194818 − 48181919	15818	May 2025	Tengfei Wang	Leyland minus-form
241	(19 • 620238 + 2501) / 35	15748	Apr 2023	Florian Piesker
242	36574400 + 44003657	15678	Oct 2023	Anonymous	Leyland plus-form
243	See complete expression	15587	Aug 2025	Alex Kruppa
244	See complete expression	15587	Aug 2024	Alex Kruppa	Mersenne cofactor of M(64165)
245	(619889 − 1) / 5	15476	Aug 2022	Florian Piesker	Generalized repunit
246	See complete expression	15450	Apr 2023	Youcef Lemsafer	Generalized repunit cofactor
247	(17 • 1015448 + 7) / 3	15449	Aug 2023	Markus Tervooren
248	(718251 + 1) / 8	15423	Aug 2022	Anonymous	Generalized Wagstaff
249	22484537 + 45372248	15208	Aug 2022	Greg Childers	Leyland plus-form
250	1015103 − 63987	15103	Nov 2023	U.N.Owen
251	26384405 + 44052638	15071	May 2022	Greg Childers	Leyland plus-form
252	249999 + 24783	15052	Jul 2023	Maia Karpovich	Smallest 50000-bit prime
253	14534752 − 47521453	15028	Feb 2024	Florian Piesker	Leyland minus-form
254	39114180 + 41803911	15016	Dec 2022	Greg Childers	Leyland plus-form
255	(31794291 − 42913179) / 8886701589272771624	15010	Apr 2024	Markus Tervooren	Leyland minus-form cofactor
256	(3010159 + 1) / 31	15005	May 2026	Michael Porter	Generalized Wagstaff
257	(14774734 + 47341477) / 53	15003	Apr 2023	Youcef Lemsafer	Leyland plus-form cofactor
258	(210983952048 + 1) / 2	15000	Mar 2024	Edwin Hall	Generalized half-Fermat
259	(41474147 + 2022) / 5435	15000	Mar 2024	Edwin Hall
260	( V(1212,1,4887) + 1) / ( V(1212,1,27) + 1 )	14986	Jun 2022	Serge Batalov	Lehmer primitive part
261	(1506883 + 1) / 151	14976	Jun 2022	Florian Piesker	Generalized Wagstaff
262	1077372 + 7372107	14961	Oct 2023	Ryan S. Propper	Leyland plus-form
263	17164613 + 46131716	14921	Nov 2023	Ryan S. Propper	Leyland plus-form
264	3455876 + 5876345	14913	Nov 2023	Ryan S. Propper	Leyland plus-form
265	11594866 + 48661159	14910	Nov 2023	Anonymous	Leyland plus-form
266	(4616! + 1) / 3774283	14906	Mar 2026	Anonymous	Factorial plus cofactor
267	5128801 + 8015128	14890	Oct 2025	Ryan S. Propper	Leyland plus-form
268	((231 − 1)1597 − 1) / (231 − 2) / 634021777	14885	Jun 2022	Greg Childers
269	3765755 + 5755376	14821	Nov 2023	Anonymous	Leyland plus-form
270	17154558 + 45581715	14742	Nov 2023	Anonymous	Leyland plus-form
271	( V(696,1,5211) + 1 ) / ( V(696,1,27) + 1 )	14737	Jun 2022	Serge Batalov	Lehmer primitive part
272	19454476 + 44761945	14722	Nov 2023	Anonymous	Leyland plus-form
273	3815698 + 5698381	14707	Nov 2023	Anonymous	Leyland plus-form
274	See complete expression	14703	Jun 2022	Greg Childers
275	10874840 + 48401087	14696	Nov 2023	Anonymous	Leyland plus-form
276	33484163 + 41633348	14674	Jan 2024	Ryan S. Propper	Leyland plus-form
277	16374554 + 45541637	14637	Jan 2024	Ryan S. Propper	Leyland plus-form
278	φ(17003,10) / 215414318848365482017888228389199	14500	Sep 2024	Alfred Reich	Cyclotomic polynomial cofactor   of R(17003)
279	27724211 + 42112772	14498	Jan 2024	Ryan S. Propper	Leyland plus-form
280	40224022 + 20252025	14498	Jun 2025	Tengfei Wang	Lifchitz plus-form
281	(117514072048 + 1) / 2	14480	Nov 2024	Alfred Reich	Generalized half-Fermat
282	25804241 + 42412580	14469	Jan 2024	Ryan S. Propper	Leyland plus-form
283	424019 − 324019	14461	Oct 2025	Ryan S. Propper	Generalized Mersenne
284	8164949 + 4949816	14410	Jan 2024	Ryan S. Propper	Leyland plus-form
285	p(158221457)	14404	Jul 2022	Serge Batalov	Partitions
286	19914342 + 43421991	14325	Oct 2023	Ryan S. Propper	Leyland plus-form
287	19164359 + 43591916	14308	Oct 2023	Ryan S. Propper	Leyland plus-form
288	917300 + 730091	14302	Oct 2023	Anonymous	Leyland plus-form
289	See complete expression	14297	Aug 2024	Alex Kruppa	Mersenne cofactor of M(52193)
290	1113674 − 1367411	14241	Jan 2024	Tengfei Wang	Leyland plus-form
291	p(158931035)	14036	May 2026	Serge Batalov	Partitions
292	p(158917403)	14035	May 2026	Serge Batalov	Partitions
293	See complete expression	14035	Aug 2024	Alex Kruppa	Mersenne cofactor of M(93195)
294	p(158898550)	14034	May 2026	Serge Batalov	Partitions
295	p(158788742)	14029	May 2026	Serge Batalov	Partitions
296	p(158635927)	14022	May 2026	Serge Batalov	Partitions
297	p(158569348)	14020	May 2026	Serge Batalov	Partitions
298	38 • (1014032 + 61) / 210606316076673	14020	Apr 2023	Youcef Lemsafer
299	p(158507386)	14017	May 2026	Serge Batalov	Partitions
300	p(158447043)	14014	May 2026	Serge Batalov	Partitions
301	p(158430002)	14013	May 2026	Serge Batalov	Partitions
302	p(158381443)	14011	May 2026	Serge Batalov	Partitions
303	p(158375386)	14011	Jul 2022	Serge Batalov	Partitions
304	p(158295265)	14007	Jul 2022	Serge Batalov	Partitions
305	21544153 + 41532154	13843	May 2022	Paul Leyland	Leyland plus-form
306	686303773648831000 + 68630377364882	13837	Apr 2026	Alfred Reich	Dual Williams
307	1013808 + 32791	13809	Aug 2024	Alfred Reich
308	See complete expression	13786	Aug 2024	Alex Kruppa	Mersenne cofactor of M(58315)
309	11 • (245616 + 1) / 3	13733	Jun 2022	Florian Piesker
310	(5045059 + 1) / 505	13669	Jun 2022	Florian Piesker	Generalized Wagstaff
311	13354364 + 43641335	13640	Jan 2023	Greg Childers	Leyland plus-form
312	26073976 + 39762607	13583	Jan 2023	Greg Childers	Leyland plus-form
313	4995026 + 5026499	13561	Jan 2023	Greg Childers	Leyland plus-form
314	916918 + 691891	13553	Jan 2023	Greg Childers	Leyland plus-form
315	(4233! + 1) / 326022408531457943	13498	Mar 2026	Anonymous	Factorial plus cofactor
316	17274162 + 41621727	13474	Jan 2023	Greg Childers	Leyland plus-form
317	23613992 + 39922361	13466	Jan 2023	Greg Childers	Leyland plus-form
318	29853874 + 38742985	13462	Jan 2023	Greg Childers	Leyland plus-form
319	1036682 + 6682103	13450	Jan 2023	Greg Childers	Leyland plus-form
320	10934414 + 44141093	13413	Jan 2023	Greg Childers	Leyland plus-form
321	(4215101 + 1) / 422	13384	Jun 2022	Florian Piesker	Generalized Wagstaff
322	2295670 + 5670229	13381	Jan 2023	Greg Childers	Leyland plus-form
323	2245685 + 5685224	13362	Jan 2023	Greg Childers	Leyland plus-form
324	Lucas(64063) / 464426465381142115542697818362662865912299	13347	Aug 2024	Serge Batalov	Lucas cofactor
325	See complete expression	13343	Aug 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(180090)
326	p(141528106)	13244	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
327	p(141513546)	13244	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
328	p(141512238)	13244	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
329	1935792 − 5792193	13238	Feb 2023	Youcef Lemsafer	Leyland minus-form
330	p(141255053)	13232	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
331	M(44431) / M(283) / M(157) / 430619564833	13231	Aug 2024	Alex Kruppa	Mersenne cofactor
332	6694682 + 4682669	13229	Jan 2023	Greg Childers	Leyland plus-form
333	p(141150528)	13227	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
334	p(141112026)	13225	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
335	p(141111278)	13225	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
336	See complete expression	13217	Aug 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(133962)
337	p(140859260)	13213	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
338	p(140807155)	13211	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
339	p(140791396)	13210	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
340	p(140760498)	13208	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
341	p(140710320)	13206	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
342	See complete expression	13202	Sep 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(134034)
343	p(140593907)	13201	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
344	p(140560280)	13199	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
345	p(140552343)	13199	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
346	p(140535370)	13198	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
347	p(140533925)	13198	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
348	p(140519816)	13197	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
349	25723867 + 38672572	13188	Jan 2023	Greg Childers	Leyland plus-form
350	19244015 + 40151924	13187	Jan 2023	Greg Childers	Leyland plus-form
351	See complete expression	13186	Nov 2024	Alfred Reich
352	1013172 + 22947	13173	Aug 2024	Alfred Reich
353	1013170 + 2697	13171	Aug 2024	Alfred Reich
354	1013162 + 87729	13163	Aug 2024	Alfred Reich
355	1013161 + 51729	13162	Aug 2024	Alfred Reich
356	1013160 + 11161	13161	Aug 2024	Alfred Reich
357	1013159 + 1807	13160	Aug 2024	Alfred Reich
358	29323789 + 37892932	13138	Jan 2023	Greg Childers	Leyland plus-form
359	34293712 + 37123429	13123	Dec 2022	Anonymous	Leyland plus-form
360	4614926 + 4926461	13122	Dec 2022	Anonymous	Leyland plus-form
361	25803841 + 38412580	13105	Dec 2022	Florian Piesker	Leyland plus-form
362	(243502 + 221751 + 1) / 71426334276062353	13079	Aug 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(130506)
