Last updated: 06 October 2026

Proven primes with at least 6000 digits ( via CM ) Total: 1226
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	p(3000484833)	61012	Sep 2026	Greg Childers	Partitions     new
6	3125330 + 1253303	59798	Dec 2022	Greg Childers	Leyland plus-form
7	Lucas(277273) / 11090921	57940	May 2026	Greg Childers	Lucas cofactor
8	Τ(1994518)	57125	Sep 2022	Andreas Enge	Ramanujan tau function
9	2176177 + 60947	53035	Oct 2025	Maia Karpovich	Dual Sierpinski Problem
10	M(174533) / 17794804010102394541862377900092223173807310609	52494	Nov 2022	Paul Underwood	Mersenne cofactor
11	(94017581 − 1) / 939	52268	Jan 2025	Ryan S. Propper	Generalized repunit
12	p(2100982676)	51053	Aug 2026	Greg Childers	Partitions     new
13	p(2100412931)	51046	Jul 2026	Greg Childers	Partitions
14	1050000 + 65859	50001	May 2022	Andreas Enge	Smallest 50001-digit prime
15	M(157457) / 1651348995090599153173927	47376	Jan 2026	Oliver Kruse	Mersenne cofactor
16	M(151013) / 61157791169561859593299975690769	45428	Sep 2025	Paul Underwood	Mersenne cofactor
17	2148227 + 60443	44621	Dec 2024	Maia Karpovich	Dual Sierpinski Problem
18	Fib(208519) / 140875424305897	43564	Jul 2026	Greg Childers	Fibonacci cofactor
19	(2141079 + 1) / 3	42469	Oct 2025	Paul Underwood	Wagstaff
20	Lucas(202667)	42355	Nov 2023	Greg Childers	Lucas
21	See PrimePages for more informations	42229	Oct 2025	Serge Batalov; Ryan Propper	Part of BLS-proof of   Lehmer number
22	2139964 + 35461	42134	Oct 2024	Maia Karpovich	Dual Sierpinski Problem
23	Fib(201107)	42029	Sep 2023	Maia Karpovich	Fibonacci number
24	− E(12146) / 1226039954339	41943	Aug 2025	Serge Batalov	Euler irregular
25	(2138937 + 1) / 3	41824	Oct 2023	Andreas Enge; Paul Underwood	Wagstaff
26	M(136883) / 536581361	41198	Aug 2025	Paul Underwood	Mersenne cofactor
27	E(11848) / 7910215	40792	Aug 2022	David Broadhurst; Paul Underwood	Euler irregular
28	Lucas(193201)	40377	Dec 2023	Greg Childers	Lucas
29	1040000 + 14253	40001	Jun 2022	Andreas Enge	Smallest 40001-digit prime
30	M(132929) / 2054179601105776846215055956722560390485432904126229271473	39959	Jan 2026	Oliver Kruse	Mersenne cofactor
31	M(130439) / 260879	39261	Feb 2023	Alan Mock	Mersenne cofactor
32	Τ(474176)	38404	Jun 2022	Andreas Enge	Ramanujan tau function
33	Lucas(183089)	38264	Dec 2023	Greg Childers	Lucas
34	(2127031 + 1) / 3	38240	Jan 2023	Paul Underwood	Wagstaff
35	(34 • 1037957 − 61) / 9	37958	Dec 2025	Jason Parker-Burlingham	Quasi-repdigit
36	Fib(179689) / 359377	37547	May 2026	Greg Childers	Fibonacci cofactor
37	378296 + 782963	37357	Jul 2022	Greg Childers	Leyland plus-form
38	Φ(13875,124750) / 14963669110546259757220673451001	36661	Sep 2024	Tom Wu	Part of BLS primality Proof of   (12475027751 − 1) / 124749
39	6320018 + 2001863	36020	Jan 2023	Greg Childers	Leyland plus-form
40	2119087 − 1190872	35849	Mar 2024	Tengfei Wang	Leyland minus-form
41	(2117239 + 1) / 3	35292	Jul 2022	Ryan S. Propper	Wagstaff
42	p(1000007396)	35219	Aug 2022	Greg Childers	Partitions
43	1864754598 • Bern(12306) / 7988337402668760859	35160	Jul 2025	Serge Batalov	Irregular
44	See complete expression	35085	Nov 2025	Maia Karpovich	3rd prime p , where tan(p) > p
45	239487993 − 239477993	35003	May 2026	Anonymous	Generalized Mersenne
46	9 • 1034838 + 7	34839	Aug 2023	Markus Tervooren
47	E(10168) / 1097239206089665	34323	Oct 2023	Frank Doornink	Euler irregular
48	Φ(717, − 1072)	34273	Aug 2025	Serge Batalov	Unique
