Last updated: 06 July 2026

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