363	See complete expression	13007	Oct 2024	Alfred Reich	Leyland minus-form cofactor
364	1013002 − 8 • 108 − 1	13002	Dec 2023	U.N.Owen	Near repdigit
365	24453836 + 38362445	12998	Dec 2022	Greg Childers	Leyland plus-form
366	21093908 + 39082109	12991	Dec 2022	Greg Childers	Leyland plus-form
367	17783993 + 39931778	12977	Aug 2022	Greg Childers	Leyland plus-form
368	See complete expression	12947	Aug 2024	Alex Kruppa	Mersenne cofactor of M(67235)
369	21073894 + 38942107	12943	Aug 2022	Greg Childers	Leyland plus-form
370	(50233491 − 1) / 35068626	12913	Mar 2023	Youcef Lemsafer	Generalized repunit cofactor
371	14674076 + 40761467	12907	Jul 2022	Greg Childers	Leyland plus-form
372	Sm10(3506) / 7937021247923634 ; See complete expression	12901	Jan 2023	Youcef Lemsafer	Smarandache base 10 cofactor
373	10274278 + 42781027	12884	Jul 2022	Greg Childers	Leyland plus-form
374	1595852 + 5852159	12883	Jul 2022	Greg Childers	Leyland plus-form
375	(242737 + 1) / 3	12865	May 2022	Greg Childers	Wagstaff
376	primV(97240) / 2054798130239231521	12822	Feb 2026	Paul Underwood	Lucas primitive part
377	See complete expression	12814	Aug 2024	Alex Kruppa	Mersenne cofactor of M(48127)
378	20953858 + 38582095	12814	Jul 2022	Greg Childers	Leyland plus-form
379	(367 • 715118 − 1) / 6	12778	Jun 2022	Florian Piesker	Near redigit in base 7
380	(326633 + 1) / 4	12707	Aug 2022	Florian Piesker	Generalized Wagstaff
381	242210 + 91549	12707	Mar 2023	Anonymous
382	(77 • 1012720 − 41) / 80794157024576083501251	12699	Mar 2023	Youcef Lemsafer
383	(3499 • 1012689 − 1) / 3	12693	Apr 2023	Florian Piesker
384	16893926 + 39261689	12672	Jul 2022	Greg Childers	Leyland plus-form
385	24823729 + 37292482	12660	Jul 2022	Greg Childers	Leyland plus-form
386	(4994691 − 1) / 498	12655	Jun 2022	Florian Piesker	Generalized repunit
387	2575248 + 5248257	12648	Jul 2022	Greg Childers	Leyland plus-form
388	M(53977) / M(701) / M(7711) / M(4907) / M(77) • 259969	12644	Jul 2024	Alex Kruppa	Mersenne cofactor of M(53977)
389	13784023 + 40231378	12630	Jul 2022	Greg Childers	Leyland plus-form
390	(26383687 + 36872638) / 530650435937411	12600	Mar 2023	Youcef Lemsafer	Leyland plus-form cofactor
391	(2055449 + 1) / 206	12595	Jun 2022	Florian Piesker	Generalized Wagstaff
392	(2305333 − 1) / 229	12593	Jun 2022	Florian Piesker	Generalized repunit
393	R(12611) / 151596145122775505868566782271	12581	Sep 2024	Alfred Reich	Repunit cofactor
394	Sm10(3418) / 10541062 ; See complete expression	12558	Jan 2023	Youcef Lemsafer	Smarandache base 10 cofactor
395	(239509 − 1) / (23257 − 1) / 11002902177363902238826201639790642566112031151441	12550	Mar 2023	Youcef Lemsafer	Generalized repunit cofactor
396	(241614 + 220807 + 1) / 231896371365555042937	12507	Jul 2024	Alex Kruppa
397	(8 • 1012527 − 11) / 66426466217992706366987547351	12500	Feb 2023	Youcef Lemsafer
398	26133650 + 36502613	12473	Jul 2022	Greg Childers	Leyland plus-form
399	35123512 + 33	12452	May 2025	Tengfei Wang	Lifchitz plus-form
400	10504096 + 10134096	12375	Jan 2023	Youcef Lemsafer
401	30523543 + 35433052	12346	May 2022	Greg Childers	Leyland plus-form
402	23893646 + 36462389	12317	May 2022	Greg Childers	Leyland plus-form
403	25773602 + 36022577	12287	May 2022	Greg Childers	Leyland plus-form
404	31723507 + 35073172	12280	May 2022	Greg Childers	Leyland plus-form
405	13253924 + 39241325	12252	May 2022	Greg Childers	Leyland plus-form
406	(1211353 +1) / 13	12251	Aug 2022	Florian Piesker	Generalized Wagstaff
407	(23671 • 1012192 − 1) / 9	12196	Apr 2022	Florian Piesker
408	M(55495) / M(11099) / M(5045) • M(1009) / 567767102431	12138	Jul 2024	Alex Kruppa	Mersenne cofactor of M(55495)
409	5354444 + 4444535	12125	May 2022	Greg Childers	Leyland plus-form
410	239999 + 18065	12041	Jul 2023	Oliver Kruse	Smallest 40000-bit prime
411	239999 + 1411862541	12041	Oct 2023	Frank Doornink	Part of smallest 40000-bit prime twin
412	239999 + 1411862543	12041	Oct 2023	Frank Doornink	Part of smallest 40000-bit prime twin
413	(714221 − 1) / 6	12018	Aug 2022	Florian Piesker	Generalized repunit
414	1012000 − 11319	12000	Dec 2023	U.N.Owen	Largest 12000 digit prime
415	397542 − 98	12000	Mar 2024	Edwin Hall
416	(2235110 − 405) / 4	12000	Mar 2024	Edwin Hall
417	417440 + 952	12000	Mar 2024	Edwin Hall
418	1011999 + 76621	12000	Oct 2023	U.N.Owen
419	1011999 + 72577	12000	Jan 2023	Frank Doornink
420	1011999 + 12757	12000	Jan 2024	U.N.Owen	Smallest 12000 digit prime
421	M(42991) / M(3307) / M(13)	11943	Jul 2024	Alex Kruppa	Mersenne cofactor of M(42991)
422	30703423 + 34233070	11937	May 2022	Greg Childers	Leyland plus-form
423	976006 − 600697	11933	Apr 2025	Tengfei Wang	Leyland minus-form
424	(886 • 199291 − 1) / 3	11884	Jun 2022	Florian Piesker
425	1310633 − 50	11845	Jun 2022	Florian Piesker
426	298096 + 10	11840	Jul 2022	Florian Piesker
427	(313 • 324761 − 1) / 2	11817	Jul 2022	Florian Piesker
428	(4589 • 516892 − 1) / 4	11811	Dec 2022	Anonymous
429	3 • 1011799 − 37	11800	Mar 2023	Youcef Lemsafer
430	(22683515 + 35152268) / 787343	11790	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
431	(3752! + 1) / 104478008869009	11770	Mar 2026	Anonymous	Factorial plus cofactor
432	(3732! + 1) / 5504713034011	11700	Feb 2026	Anonymous	Factorial plus cofactor
433	M(58389) / M(19463) / 501545671318332018168553	11695	Jul 2024	Alex Kruppa	Mersenne cofactor of M(58389)
434	14073712 + 37121407	11687	May 2022	Greg Childers	Leyland plus-form
435	25603423 + 34232560	11667	Jun 2022	Greg Childers	Leyland plus-form
436	22483469 + 34692248	11628	Jun 2022	Greg Childers	Leyland plus-form
437	(29153354 + 33542915) / 16793707319901665479	11602	Apr 2023	Youcef Lemsafer	Leyland plus-form cofactor
438	26693378 + 33782669	11575	Jun 2022	Greg Childers	Leyland plus-form
439	(516519 − 1) / 4	11546	Aug 2022	Florian Piesker	Generalized repunit
440	See complete expression	11522	Jul 2024	Alex Kruppa	Mersenne cofactor of M(62439)
441	21973442 + 34422197	11503	Jun 2022	Greg Childers	Leyland plus-form
442	1975000 − 5000197	11473	Sep 2024	Oliver Kruse	Leyland minus-form
443	(22213422 − 34222221) / 11	11451	Dec 2023	U.N.Owen	Leyland minus-form cofactor
444	See complete expression	11377	Sep 2025	Serge Batalov
445	(201 • 1415279 − 1) / 20	11347	Jun 2022	Florian Piesker
446	(4327 • 1011330 − 7) / 9	11333	Jun 2022	Florian Piesker
447	(1110867 − 1) / 10	11316	Aug 2022	Florian Piesker	Generalized repunit
448	15163557 + 35571516	11314	Jun 2022	Greg Childers	Leyland plus-form
449	1137 • 367259 + 19	11301	Apr 2023	Florian Piesker
450	4964189 + 4189496	11292	Jun 2022	Greg Childers	Leyland plus-form
451	9223805 + 3805922	11281	Jun 2022	Greg Childers	Leyland plus-form
452	4724217 + 4217472	11277	Jun 2022	Greg Childers	Leyland plus-form
453	13249 • 248131 − 49	11227	Jun 2022	Florian Piesker
454	7653892 + 3892765	11224	Jun 2022	Paul Leyland	Leyland plus-form
455	19663395 + 33951966	11182	Jun 2022	Greg Childers	Leyland plus-form
456	See complete expression	11155	Jul 2024	Alex Kruppa
457	(19 • 1011149 + 611) / 9	11150	Jul 2024	Alfred Reich
458	M(47435) • M(179) • M(53) • M(5) / M(9487) / M895) / M(265)	11146	Jul 2024	Alex Kruppa	Mersenne cofactor of M(47435)
459	31823182 + 33	11146	May 2025	Tengfei Wang	Lifchitz plus-form
460	29423213 + 32132942	11145	Jun 2022	Greg Childers	Leyland plus-form
461	(3570! + 1) / 1653141738351157	11120	Feb 2026	Anonymous	Factorial plus cofactor
462	(3134451 + 1) / 314	11106	Jun 2022	Florian Piesker	Generalized Wagstaff
463	179021 + 25	11100	Jun 2022	Florian Piesker
464	See complete expression	11064	Aug 2025	Serge Batalov
465	(5034093 − 1) / 502	11055	May 2023	Tom Wu	Generalized repunit
466	(17 • 1011046 + 7) / 3	11047	Aug 2023	Markus Tervooren
467	24823243 + 32432482	11010	May 2022	Greg Childers	Leyland plus-form
468	1011000 + 11973	11001	Jul 2024	Alfred Reich
469	(293869752365940771791281143446653 • 1010968 − 1) / 3	11000	Jun 2026	Anonymous	Prime / Emirp     new
470	(1011000 + 46652354920208825626736445697937) / 3	11000	Jun 2026	Anonymous	Prime / Emirp     new
471	1010999 + 24439	11000	Nov 2023	U.N.Owen
472	(133 • 1005496 − 1) / 33	10993	Jun 2022	Florian Piesker
473	12623543 + 35431262	10988	May 2022	Oliver Kruse	Leyland plus-form
474	27813188 + 31882781	10981	May 2022	Oliver Kruse	Leyland plus-form
475	30893142 + 31423089	10966	May 2022	Oliver Kruse	Leyland plus-form
476	13303509 + 35091330	10962	May 2022	Oliver Kruse	Leyland plus-form
477	995488 + 548899	10953	May 2022	Oliver Kruse	Leyland plus-form
478	17663369 + 33691766	10940	May 2022	Oliver Kruse	Leyland plus-form
479	(4794079 + 1) / 480	10931	Jun 2022	Florian Piesker	Generalized Wagstaff
480	5393996 + 3996539	10916	May 2022	Oliver Kruse	Leyland plus-form
481	(64 • 1010906 + 53) / 9	10907	May 2022	Greg Childers	Palindrome
482	M(36433) / 22829723232843819182760759315930113665799992643755857550482474537913	10901	Dec 2025	Oliver Kruse	Mersenne cofactor
483	30703121 + 31213070	10884	May 2022	Oliver Kruse	Leyland plus-form
484	12713502 + 35021271	10871	May 2022	Oliver Kruse	Leyland plus-form
485	(237651 + 1) / (21637 + 1) / 2796203	10835	Jul 2024	Alex Kruppa	Wagstaff cofactor
486	347035 + 703534	10774	May 2022	Greg Childers	Leyland plus-form
487	5793896 + 3896579	10764	May 2022	Oliver Kruse	Leyland plus-form
488	Sm3(3228) / 6690369309511780988346 ; See complete expression	10738	May 2026	Youcef Lemsafer	Smarandache base 3 cofactor
489	286 • 414 + 286 − 1	10718	May 2026	Alfred Reich	Dual Williams
490	21183217 + 32172118	10700	May 2022	Oliver Kruse	Leyland plus-form
491	Lucas(51169)	10694	Jan 2026	Anonymous	Lucas; recertified
492	2984309 + 4309298	10662	May 2022	Oliver Kruse	Leyland plus-form
493	11733470 + 34701173	10651	May 2022	Oliver Kruse	Leyland plus-form
494	292 • 384 + 292 − 1	10635	May 2026	Alfred Reich	Dual Williams
495	17553268 + 32681755	10603	May 2022	Oliver Kruse	Leyland plus-form
496	(19 • 1010613 − 73) / 20376889065137331	10598	Jul 2024	Alfred Reich
497	1010584 + 26191	10585	Aug 2024	Alfred Reich
498	(19 • 1010554 + 341) / 9	10555	Jul 2024	Alfred Reich
499	146462479 • 235001 + 8765	10545	Oct 2025	Paul Underwood	Part of a CPAP-3; d = 8766
500	21193160 + 31602119	10511	May 2022	Oliver Kruse	Leyland plus-form
501	(129739 − 1) / 11	10510	Jul 2022	Florian Piesker	Generalized repunit
502	24473100 + 31002447	10505	May 2022	Oliver Kruse	Leyland plus-form
503	(34 • 1010499 − 61) / 9	10500	Dec 2022	Jason Parker-Burlingham
504	1010470 + 3	10471	Aug 2022	Florian Piesker
505	12093392 + 33921209	10456	May 2022	Greg Childers	Leyland plus-form
506	26613052 − 30522661	10454	Jun 2025	Tengfei Wang	Leyland minus-form
507	29183013 − 30132918	10441	Jun 2025	Tengfei Wang	Leyland minus-form
508	16783225 + 32251678	10400	May 2022	Greg Childers	Leyland plus-form
509	17723201 + 32011772	10399	May 2022	Greg Childers	Leyland plus-form
510	(82 • 1010394 + 71) / 9	10395	Nov 2023	Richard G.	Palindrome
511	19663155 + 31551966	10392	May 2022	Anonymous	Leyland plus-form
512	(2 • 1010391 + 61) / 9	10391	Jan 2023	Florian Baur	Near repdigit
513	(419 • 712274 − 5) / 6	10375	Sep 2022	Florian Piesker
514	1010371 + 24679	10372	Aug 2024	Alfred Reich
515	1010370 + 7891	10371	Aug 2024	Alfred Reich
516	1010369 + 20863	10370	Aug 2024	Alfred Reich
517	27693008 − 30082769	10355	Jun 2025	Tengfei Wang	Leyland minus-form
518	17483193 − 31931748	10354	Feb 2024	Tengfei Wang	Leyland minus-form
519	See complete expression	10350	Jul 2024	Alex Kruppa	Mersenne cofactor of M(47575)
520	24483053 − 30532448	10347	Jun 2025	Tengfei Wang	Leyland minus-form
521	6 • Bern(4306) / 2153	10342	Jun 2022	Greg Childers	Irregular
522	29172982 − 29822917	10333	Jun 2025	Tengfei Wang	Leyland minus-form
523	8513522 + 3522851	10320	May 2022	Paul Leyland	Leyland plus-form
524	See complete expression	10317	Nov 2025	Anonymous	Repunit cofactor of R(40404)
525	2124431 − 4431212	10308	Jun 2023	Florian Piesker	Leyland minus-form
526	See complete expression	10305	May 2024	Richard G.
527	See complete expression	10300	Sep 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(119994)
528	19513128 − 31281951	10292	Jun 2023	Florian Piesker	Leyland minus-form
529	(4341 • 514720 − 1) / 4	10292	Oct 2022	Anonymous
530	(158741 − 1) / 14	10280	Jul 2022	Florian Piesker	Generalized repunit
531	613206 + 217	10277	Feb 2024	Florian Piesker
532	59056921173 • 234030 + 7	10255	Jun 2022	Greg Childers	Part of sexy prime pair
533	6973594 + 3594697	10219	May 2022	Greg Childers	Leyland plus-form
534	10613372 − 33721061	10203	Jun 2023	Florian Piesker	Leyland minus-form
535	(191 • 1055045 + 1) / 8	10199	Jun 2022	Florian Piesker
536	8123505 − 3505812	10198	Jun 2023	Florian Piesker	Leyland minus-form
537	See complete expression	10195	Jul 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(103206)
538	22313042 + 30422231	10187	May 2022	Oliver Kruse	Leyland plus-form
539	24293000 − 30002429	10157	Jun 2023	Florian Piesker	Leyland minus-form
540	15433178 + 31781543	10133	May 2022	Paul Leyland	Leyland plus-form
541	M(42145) / M(8429) / 13604811874892518060205885792305751	10116	Jul 2024	Alex Kruppa	Mersenne cofactor of M(42145)
542	11413308 − 33081141	10114	Jun 2023	Florian Piesker	Leyland minus-form
543	12343265 + 32651234	10094	Jun 2022	Greg Childers	Leyland plus-form
544	Φ(23912,10)	10081	Jun 2022	David Broadhurst	Cyclotomic polynomial cofactor   of R(23912)
545	(29092910 − 29102909) / 41	10078	Jan 2023	Youcef Lemsafer	Leyland minus-form cofactor
546	27392930 + 29302739	10073	Jun 2022	Greg Childers	Leyland plus-form
547	259692281 − 259682281	10069	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
548	29072907 + 18981898	10069	Dec 2025	Oliver Kruse	Lifchitz plus-form
549	See complete expression	10068	Jul 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(117222)
550	7433506 + 742	10066	May 2026	Alfred Reich	Dual Williams
551	2314253 − 2304253	10053	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
552	789102053 − 789092053	10053	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
553	8083456 + 807	10049	May 2026	Alfred Reich	Dual Williams
554	2072644824759 • 233333 + 5	10047	Jun 2022	Greg Childers	Part of first known gigantic prime   triplet; re-certified via CM
555	3783896 + 377	10042	May 2026	Alfred Reich	Dual Williams
556	6483571 + 3571648	10041	May 2022	Greg Childers	Leyland plus-form
557	6843538 + 683	10031	May 2026	Alfred Reich	Dual Williams
558	769832053 − 769822053	10031	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
559	769472053 − 769462053	10030	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
560	19813042 − 30421981	10030	May 2023	Anonymous	Leyland minus-form
561	763942053 − 763932053	10024	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
562	(3262! + 1) / 3091890367590330237362029	10022	Feb 2026	Anonymous	Factorial plus cofactor
563	915115 + 90	10021	May 2026	Alfred Reich	Dual Williams
564	1010020 + 16657	10021	Aug 2024	Alfred Reich
565	See complete expression	10020	May 2026	Anonymous
566	See complete expression	10020	May 2026	Anonymous
567	1010020 − 237	10020	Aug 2024	Alfred Reich
568	28942894 + 20532053	10018	May 2024	Oliver Kruse	Leyland plus-form
569	8313430 + 830	10015	May 2026	Alfred Reich	Dual Williams
570	(61 • 1010016 − 7) / 5193	10015	Jul 2026	Anonymous	new
571	See complete expression	10014	Jul 2024	Alex Kruppa	Mersenne cofactor of M(42679)
572	(44 • 1010021 − 71) / 4788509679	10013	Jul 2026	Anonymous	new
573	244992281 − 244982281	10011	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
574	(69032609 − 1) / 3997631498	10007	May 2026	Michael Porter	Generalized repunit cofactor
575	(1213911 − 1) / (124637 − 1) / 157	10007	May 2026	Michael Porter	Generalized repunit cofactor
576	(45 • 233283 − 1) / 2265199868100403	10006	May 2026	Michael Porter	Riesel cofactor
577	(71 • 233238 − 1) / 109	10006	May 2026	Michael Porter	Riesel cofactor
578	(1098 • 2394211 + 1) / 12688219834129	10006	May 2026	Michael Porter	Generalized Proth cofactor
579	(186292347 + 1) / 80942219296714530	10006	May 2026	Michael Porter	Generalized Wagstaff cofactor
580	(96132518 + 1) / 423844875449528964456890	10006	May 2026	Michael Porter
581	(185112351 − 1) / 4987222285699423705427686770	10006	May 2026	Michael Porter	Generalized repunit cofactor
582	(138999 + 1) / 58926919603466247634	10005	May 2026	Michael Porter	Generalized Wagstaff cofactor
583	(73142593 − 1) / 1752533160363107	10005	May 2026	Michael Porter	Generalized repunit cofactor
584	(84692549 − 1) / 43178332	10005	May 2026	Michael Porter	Generalized repunit cofactor
585	(135622426 + 1) / 877117813951457959945	10005	May 2026	Michael Porter
586	(1034 • 2394211 + 1) / 241143046561091	10005	May 2026	Michael Porter
587	(79 • 233263 − 1) / 115516295447	10004	May 2026	Michael Porter	Riesel cofactor
588	(162222381 − 1) / 702336971660428797573	10004	Apr 2026	Michael Porter	Generalized repunit cofactor
589	(111342473 − 1) / 11133	10004	May 2026	Michael Porter	Generalized repunit
590	(74 • 1010017 − 1) / 7003079578422563	10004	May 2026	Michael Porter
591	(10491721663 + 1) / 1049173	10003	May 2026	Michael Porter	Generalized Wagstaff cofactor
592	(39 • 233291 − 1) / 371972862859286220829	10003	Apr 2026	Michael Porter	Riesel cofactor
593	(125232446 + 1) / 286050143722457924330	10003	Apr 2026	Michael Porter
594	(48782713 − 1) / 4877	10003	Apr 2026	Michael Porter	Generalized repunit
595	(128902437 + 1) / 167222679108477	10003	May 2026	Michael Porter	Generalized Wagstaff cofactor
596	746152053 − 746142053	10003	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
597	(127 • 233220 − 1) / 3	10002	Apr 2026	Michael Porter	Riesel cofactor
598	(191 • 233262 − 1) / 26524711363663	10002	Apr 2026	Michael Porter	Riesel cofactor
599	(55 • 233282 − 1) / 19295840380197014631	10002	Apr 2026	Michael Porter	Riesel cofactor
600	(76542579 + 1) / 1730325449096005	10002	May 2026	Michael Porter	Generalized Wagstaff cofactor
601	515857 − 505857	10002	Apr 2025	Anonymous	Generalized Mersenne
602	(58262659 − 1) / 94295059225	10002	Apr 2026	Michael Porter	Generalized repunit cofactor
603	(111592474 + 1) / 6161536516642	10002	Apr 2026	Michael Porter
604	1010001 + 28331593	10002	May 2024	Anonymous
605	(46062731 + 1) / 4607	10001	Apr 2026	Michael Porter	Generalized Wagstaff
606	(33238 • 233239 + 1) / 4104169815	10001	Apr 2026	Michael Porter	Near Cullen cofactor
607	(197852333 − 1) / 34638852192398078083384	10001	Apr 2026	Michael Porter
608	(52 • 1010000 + 11) / 9	10001	Mar 2023	Youcef Lemsafer
609	(133572428 + 1) / 31829931492483602	10001	Apr 2026	Michael Porter
610	(73 • 233241 + 1) / 61024593	10001	Apr 2026	Michael Porter	Proth cofactor
611	(153122393 + 1) / 225232767773903	10001	Apr 2026	Michael Porter	Generalized Wagstaff cofactor
612	(137782417 + 1) / 13779	10001	Apr 2026	Michael Porter	Generalized Wagstaff
613	12843217 − 12833217	10001	Apr 2025	Anonymous	Generalized Mersenne
614	1010000 + 1017363	10001	Aug 2024	Alfred Reich
615	1010000 + 165031	10001	Aug 2024	Alfred Reich
616	1010000 + 65277	10001	Oct 2023	U.N.Owen
617	1010000 + 28579	10001	Oct 2023	U.N.Owen
618	1010000 − 22403	10000	Aug 2024	Alfred Reich
619	1010000 − 47717	10000	Aug 2024	Alfred Reich
620	1010000 − 65403	10000	Jan 2026	Alfred Reich
621	1010000 − 322497	10000	Sep 2024	Alfred Reich
622	894297 • 109994 + 711826	10000	Aug 2024	Alfred Reich
623	233219 − 52545	10000	Jul 2024	Alfred Reich
624	(46572732 + 1) / 2516045064327004328914	10000	Apr 2026	Michael Porter
625	(82302558 + 1) / 6158727069636769	10000	Apr 2026	Anonymous
626	631101 • 109994 + 711826	10000	Aug 2024	Alfred Reich
627	Fib(47850) + 20841	10000	Dec 2023	Tengfei Wang
628	(237371 + 397) / 41745703454270394607773342228304835316	10000	Jul 2024	Alfred Reich
629	(237344 + 231) / 8	10000	Jul 2022	Florian Piesker
630	(114952467 − 1) / 536935319091017126	10000	Apr 2026	Anonymous	Generalized repunit cofactor
631	299667 • 109994 + 711826	10000	Aug 2024	Alfred Reich
632	240708 • 109994 + 711826	10000	Aug 2024	Alfred Reich
633	233217 + 111	10000	May 2022	Anonymous
634	233217 − 721155	10000	Mar 2024	Edwin Hall
635	See complete expression	10000	Aug 2024	Alfred Reich
636	See complete expression	10000	Aug 2024	Alfred Reich	Leyland plus-form cofactor
637	Fib(47847) + 26679	10000	Jul 2024	Alfred Reich
638	(1010000 − 1) / 9 + 7 • 10885	10000	Aug 2024	Alfred Reich	Near repunit
639	233216 + 281577	10000	Mar 2023	Youcef Lemsafer
640	((11476 • 1035 + 4113)256 + 1) / 2	10000	Aug 2024	Alfred Reich	Generalized half-Fermat
641	(33875430588693130699512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
642	(33875430588693094381512 + 1) / 2	10000	Aug 2024	Alfred Reich	Generalized half-Fermat
643	(33875430588693072115512 + 1) / 2	10000	Apr 2026	Anonymous	Generalized half-Fermat
644	(33875430588693069661512 + 1) / 2	10000	Apr 2026	Anonymous	Generalized half-Fermat
645	(33875430588693069511512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
646	(33875430588693064859512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
647	(33875430588693062819512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
648	(33875430588693060889512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
649	(33875430588693060787512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
650	(33875430588693059443512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
651	(33875430588693058083512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
652	(33875430588693055871512 + 1) / 2	10000	Aug 2024	Alfred Reich	Generalized half-Fermat
653	1309747264300589758110032419673347620959731068338635399869049806286716959555931128 + 2	10000	Aug 2024	Alfred Reich
654	10 • (104999 + 520488)2 + 7	10000	Aug 2024	Alfred Reich
655	10 • (104999 + 517910)2 + 7	10000	Aug 2024	Alfred Reich
656	10 • (104999 + 86414)2 + 7	10000	Aug 2024	Alfred Reich
657	109999 + 1527231836097	10000	Mar 2026	Anonymous
658	109999 + 21870245691511147257	10000	Jul 2024	Alfred Reich
659	109999 + 7066834558999	10000	Aug 2024	Alfred Reich
660	109999 + 274366375363	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 2, 6
661	109999 + 274366375359	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 2, 6
662	109999 + 274366375357	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 2, 6
663	109999 + 194011932123	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 4, 6
664	109999 + 194011932121	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 4, 6
665	109999 + 194011932117	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 4, 6
666	109999 + 11147257	10000	May 2022	Anonymous
667	109999 + 780199	10000	Jul 2024	Alfred Reich
668	109999 + 78571	10000	Nov 2024	Alfred Reich
669	109999 + 70999	10000	Oct 2023	U.N.Owen
670	(109999 + 1253) / 3	9999	Jul 2024	Alfred Reich
671	22522981 − 29812252	9995	Jun 2023	Florian Piesker	Leyland minus-form
672	(52 • 109998 − 43) / 4035281193	9991	Mar 2023	Youcef Lemsafer
673	p(80036992)	9958	Feb 2026	Paul Underwood	Partitions   Recertified
674	(997 • 320847 − 1) / 2	9950	Jul 2022	Florian Piesker
675	(3 • 1074900 − 1) / 2	9945	Jun 2023	Florian Piesker
676	7383467 − 3467738	9944	Jun 2023	Florian Piesker	Leyland minus-form
677	See complete expression	9935	Jul 2024	Alex Kruppa	Mersenne cofactor of M(40411)
678	(82 • 109931 + 53) / 9	9932	Mar 2023	Youcef Lemsafer
679	14583139 − 31391458	9932	Jun 2023	Florian Piesker	Leyland minus-form
680	(4 • 109919 + 9) / 7	9919	Mar 2023	Youcef Lemsafer
681	(109918 − 1) / 9 − 109568	9918	Dec 2022	Youcef Lemsafer	Near repunit
682	27192882 − 28822719	9898	Jun 2023	Florian Piesker	Leyland minus-form
683	11283241 − 32411128	9893	Jun 2023	Florian Piesker	Leyland minus-form
684	(27 • 915048 − 1) / 2	9891	Jun 2022	Florian Piesker
685	27112880 − 28802711	9888	Jun 2023	Florian Piesker	Leyland minus-form
686	2394152 + 238	9876	Mar 2026	Alfred Reich	Dual Williams
687	232767 + 34769	9864	Oct 2023	Maia Karpovich
688	17413042 − 30421741	9859	Jan 2024	Tengfei Wang	Leyland minus-form
689	(19 • 109862 + 89) / 8814321	9857	Jul 2024	Alfred Reich
690	(86 • 109860 + 13) / 1669254641109	9850	Mar 2023	Youcef Lemsafer
691	4033780 − 3780403	9849	Feb 2024	Tengfei Wang	Leyland minus-form
692	232672 − 384539	9836	Mar 2023	Maia Karpovich
693	See complete expression	9800	Apr 2023	Youcef Lemsafer	Generalized Wagstaff cofactor
694	1984255 + 197	9773	Mar 2026	Alfred Reich	Dual Williams
695	3003943 + 299	9768	Mar 2026	Alfred Reich	Dual Williams
696	See complete expression	9750	Apr 2023	Youcef Lemsafer	Generalized repunit cofactor
697	See complete expression	9744	Jul 2024	Alex Kruppa	Mersenne cofactor of M(60765)
698	(839 • 910171 − 7) / 8	9708	Sep 2022	Florian Piesker
699	(14 • 109698 + 1) / 3	9699	Mar 2023	Youcef Lemsafer
700	(513873 − 1) / 4	9697	Jul 2022	Florian Piesker	Generalized repunit
701	1364543 + 135	9693	Mar 2026	Alfred Reich	Dual Williams
702	2584016 + 257	9683	Mar 2026	Alfred Reich	Dual Williams
703	(934903 − 1) / 92	9650	Jul 2022	Florian Piesker	Generalized repunit
704	2833931 + 282	9638	Mar 2026	Alfred Reich	Dual Williams
705	528 • 366178 + 31	9618	Dec 2022	Florian Piesker
706	(77 • 109614 + 31) / 23536898034822153	9600	Feb 2023	Youcef Lemsafer
707	2553987 + 254	9595	Mar 2026	Alfred Reich	Dual Williams
708	415927 + 3	9590	Mar 2026	Alfred Reich	Dual Williams
709	258 • 549 + 258 − 1	9586	May 2026	Alfred Reich	Dual Williams
710	(14 • 109580 + 1) / 3	9581	Apr 2023	Youcef Lemsafer
711	M(33373) / M(1451) / 19878816283502926167695890057664423	9576	Jul 2024	Alex Kruppa	Mersenne cofactor
712	2973859 + 296	9543	Mar 2026	Alfred Reich	Dual Williams
713	207331 − 197331	9538	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
714	(16 • 109534 − 7) / 9	9535	Apr 2026	Anonymous	Near repdigit
715	((215820 − 1)2 + 3) / 228	9523	Jul 2024	Alex Kruppa
716	(8 • 109507 − 71) / 9	9507	Apr 2026	Anonymous	Near repdigit
717	See complete expression	9502	Jul 2024	Alex Kruppa	Mersenne cofactor of M(42835)
718	16777216^1315+16777215	9501	May 2026	Alfred Reich	Dual Williams
719	1644289 − 1634289	9500	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
720	(109500 − 1) / 9 − 105303	9500	Mar 2023	Youcef Lemsafer	Near repunit
721	2264035 + 225	9499	Feb 2026	Alfred Reich	Dual Williams
722	585370 + 57	9470	Mar 2026	Alfred Reich	Dual Williams
723	1564316 + 155	9466	Feb 2026	Alfred Reich	Dual Williams
724	109458 + 99	9459	Feb 2026	Alfred Reich	Dual Williams
725	(1994096 + 374096) / 131074	9411	Jan 2023	Youcef Lemsafer
726	(15049 • 109403 − 1) / 9	9407	Apr 2023	Florian Piesker
727	(2 • 109401 + 61) / 9	9401	Jan 2023	Florian Baur	Near repdigit
728	(64 • 109400 + 71) / 711	9399	Mar 2023	Youcef Lemsafer
729	(1974096 + 1894096) / 2	9398	Jan 2023	Youcef Lemsafer
730	555390 + 54	9381	Mar 2026	Alfred Reich	Dual Williams
731	109377 + 4551	9378	Aug 2024	Alfred Reich
732	2094032 + 208	9355	Mar 2026	Alfred Reich	Dual Williams
733	(3070! − 1) / 351053272725239827774649	9351	Feb 2026	Anonymous	Factorial minus cofactor
734	177596 + 16	9347	Mar 2026	Alfred Reich	Dual Williams
735	505496 + 49	9338	Mar 2026	Alfred Reich	Dual Williams
736	207176 + 19	9337	Mar 2026	Alfred Reich	Dual Williams
737	Φ(15717,10) / 19371189787956960101904837526140849990432949485984853	9308	Jul 2025	Anonymous	Repunit cofactor of R(15717)
738	(41 • 109300 − 23) / 9	9301	Feb 2023	Youcef Lemsafer
739	M(31181) / 21140719 / 253673383177500449 / 857820870366776701460174543   / 63143923609122773219414658038747759	9300	Dec 2025	Oliver Kruse	Mersenne cofactor
740	(513241 − 1) / 4	9255	Jul 2022	Florian Piesker	Generalized repunit
741	299 • 310 + 299 − 1	9239	May 2026	Alfred Reich	Dual Williams
742	Φ(13917,10) / ​1403524851659109979105248773826147953493807800675107	9225	Sep 2024	Alfred Reich	Cyclotomic polynomial cofactor   of R(13917)
743	See complete expression	9169	Jun 2024	Alex Kruppa	Mersenne cofactor of M(47337)
744	M(38105) / M(7621) / 85163760511	9166	Jun 2024	Alex Kruppa	Mersenne cofactor
745	2873728 + 286	9163	Mar 2026	Alfred Reich	Dual Williams
746	See complete expression	9142	Jun 2024	Alex Kruppa	Mersenne cofactor of M(56955)
747	714919 − 704919	9107	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
748	1281979 • 109078 + 9791821	9085	Sep 2022	Anonymous
749	Sm2(2857) / 201680398811064555 ; See complete expression	9075	May 2026	Youcef Lemsafer	Smarandache base 2 cofactor
750	9993015 + 998	9044	May 2026	Alfred Reich	Dual Williams
751	(1614096 + 1574096) / 2	9039	Jan 2023	Youcef Lemsafer
752	1644079 − 1634079	9035	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
753	Φ(45340 [C+D] ,10) / ​436539564528651438637853247761	9034	Sep 2024	Alfred Reich	Cyclotomic polynomial cofactor   of R(45340)
754	229999 + 322389431	9031	Oct 2023	Frank Doornink	Part of smallest 30000-bit prime twin
755	229999 + 322389429	9031	Oct 2023	Frank Doornink	Part of smallest 30000-bit prime twin
756	229999 + 28911	9031	Jul 2023	Oliver Kruse	Smallest 30000-bit prime
757	primV(89100)	9029	Feb 2026	Vishwath Ganesan	Lucas primitive part
758	(2971 • 512899 − 1) / 2	9020	Sep 2022	Florian Piesker
759	(109022 − 28) / 459131477292	9011	Mar 2024	Youcef Lemsafer
760	(16452802 + 28021645) / 54521153	9004	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
761	(86112681 − 1) / (8611383 − 1) / 10756307476841112466091538968116681045957633	9000	Mar 2024	Edwin Hall	Generalized repunit cofactor
762	3761 • (37602627 + 1) / (376071 + 1) / (376037 + 1) / 11925450391	9000	Mar 2024	Edwin Hall	Generalized Wagstaff cofactor
763	See complete expression	9000	Mar 2024	Edwin Hall
764	(22092693 + 26932209) / 5355882	9000	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
765	(109001 − 869) / 89	9000	Mar 2024	Edwin Hall
766	(109000 − 1) / 9 − 103826	9000	Nov 2023	U.N.Owen	Near repunit
767	(109000 − 1) / 9 − 105167	9000	May 2026	Anonymous	Near repunit
768	16 • 365779 − 1163	8996	Dec 2022	Florian Piesker
769	(1574096 + 1114096) / 2	8995	Jan 2023	Youcef Lemsafer
770	(1574096 + 834096) / 2	8995	Jan 2023	Youcef Lemsafer
771	655361867 + 65535	8993	May 2026	Alfred Reich	Dual Williams
772	(48058 • 89949 − 3) / 7	8989	Oct 2022	Florian Piesker
773	(2960! − 1) / 3106921	8986	Feb 2026	Anonymous	Factorial minus cofactor
774	206899 − 196899	8976	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
775	1554096 + 664096	8972	Jan 2023	Youcef Lemsafer
776	108960 − 19389	8960	Aug 2024	Alfred Reich
777	1534096 + 404096	8949	Jan 2023	Youcef Lemsafer
778	157559 − 147559	8891	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
779	(884586 + 458688) / 288 / 1985	8888	Jul 2024	Alfred Reich	Leyland plus-form cofactor
780	41943041341 + 4194303	8881	May 2026	Alfred Reich	Dual Williams
781	108802 − 20577	8802	Aug 2024	Alfred Reich
782	(123482153 − 1) / 6698951279	8800	Apr 2023	Youcef Lemsafer	Generalized repunit cofactor
783	25692569 + 22	8760	May 2025	Tengfei Wang	Lifchitz plus-form
784	1374096 + 104096	8753	Jan 2023	Youcef Lemsafer
785	3953370 + 394	8751	May 2026	Alfred Reich	Dual Williams
786	108744 − 27857	8744	Aug 2024	Alfred Reich
787	(31 • 177092 − 15) / 16	8727	Jun 2022	Florian Piesker
788	(2881! − 1) / 643121	8713	Feb 2026	Anonymous	Factorial minus cofactor
789	(65 • 108709 + 43) / 16087990743	8701	Feb 2023	Youcef Lemsafer
790	1663917 − 1653917	8697	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
791	1114250 + 110	8693	Mar 2026	Alfred Reich	Dual Williams
792	724673 − 467372	8680	Mar 2023	Youcef Lemsafer	Leyland minus-form
793	1773860 + 176	8678	Mar 2026	Alfred Reich	Dual Williams
794	See PrimePages for more informations	8678	Aug 2025	Serge Batalov	Lehmer primitive part
795	(7 • 108653 − 61) / 7551	8650	Feb 2023	Youcef Lemsafer
796	2263674 + 225	8649	Mar 2026	Alfred Reich	Dual Williams
797	(86 • 108621 − 41) / 58239	8619	Feb 2023	Youcef Lemsafer
798	(1274096 + 904096) / 163841	8612	Feb 2023	Youcef Lemsafer
799	18641 • (186402359 + 1) / (18640337 + 1) / 163857991005752979174572330844369578279	8601	Mar 2023	Youcef Lemsafer	Generalized Wagstaff cofactor
800	1653878 + 164	8600	Mar 2026	Alfred Reich	Dual Williams
801	(8472941 + 2941847) / 527481769684	8600	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
802	(108600 − 1) / 9 − 104293	8600	Mar 2023	Youcef Lemsafer	Near repunit
803	1034272 − 4272103	8599	Feb 2023	Youcef Lemsafer	Leyland minus-form
804	(6413070 + 3070641) / 33971826983411341967	8598	Mar 2023	Youcef Lemsafer	Leyland plus-form cofactor
805	(9901 • 108589 − 1) / 9	8593	Jul 2022	Florian Piesker
806	(1394012 + 4012139) / 100314287268997379755577	8575	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
807	(108579 − 3) / 39671	8575	Feb 2023	Youcef Lemsafer
808	(82 • 108570 − 1) / 9	8571	Aug 2023	Anonymous	Near repunit
809	(14 • 108570 + 1) / 687	8569	Feb 2023	Youcef Lemsafer
810	(1111111102 • 108557 − 1) / 9	8566	Mar 2024	Tengfei Wang
811	(1234096 + 1154096) / 2506754	8554	Jan 2023	Youcef Lemsafer
812	(68 • 108555 + 31) / 134379	8552	Feb 2023	Youcef Lemsafer
813	1224096 + 694096	8546	Jan 2023	Youcef Lemsafer
814	(28 • 108537 − 1) / 9	8538	Jan 2023	Florian Piesker	Near repunit
815	(64 • 108541 + 17) / 338616927009	8532	Mar 2023	Youcef Lemsafer
816	(7 • 108529 − 43) / 9732121263	8520	Mar 2023	Youcef Lemsafer
817	(118192 + 24096) / 811750637569	8520	Jan 2023	Youcef Lemsafer
818	(710079 − 1) / 8345418	8511	Oct 2024	Jiahao He	Generalized repunit cofactor
819	(10282825 + 28251028) / 1623887337	8500	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
820	(13 • 228232 − 1) / 3	8500	Sep 2025	Oliver Kruse	Riesel cofactor
821	(73 • 108502 + 71) / 170487	8499	Mar 2023	Youcef Lemsafer
822	1094170 + 108	8497	Mar 2026	Alfred Reich	Dual Williams
823	M(42447) / M(14149) / 86581124763285473569129	8496	Jun 2024	Alex Kruppa	Mersenne cofactor
824	(2808! + 1) / 1806839	8460	Feb 2026	Anonymous	Factorial plus cofactor
825	(3473331 − 1) / 346	8460	May 2023	Tom Wu	Generalized repunit
826	(200100299192771693491 − 1) / 1373898629474229166883705969951160284311606388	8450	Mar 2023	Youcef Lemsafer	Generalized repunit cofactor
827	(2805! − 1) / 539927183	8447	Feb 2026	Anonymous	Factorial minus cofactor
828	See complete expression	8446	Jun 2024	Alex Kruppa	Mersenne cofactor of M(53055)
829	(3123373 − 1) / 311	8411	Jun 2022	Florian Piesker	Generalized repunit
830	(108414 + 775) / 103775	8409	Jul 2024	Alfred Reich
831	108408 + 39913	8409	Jul 2024	Alfred Reich
832	(1134096 + 724096) / 273801217	8401	Jan 2023	Youcef Lemsafer
833	(9582819 + 2819958) / 200317	8400	Jan 2023	Youcef Lemsafer	Leyland plus-form cofactor
834	2873410 − 2	8382	Jun 2022	Florian Piesker
835	2376 • (23772641 − 1) / (2377139 − 1) / (237719 − 1) / 1477935293	8377	Feb 2023	Youcef Lemsafer	Generalized repunit cofactor
836	(1114096 + 404096) / 10737647617	8368	Jan 2023	Youcef Lemsafer
837	(11062749 + 27491106) / 263458528020130533	8350	May 2023	Youcef Lemsafer	Leyland plus-form cofactor
838	(35862351 − 1) / 16860255	8350	Mar 2023	Youcef Lemsafer	Generalized repunit cofactor
839	See complete expression	8338	Jun 2024	Alex Kruppa
840	(317477 − 1) / 1245760562	8330	Oct 2024	Jiahao He	Generalized repunit cofactor
841	See complete expression	8300	Feb 2023	Youcef Lemsafer	Generalized repunit cofactor
842	894253 − 884253	8291	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
843	Sm2(2636) / 24124 ; See complete expression	8289	May 2026	Youcef Lemsafer	Smarandache base 2 cofactor
844	(117963 −1) / 43224926255859775947744209544153708970	8255	Oct 2024	Jiahao He	Generalized repunit cofactor
845	(13162647 + 26471316) / 3196923	8251	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
846	(22 • 108233 − 13) / 9	8234	Jul 2022	Anonymous
847	335419 − 325419	8229	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
848	1723671 − 1713671	8207	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
849	(38 • 108216 − 11) / 54190320114037707	8201	Mar 2023	Youcef Lemsafer
850	(41392267 − 1) / 4138	8196	Jan 2024	Tom Wu	Generalized repunit
851	(71 • 108196 − 53) / 33220323	8191	Feb 2023	Youcef Lemsafer
852	16 • 206270 + 13	8159	Jun 2022	Florian Piesker
853	Sm3(2546) ; See complete expression	8157	May 2026	Youcef Lemsafer	Smarandache base 3
854	(11 • 108128 +3) / 97	8128	Sep 2025	Oliver Kruse
855	(674451 − 1) / 66	8127	Jan 2024	Tom Wu	Generalized repunit
856	108124 + 4147	8125	Aug 2024	Alfred Reich
857	(317027 + 1) / 4	8124	Jul 2022	Florian Piesker	Generalized Wagstaff
858	564639 − 554639	8110	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
859	664447 − 654447	8092	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
860	(934096 + 384096) / 188417	8058	Jan 2023	Youcef Lemsafer
861	(70132087 − 1) / 7012	8023	Dec 2025	Oliver Kruse	Generalized repunit
862	(53 • 108033 − 71) / 62932385240091	8021	Feb 2023	Youcef Lemsafer
863	(108009 − 1) / 9 − 102515	8009	Sep 2024	Oliver Kruse	Near repunit
864	(38242237 − 1) / 171044843	8006	Feb 2023	Youcef Lemsafer	Generalized repunit cofactor
865	226577 + 27132 + 1	8001	May 2026	Anonymous
866	(32692281 + 1) / 25519260590121990	8000	Mar 2024	Edwin Hall	Generalized Wagstaff cofactor
867	(79467 + 69) / 4	8000	Mar 2024	Edwin Hall
868	(434902 + 167) / 23920176	8000	Apr 2025	Anonymous
869	12170 • (121692059 + 1) / (1216971 + 1) / (1216929 + 1) / 29637247	8000	Mar 2024	Edwin Hall	Generalized Wagstaff cofactor
870	(141601931 − 1) / 12920932028719289	8000	Jan 2023	Anonymous	Generalized repunit cofactor
871	(121 • 226589 − 1) / 4027553	8000	Jul 2022	Florian Piesker	Riesel cofactor
872	(87992029 − 1) / 8798	8000	Nov 2022	Anonymous	Generalized repunit
873	(32411 • 365138 − 1) / 35	8000	Jul 2022	Florian Piesker
874	See complete expression	8000	Mar 2024	Edwin Hall
875	See complete expression	8000	Mar 2024	Edwin Hall
876	(1953496 + 3496195) / 5670889	8000	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
877	((6156 + 1)66 + 2) / 5329098793947	8000	Mar 2024	Edwin Hall
878	See complete expression	8000	Mar 2024	Edwin Hall	Generalized repunit cofactor
879	See complete expression	8000	May 2026	Anonymous
880	107999 + 1600488488137	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
881	107999 + 1600488488133	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
882	107999 + 1600488488131	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
883	107999 + 59692204803	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
884	107999 + 59692204801	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
885	107999 + 308129599	8000	Oct 2023	U.N.Owen
886	107999 + 273025591	8000	Mar 2024	Edwin Hall
887	(8 • 107995 − 53) / 9	7995	Apr 2026	Anonymous	Near repdigit
888	(894096 + 334096) / 8929282	7978	Jan 2023	Youcef Lemsafer
889	(35 • 108001 − 53) / 8827926799385761612706799	7978	Feb 2023	Youcef Lemsafer
890	3513130 + 350	7967	Mar 2026	Alfred Reich	Dual Williams
891	(19 • 107959 − 73) / 339391917	7952	Jul 2024	Alfred Reich
892	(2443331 − 1) / 243	7951	Jun 2022	Florian Piesker	Generalized repunit
893	(2 • 107925 + 61) / 9	7925	Jan 2023	Florian Baur	Near repdigit
894	8232712 − 2712823	7907	May 2025	Tengfei Wang	Leyland minus-form
895	7342759 − 2759734	7907	May 2025	Tengfei Wang	Leyland minus-form
896	(77 • 107906 + 31) / 33854049	7901	Feb 2023	Youcef Lemsafer
897	(38032207 − 1) / 3802	7898	Jan 2024	Tom Wu	Generalized repunit
898	See PrimePages for more informations	7891	Aug 2025	Serge Batalov	Part of CHG-proof of   Lehmer primitive part
899	1723527 − 1713527	7885	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
900	(38 • 107876 + 43) / 9	7877	Jul 2022	Anonymous
901	12 • 186270 + 221	7872	Jun 2022	Florian Piesker
902	Sm2(2517) / 185 ; See complete expression	7861	May 2026	Youcef Lemsafer	Smarandache base 2 cofactor
903	17122429 − 24291712	7855	May 2025	Tengfei Wang	Leyland minus-form
904	22112344 − 23442211	7840	May 2025	Tengfei Wang	Leyland minus-form
905	(5172887 − 1) / 516	7832	Jun 2022	Florian Piesker	Generalized repunit
906	21662347 − 23472166	7829	May 2025	Tengfei Wang	Leyland minus-form
907	(2620! + 1) / 2621	7817	Feb 2026	Anonymous	Factorial plus cofactor
908	(2623! − 1) / 3914111041830581	7815	Feb 2026	Anonymous	Factorial minus cofactor
909	1083841 − 3841108	7811	May 2025	Tengfei Wang	Leyland minus-form
910	(107807 + 27 • 103903 − 1) / 19323	7803	Feb 2023	Youcef Lemsafer
911	7442717 − 2717744	7803	May 2025	Tengfei Wang	Leyland minus-form
912	(7 • 107784 + 11) / 9	7784	Apr 2026	Anonymous	Near repdigit
913	See complete expression	7778	Sep 2025	Oliver Kruse	Mersenne cofactor of M(26161)
914	107777 + 23631	7778	Dec 2022	Youcef Lemsafer
915	230 • 860 + (230 − 1)	7767	May 2026	Alfred Reich	Dual WIlliams
916	7902679 − 2679790	7763	May 2025	Tengfei Wang	Leyland minus-form
917	− E(2762) / 2670541	7760	May 2023	Frank Doornink	Euler irregular   re-certified via CM
918	17432392 − 23921743	7754	Feb 2024	Florian Piesker	Leyland minus-form
919	22302313 − 23132230	7745	Feb 2024	Florian Piesker	Leyland minus-form
920	(19 • 107733 − 73) / 1262287288345540958091	7714	Jul 2024	Alfred Reich
921	(23 • 107719 + 1) / 70520620353765145773	7701	Feb 2023	Youcef Lemsafer
922	(41272129 − 1) / 4126	7695	Sep 2024	Tom Wu	Generalized repunit
923	Φ(19310,10) / 59723691770615984462270474099257662234974081	7677	Jul 2025	Anonymous	Repunit cofactor of R(19310)
924	(754096 + 174096) / 229378	7675	Jan 2023	Youcef Lemsafer
925	2953096 − 3096295	7647	May 2025	Tengfei Wang	Leyland minus-form
926	14972404 − 24041497	7634	Jan 2024	Florian Piesker	Leyland minus-form
927	296 • 264 + 296 − 1	7630	May 2026	Alfred Reich	Dual Williams
928	13 • 285270 + 5697	7628	Oct 2022	Anonymous
929	19912312 − 23121991	7628	Jan 2024	Florian Piesker	Leyland minus-form
930	(734096 + 374096) / 81922	7628	Jan 2023	Youcef Lemsafer
931	20712298 − 22982071	7621	Jan 2024	Florian Piesker	Leyland minus-form
932	1433524 + 142	7596	Feb 2026	Alfred Reich	Dual Williams
933	(8 • 107581 − 17) / 9	7581	Apr 2026	Anonymous	Near repdigit
934	2053278 − 3278205	7578	Jan 2024	Florian Piesker	Leyland minus-form
935	11452466 − 24661145	7544	Jan 2024	Florian Piesker	Leyland minus-form
936	(12972423 − 1) / 1296	7540	Sep 2023	Anonymous	Generalized repunit
937	(843917 − 1) / 83	7536	Jul 2022	Florian Piesker	Generalized repunit
938	(19 • 107581 − 73) / 705339555643950750455644733834598431861786767432209	7532	Jul 2024	Alfred Reich
939	(19 • 107532 − 73) / 311235687	7525	Jul 2024	Alfred Reich
940	(8 • 107517 − 17) / 66339998953749837	7502	Dec 2022	Youcef Lemsafer
941	(684096 + 374096) / 3625623553	7497	Jan 2023	Youcef Lemsafer
942	(510723 + 1) / 1685398254	7486	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
943	14572366 − 23661457	7485	Jan 2024	Florian Piesker	Leyland minus-form
944	2153206 −3206215	7478	Jan 2024	Florian Piesker	Leyland minus-form
945	3922883 − 2883392	7477	Jan 2024	Florian Piesker	Leyland minus-form
946	11122453 − 24531112	7473	Jan 2024	Florian Piesker	Leyland minus-form
947	(13192393 − 1) / 1318	7464	Jun 2023	Tom Wu	Generalized repunit
948	454513 + 44	7461	Feb 2026	Alfred Reich	Dual Williams
949	(69587 − 1) / 1547659697921495	7445	Oct 2024	Jiahao He	Generalized repunit cofactor
950	15582331 − 23311558	7442	Jan 2024	Florian Piesker	Leyland minus-form
951	13822367 − 23671382	7434	Jan 2024	Florian Piesker	Leyland minus-form
952	M(24977) /   356188988279565678860712219326788909779222981959375612731418246191096000840878817568687	7433	May 2025	Anonymous	Mersenne cofactor
953	305016 + 29	7410	Mar 2026	Alfred Reich	Dual Williams
954	9 • 107400 − 13	7401	Dec 2022	Youcef Lemsafer
955	See complete expression	7401	Aug 2024	Alfred Reich	Generalized repunit cofactor
956	(107400 − 1) / 9 − 10135	7400	Dec 2022	Youcef Lemsafer	Near repunit
957	107399 + 4119	7400	Dec 2022	Youcef Lemsafer
958	2703039 + 269	7389	Mar 2026	Alfred Reich	Dual Williams
959	(19 • 107388 − 73) / 2519251881192081	7374	Jul 2024	Alfred Reich	-
960	(510567 − 1) / 462684221045557737731337100158760674675356	7345	Oct 2024	Jiahao He	Generalized repunit cofactor
961	(11872389 − 1) / 1186	7342	Jun 2023	Tom Wu	Generalized repunit
962	8822491 − 2491882	7338	Aug 2023	Florian Piesker	Leyland minus-form
963	(75 • 224339 − 1) / 248209057	7321	Sep 2024	Anonymous	Riesel cofactor
964	294996 + 28	7307	Mar 2026	Alfred Reich	Dual Williams
965	2802984 + 279	7303	Mar 2026	Alfred Reich	Dual Williams
966	See complete expression	7299	Sep 2024	Serge Batalov	Cyclotomic polynomial cofactor   of 1247505550 − 1
967	18122239 − 22391812	7296	Aug 2023	Florian Piesker	Leyland minus-form
968	205604 + 19	7291	Mar 2026	Alfred Reich	Dual Williams
969	11 • 136543 + 2012	7290	Jun 2022	Florian Piesker
970	Sm2(2367) / 8240252132454151823354614566346645 ; See complete expression	7288	May 2026	Youcef Lemsafer	Smarandache base 2 cofactor
971	(1743251 − 1) / 173	7282	Jun 2022	Florian Piesker	Generalized repunit
972	(8 • 107254 − 53) / 9	7254	Apr 2026	Anonymous	Near repdigit
973	983641 − 99	7251	Jan 2026	Alfred Reich	Dual Williams
974	19882193 − 21931988	7234	Jul 2023	Florian Piesker	Leyland minus-form
975	(16831# + 1) / 42012052913	7231	May 2026	Jiahao He	Primorial plus cofactor
976	21632164 − 21642163	7218	Jul 2023	Florian Piesker	Leyland minus-form
977	(5 • 304883 + 401) / 29	7213	Jun 2022	Florian Piesker
978	107203 + 8049	7204	Aug 2024	Alfred Reich
979	(107200 − 1) / 9 − 10620	7200	Jul 2024	Alfred Reich	Near repunit
980	(107200 − 1) / 9 − 104584	7200	Jul 2024	Alfred Reich	Near repunit
981	2992906 + 298	7195	Mar 2026	Alfred Reich	Dual Williams
982	(36549 • 364619 − 289) / 35	7192	Dec 2022	Florian Piesker
983	12192324 − 23241219	7172	Jul 2023	Florian Piesker	Leyland minus-form
984	(7 • 107163 − 61) / 9	7163	Apr 2026	Anonymous	Near repdigit
985	3282847 − 2847328	7163	Jul 2023	Florian Piesker	Leyland minus-form
986	(31092048 + 1) / 2	7153	Jun 2026	Jiahao He	Generalized half-Fermat     new
987	1203440 + 119	7153	Mar 2026	Alfred Reich	Dual Williams
988	2882907 + 287	7150	Mar 2026	Alfred Reich	Dual Williams
989	(8632423 − 1) / 862	7112	May 2023	Tom Wu	Generalized repunit
990	(314957 + 1) / 1483315759467807874109351530756	7107	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
991	15152234 − 22341515	7106	Jul 2023	Florian Piesker	Leyland minus-form
992	(979 • 364563 − 629) / 35	7103	Dec 2022	Florian Piesker
993	(4 • 107122 + 17) / 82113205012595611229319	7100	Dec 2022	Youcef Lemsafer
994	(414410 + 40) / 269785789357018487396191933	7086	Nov 2024	Alfred Reich	Dual Williams cofactor
995	(2409! + 1) / 3412969897334266847	7084	Feb 2026	Anonymous	Factorial plus cofactor
996	13812252 − 22521381	7072	Jul 2023	Florian Piesker	Leyland minus-form
997	(7 • 223487 + 1) / 3	7071	Aug 2024	Alfred Reich	Proth cofactor
998	14032246 − 22461403	7069	Jul 2023	Florian Piesker	Leyland minus-form
999	(1493251 − 1) / 148	7063	Jun 2023	Tom Wu	Generalized repunit
1000	(2399! + 1) / 1474177808410384291551082268437	7039	Feb 2026	Anonymous	Factorial plus cofactor
1001	(11 • 107020 − 101) / 9	7021	Oct 2024	Alfred Reich
1002	(89 • 223281 − 1) / 11584437	7004	Sep 2024	Oliver Kruse	Riesel cofactor
1003	107002 + 51159	7003	Aug 2024	Alfred Reich
1004	(19732125 + 21251973) / 6	7002	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
1005	107001 + 301	7002	Dec 2023	U.N.Owen
1006	(143 • 223276 + 1) / 1243550463	7000	Jun 2022	Anonymous	Proth cofactor
1007	(78305 + 131) / 5948061232140505794	7000	Mar 2024	Edwin Hall
1008	(42561969 + 39382128) / 22128 / 28264230669	7000	Mar 2024	Edwin Hall
1009	(107000 + 546) / 2	7000	Sep 2023	U.N.Owen
1010	(35 • 107007 − 53) / 961231689	7000	May 2026	Anonymous
1011	14983 • (149841763 − 1) / (1498443 − 1) / (1498441 − 1) / 5711006133239723	7000	Mar 2024	Edwin Hall	Generalized repunit cofactor
1012	(6582487 + 2487658) / 4307646419	7000	Nov 2024	Alfred Reich	Leyland plus-form cofactor
1013	(11 • 107000 + 61) / 63	7000	Dec 2022	Youcef Lemsafer
1014	106999 + 1868862621093	7000	Sep 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1015	106999 + 1868862621091	7000	Sep 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1016	106999 + 1868862621087	7000	Sep 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1017	106999 + 1141791245443	7000	Aug 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1018	106999 + 1141791245439	7000	Aug 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1019	106999 + 1141791245437	7000	Aug 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1020	2083019 + 207	6999	Mar 2026	Alfred Reich	Dual Williams
1021	106998 + 699817 + 1710	6999	Jan 2023	Youcef Lemsafer
1022	9552348 − 2348955	6998	Jul 2023	Florian Piesker	Leyland minus-form
1023	1923064 + 191	6997	Mar 2026	Alfred Reich	Dual Williams
1024	2133004 + 212	6995	Mar 2026	Alfred Reich	Dual Williams
1025	(514096 + 144096) / 114689	6990	Jan 2023	Youcef Lemsafer
1026	2622889 + 261	6987	Mar 2026	Alfred Reich	Dual Williams
1027	106966 + 54967	6967	Aug 2024	Alfred Reich
1028	404348 + 39	6966	Mar 2026	Alfred Reich	Dual Williams
1029	274864 + 26	6963	Mar 2026	Alfred Reich	Dual Williams
1030	593930 − 393059	6960	Jul 2023	Florian Piesker	Leyland minus-form
1031	(35 • 106954 − 593) / 9	6955	Jan 2023	Florian Piesker
1032	(20032107 − 21072003) / 227032	6952	Sep 2024	Anonymous	Leyland minus-form cofactor
1033	1563169 − 1553169	6951	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
1034	1433214 + 142	6928	Mar 2026	Alfred Reich	Dual Williams
1035	(27 • 1353250 − 1) / 2	6925	May 2022	Ryan S. Propper
1036	(4 • 106923 − 1) / 3	6924	Nov 2022	Anonymous
1037	2902802 + 289	6900	Mar 2026	Alfred Reich	Dual Williams
1038	16732138 − 21381673	6892	Jul 2023	Florian Piesker	Leyland minus-form
1039	1243288 + 123	6884	Mar 2026	Alfred Reich	Dual Williams
1040	723704 + 71	6880	Mar 2026	Alfred Reich	Dual Williams
1041	1972996 + 196	6875	Mar 2026	Alfred Reich	Dual Williams
1042	17692112 − 21121769	6860	Jul 2023	Florian Piesker	Leyland minus-form
1043	16152138 − 21381615	6860	Jul 2023	Florian Piesker	Leyland minus-form
1044	9662297 − 2297966	6857	Jul 2023	Florian Piesker	Leyland minus-form
1045	2132944 − 2944213	6855	Jul 2023	Florian Piesker	Leyland minus-form
1046	523991 + 51	6849	Mar 2026	Alfred Reich	Dual Williams
1047	(11 • 1753048 − 1) / 2	6838	Jun 2022	Florian Piesker
1048	16352126 − 21261635	6832	Jul 2023	Florian Piesker	Leyland minus-form
1049	(17 • 106812 + 7) / 3	6813	Aug 2023	Markus Tervooren
1050	(21172048 + 1) / 2	6811	Aug 2022	Florian Piesker	Generalized half-Fermat
1051	1393175 + 138	6805	Mar 2026	Alfred Reich	Dual Williams
1052	4482565 − 2565448	6801	Jul 2023	Florian Piesker	Leyland minus-form
1053	6752401 + 674	6794	May 2026	Alfred Reich	Dual Williams
1054	(106786 − 1) / 9 − 102992	6786	Aug 2024	Alfred Reich	Near repunit
1055	106784 − 8387	6784	Aug 2024	Alfred Reich
1056	4252580 + 424	6782	May 2026	Alfred Reich	Dual Williams
1057	1373169 − 1363169	6772	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
1058	7002379 − 2379700	6769	Jul 2023	Florian Piesker	Leyland minus-form
1059	5702456 + 569	6769	May 2026	Alfred Reich	Dual Williams
1060	(8878 • 106763 − 1) / 3	6767	Dec 2022	Florian Piesker
1061	18952064 − 20641895/	6765	Jul 2023	Florian Piesker	Leyland minus-form
1062	(68707 + 1) / 39913890895403104540916291	6750	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
1063	1023359 − 3359102	6747	Jul 2023	Florian Piesker	Leyland minus-form
1064	(3112707 + 1) / 312	6746	Jun 2022	Florian Piesker	Generalized Wagstaff
1065	87446 + 7	6725	Feb 2026	Alfred Reich	Dual Williams
1066	(16138 • 106711 − 1) / 9	6715	Dec 2022	Florian Piesker
1067	4442530 + 443	6698	May 2026	Alfred Reich	Dual Williams
1068	254 • 412 + 254 − 1	6698	May 2026	Alfred Reich	Dual Williams
1069	8852268 + 884	6684	May 2026	Alfred Reich	Dual Williams
1070	11642179 − 21791164	6681	Jul 2023	Florian Piesker	Leyland minus-form
1071	5702424 + 569	6681	May 2026	Alfred Reich	Dual Williams
1072	4302536 + 429	6679	May 2026	Alfred Reich	Dual Williams
1073	(414138 + 40) / 4579	6671	Nov 2024	Alfred Reich	Dual Williams cofactor
1074	(3602609 − 1) / 359	6667	Jun 2022	Florian Piesker	Generalized repunit
1075	224959 + 21	6658	Mar 2026	Alfred Reich	Dual Williams
1076	3662595 + 365	6653	Mar 2026	Alfred Reich	Dual Williams
1077	7652306 − 2306765	6650	Jul 2023	Florian Piesker	Leyland minus-form
1078	10192208 − 22081019	6643	Jul 2023	Florian Piesker	Leyland minus-form
1079	7652302 + 764	6639	May 2026	Alfred Reich	Dual Williams
1080	313904 − 139043	6634	Jul 2023	Florian Piesker	Leyland minus-form
1081	18392032 − 20321839	6634	Jul 2023	Florian Piesker	Leyland minus-form
1082	3752576 − 2576375	6631	Jul 2023	Florian Piesker	Leyland minus-form
1083	(963343 − 1) / 95	6625	Jun 2022	Florian Piesker	Generalized repunit
1084	8232271 + 822	6621	May 2026	Alfred Reich	Dual Williams
1085	3002671 + 299	6617	Mar 2026	Alfred Reich	Dual Williams
1086	2852692 + 284	6609	Mar 2026	Alfred Reich	Dual Williams
1087	(2263! − 1) / 73175686297086403	6595	Feb 2026	Anonymous	Factorial minus cofactor
1088	414088 − 408841	6594	Jul 2023	Florian Piesker	Leyland minus-form
1089	3582574 + 357	6574	May 2026	Alfred Reich	Dual Williams
1090	7112302 − 2302711	6566	Jul 2023	Florian Piesker	Leyland minus-form
1091	1043251 − 3251104	6558	Jul 2023	Florian Piesker	Leyland minus-form
1092	14682067 − 20671468	6546	Jul 2023	Florian Piesker	Leyland minus-form
1093	3732542 + 372	6538	May 2026	Alfred Reich	Dual Williams
1094	7492270 − 2270749	6526	Jul 2023	Florian Piesker	Leyland minus-form
1095	9742181 − 2181974	6519	Jul 2023	Florian Piesker	Leyland minus-form
1096	1423025 + 141	6511	Feb 2026	Alfred Reich	Dual Williams
1097	(106504 − 1) / 9 − 101979	6504	May 2025	Tengfei Wang	Near repunit
1098	126008 + 11	6484	Feb 2026	Alfred Reich	Dual Williams
1099	1053207 + 104	6482	Feb 2026	Alfred Reich	Dual Williams
1100	8482208 + 847	6466	May 2026	Alfred Reich	Dual Williams
1101	1762879 − 1752879	6465	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
1102	(24591907 − 1) / 2458	6463	Jun 2023	Tom Wu	Generalized repunit
1103	5492358 + 548	6460	May 2026	Alfred Reich	Dual Williams
1104	1502964 + 149	6450	Feb 2026	Alfred Reich	Dual Williams
1105	15152026 − 20261515	6444	Jul 2023	Florian Piesker	Leyland minus-form
1106	(28 • 106441 + 521) / 9	6442	Jan 2023	Florian Piesker
1107	5102377 + 509	6436	May 2026	Alfred Reich	Dual Williams
1108	1223083 − 116166	6433	Jun 2026	Ryan S. Propper	Generalized Mersenne     new
1109	7832220 + 782	6425	May 2026	Alfred Reich	Dual Williams
1110	1482949 − 2949148	6401	Jul 2023	Florian Piesker	Leyland minus-form
1111	2552653 + 254	6385	Mar 2026	Alfred Reich	Dual Williams
1112	7342222 + 733	6368	May 2026	Alfred Reich	Dual Williams
1113	(77577 + 1) / 25503753010544086902592043488124072824	6366	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
1114	6042286 + 603	6358	May 2026	Alfred Reich	Dual Williams
1115	(4232417 + 1) / 424	6346	Jun 2022	Florian Piesker	Generalized Wagstaff
1116	See PrimePages for more informations	6338	Aug 2025	Serge Batalov	Part of CHG-proof of   Lehmer primitive part
1117	106333 + 15501	6334	Aug 2024	Alfred Reich
1118	See complete expression	6333	Jul 2024	Alfred Reich	Generalized repunit cofactor
1119	106332 + 9757	6333	Aug 2024	Alfred Reich
1120	(2272687 − 1) / 226	6329	May 2023	Anonymous	Generalized repunit
1121	3522484 + 351	6326	May 2026	Alfred Reich	Dual Williams
1122	240 • 525 + (240 − 1)	6322	May 2026	Alfred Reich	Dual Williams
1123	(49 • 221007 − 1) / 2064228473	6317	Jul 2024	Alfred Reich	Riesel cofactor
1124	(313241 − 213241) / 8818507	6311	Jun 2026	Jiahao He	Generalized Mersenne cofactor     new
1125	6202258 + 619	6306	May 2026	Alfred Reich	Dual Williams
1126	4942334 + 493	6288	May 2026	Alfred Reich	Dual Williams
1127	1332960 + 132	6287	Mar 2026	Alfred Reich	Dual Williams
1128	503699 − 369950	6285	Jul 2023	Florian Piesker	Leyland minus-form
1129	2052718 + 204	6284	Mar 2026	Alfred Reich	Dual Williams
1130	(1372939 − 1) / 136	6278	Jun 2023	Tom Wu	Generalized repunit
1131	1882750 + 187	6254	Mar 2026	Alfred Reich	Dual Williams
1132	(29811800 − 602981) / 173	6252	Feb 2023	Youcef Lemsafer
1133	M(20963) / 81379832959403149463770156281732303005429401341649326070070825294890913	6240	Jul 2025	Florian Baur	Mersenne cofactor
1134	2382618 + 237	6222	Mar 2026	Alfred Reich	Dual Williams
1135	5314411086 + 531440	6218	Mar 2026	Alfred Reich	Dual Williams
1136	1582828 + 157	6218	Mar 2026	Alfred Reich	Dual Williams
1137	2152662 + 214	6209	Mar 2026	Alfred Reich	Dual Williams
1138	6212218 + 620	6196	May 2026	Alfred Reich	Dual Williams
1139	693368 + 68	6194	Mar 2026	Alfred Reich	Dual Williams
1140	2942509 − 2509294	6194	Jul 2023	Florian Piesker	Leyland minus-form
1141	9882064 + 987	6182	May 2026	Alfred Reich	Dual Williams
1142	20 • 264366 + 473	6180	Dec 2022	Florian Piesker
1143	(106177 − 1) / 9 − 102921	6177	Jun 2026	Jiahao He	Near repunit     new
1144	3492424 − 2424349	6164	Jul 2023	Florian Piesker	Leyland minus-form
1145	5662236 + 565	6156	May 2026	Alfred Reich	Dual Williams
1146	3892376 + 388	6154	May 2026	Alfred Reich	Dual Williams
1147	6492188 + 648	6154	May 2026	Alfred Reich	Dual Williams
1148	7762128 + 775	6150	May 2026	Alfred Reich	Dual Williams
1149	2602546 + 259	6149	Mar 2026	Alfred Reich	Dual Williams
1150	9212073 + 920	6145	May 2026	Alfred Reich	Dual Williams
1151	(123 • 220466 − 1) / 3502570762954150661	6145	Sep 2024	Anonymous	Riesel cofactor
1152	(3 • 220447 − 1) / 203923863859	6145	Sep 2024	Anonymous	Riesel cofactor
1153	(167 • 220440 − 1) / 566444958433	6144	Sep 2024	Anonymous	Riesel cofactor
1154	(242 • 284241 − 4679) / 9	6139	Jun 2022	Florian Piesker
1155	25 • 363934 − 901	6124	Jun 2022	Florian Piesker
1156	1782720 + 177	6122	Mar 2026	Alfred Reich	Dual Williams
1157	3892360 − 2360389	6113	Jul 2023	Florian Piesker	Leyland minus-form
1158	(673347 − 1) / 66	6111	Jun 2023	Tom Wu	Generalized repunit
1159	(4 • 363926 + 941) / 35	6110	Dec 2022	Florian Piesker
1160	6012198 + 600	6108	May 2026	Alfred Reich	Dual Williams
1161	(1762719 − 1) / 175	6104	Feb 2026	Alfred Reich	Generalized repunit
1162	3432558 + 242	6103	Feb 2026	Alfred Reich	Dual Williams
1163	(743257 − 1) / 73	6087	Sep 2025	Tom Wu	Generalized repunit
1164	4302311 + 429	6086	May 2026	Alfred Reich	Dual Williams
1165	(220219 + 3) / 262297	6082	Jul 2026	Jiahao He	new
1166	(5152243 − 1) / 514	6080	Jun 2022	Florian Piesker	Generalized repunit
1167	(16306 • 106068 − 7) / 9	6072	Jul 2022	Florian Piesker
1168	5882192 + 587	6071	May 2026	Alfred Reich	Dual Williams
1169	(2842473 − 1) / 283	6065	Jun 2022	Florian Piesker	Generalized repunit
1170	(6772143 − 1) / 676	6064	Sep 2025	Tom Wu	Generalized repunit
1171	(2392549 − 1) / 238	6061	Sep 2025	Tom Wu	Generalized repunit
1172	2632504 + 262	6060	Feb 2026	Alfred Reich	Dual Williams
1173	4282300 + 427	6053	May 2026	Alfred Reich	Dual Williams
1174	(1802683 − 1) / 179	6049	Sep 2025	Tom Wu	Generalized repunit
1175	(1342843 − 1) / 133	6046	Sep 2024	Alfred Reich	Generalized repunit
1176	106043 − 15119	6043	Aug 2024	Alfred Reich
1177	106042 + 8167	6043	Aug 2024	Alfred Reich
1178	7052121 + 704	6042	May 2026	Alfred Reich	Dual Williams
1179	2542510 + 253	6037	Feb 2026	Alfred Reich	Dual Williams
1180	(67793 − 1) / 52650742795870502208021425088290165	6030	Oct 2024	Jiahao He	Generalized repunit cofactor
1181	1992622 − 2622199	6028	Jul 2023	Florian Piesker	Leyland minus-form
1182	219999 + 5127869884059	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1183	219999 + 5127869884055	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1184	219999 + 368935649081	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1185	219999 + 368935649079	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1186	219999 + 368935649075	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1187	219999 + 168863243	6021	Jul 2023	Oliver Kruse	Part of smallest 20000-bit prime twin
1188	219999 + 168863241	6021	Jul 2023	Oliver Kruse	Part of smallest 20000-bit prime twin
1189	219999 + 3191	6021	Jul 2023	Oliver Kruse	Smallest 20000-bit prime
1190	20141821 − 1821	6017	May 2026	Jiahao He	Dual Woodall
1191	1152918 + 114	6014	Feb 2026	Alfred Reich	Dual Williams
1192	106012 + 313	6013	May 2025	Tengfei Wang
1193	(1732687 − 1) / 172	6012	Aug 2022	Florian Piesker	Generalized repunit
1194	(106008 − 1) / 9 − 10162	6008	May 2025	Tengfei Wang	Near repunit
1195	(111 • 219949 − 1) / 113	6006	Nov 2024	Alfred Reich	Riesel cofactor
1196	2352532 + 234	6004	Feb 2026	Alfred Reich	Dual Williams
1197	(17551853 + 18531755) / 1132708784	6003	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
1198	(115801 + 1) / 806106541271920844262715684835860141812	6003	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
1199	(106009 − 845) / 124737605	6001	Feb 2023	Anonymous
1200	See complete expression	6001	Apr 2025	Anonymous
1201	See complete expression	6000	Apr 2025	Anonymous
1202	(150751438 + 1) / 227255626	6000	Apr 2024	Anonymous
1203	(77100 − 39) / 2	6000	Oct 2023	Anonymous
1204	(130362187 + 1) / (13036729 + 1)	6000	Dec 2024	Alfred Reich
1205	(197541399 + 1) / 6743507535	6000	Jun 2026	Jiahao He	Generalized Wagstaff cofactor     new
1206	(77111 + 841) / 5610416576	6000	Feb 2024	Edwin Hall
1207	See complete expression	6000	Oct 2024	Alfred Reich	Generalized repunit cofactor
1208	See complete expression	6000	Feb 2024	Anonymous
1209	473588 + 66	6000	Nov 2024	Alfred Reich
1210	(77 • 219969 − 1) / 50829469734861	6000	Jun 2022	Anonymous	Riesel cofactor
1211	(61 • 106015 + 11) / 263147076898997931	6000	Dec 2022	Florian Piesker
1212	See complete expression	6000	Feb 2024	Edwin Hall	Generalized repunit cofactor
1213	See complete expression	6000	Feb 2024	Edwin Hall
1214	(116651478 + 1) / 402365572282	6000	Nov 2024	Alfred Reich
1215	(2082! + 78913586303) / 50631443	6000	Mar 2024	Edwin Hall
1216	(2086! + 86258 − 1) / 971991237346582294359	6000	Jan 2026	Alfred Reich
1217	(58482 + 264241) / 51	6000	Dec 2022	Frank Doornink
1218	(77115 + 751) / 48265657103978	6000	Feb 2024	Edwin Hall
1219	(219938 − 7) / 669	6000	Jul 2024	Alfred Reich
1220	Φ(23,−1822764)	6000	Jun 2026	Jiahao He	Unique     new
1221	(106050 − 518) / 837059097353974734781606790587421200913200733463406	6000	Feb 2024	Edwin Hall
1222	(77119 + 450) / 156413412894410789	6000	Feb 2024	Edwin Hall
1223	105999 + 30913	6000	Jan 2026	Oliver Kruse	2nd smallest 6000 digit prime