49	Lucas(159521)	33338	Nov 2023	Greg Childers	Lucas
50	Φ(12345,92365) / 382141463174433542855941	32630	Jun 2024	Tom Wu	Part of BLS primality Proof of   (9236524691 − 1) / 92364
51	(1825667 − 1) / 17	32218	Jun 2022	Paul Underwood	Generalized repunit
52	Φ(34051, − 10)	32033	Aug 2025	Serge Batalov	Unique
53	2105789 + 48527	31846	Oct 2023	Maia Karpovich	Dual Sierpinski Problem
54	Φ(23023, − 100)	31681	Aug 2025	Serge Batalov	Unique
55	M(105269) /   151888973648615898448098254186003467843831193426357780775029327271885867309638591059561	31603	Sep 2024	Serge Batalov	Mersenne cofactor
56	Φ(4613, − 108)	31585	Aug 2025	Serge Batalov	Unique
57	Φ(10295, − 104)	31360	Aug 2025	Serge Batalov	Unique
58	2104095 + 7013	31336	Oct 2023	Maia Karpovich	Dual Sierpinski Problem
59	2103766 + 17659	31237	Apr 2023	Maia Karpovich	Dual Sierpinski Problem
60	− E(9266) / 2129452307358569777	30900	May 2023	Frank Doornink	Euler irregular
61	Φ(11589, − 104)	30897	Oct 2022	Serge Batalov	Unique
62	6402 ∑ (n-th prime)n  n=1	30763	Jan 2026	Oliver Kruse	Sum (n-th prime)n
63	Lucas(145703) / 179214691	30442	Nov 2023	Greg Childers	Lucas cofactor
64	Lucas(145193) / 38621339	30336	Nov 2023	Greg Childers	Lucas cofactor
65	(7116384 + 1) / 2	30331	Apr 2023	Alan Mock	Generalized half-Fermat
66	17013451 − 13451170	30002	Mar 2024	Tengfei Wang	Leyland minus-form
67	Φ(36547, − 10)	29832	Jun 2022	Serge Batalov	Unique
68	299069 + 990692	29823	Jun 2022	Greg Childers	Leyland plus-form
69	Φ(18756,58425)	29744	Sep 2025	Tom Wu	Part of BLS primality Proof of   (5842518757 − 1) / 58424
70	See PrimePages for more informations	29210	Oct 2025	Serge Batalov; Ryan S. Propper	Lehmer primitive part prime
71	1029028 − 2 • 108312 − 1	29028	Jul 2025	Tengfei Wang	Near repdigit
72	Fib(138449) / 722703781	28925	Mar 2026	Greg Childers	Fibonacci cofactor
73	Φ(21960,102936) / 5017642938047862206894175676419044635657201	28830	Jul 2024	Tom Wu	Part of BLS primality Proof of   (10293621961 − 1) / 102935
74	Lucas(137483) / 297756567358709	28718	May 2026	Serge Batalov	Lucas cofactor
75	1922182 − 2218219	28366	May 2025	Tengfei Wang	Leyland minus-form
76	(1111111102 • 1028243 − 1) / 9	28252	Apr 2024	Tengfei Wang
77	Fib(135221) / 240836845308529927941202189034491397	28224	Mar 2026	Greg Childers	Fibonacci cofactor
78	Φ(8553,74968) / 12199774257779118942571063	27762	Sep 2025	Tom Wu	Part of BLS primality Proof of   (7496817107 − 1) / 74967
79	Lucas(132647) / 13578619295354715892634059	27697	May 2026	Serge Batalov	Lucas cofactor
80	Fib(132409) / 2882138154561602271737	27651	Aug 2024	Serge Batalov	Fibonacci cofactor
81	30111061 + 300	27416	Feb 2026	Alfred Reich	Dual Williams
82	70877087 + 1616	27289	Jun 2025	Tengfei Wang	Lifchitz plus-form
83	9 • 1026725 + 7	26726	Aug 2023	Markus Tervooren
84	See PrimePages for more informations	26668	Sep 2025	Serge Batalov; Ryan Propper	Part of CHG-proof of   Lehmer number
85	Τ(1572206)	26643	Jul 2022	Greg Childers	Ramanujan tau function
86	288071 + 88071	26513	Jun 2025	Tengfei Wang	Dual Cullen prime
87	M(87691) / 806957040167570408395443233	26371	Nov 2022	Serge Batalov	Mersenne cofactor
88	1026045 − 3	26045	Jan 2024	U.N.Owen	Near repdigit
89	(11 • 1026000 − 17) / 3	26001	Aug 2022	Florian Piesker
90	M(86371) / 41681512921035887	25984	Jun 2022	Ryan S. Propper	Mersenne cofactor
91	− E(7894) / 19	25790	May 2023	Frank Doornink	Euler irregular
92	Lucas(122869) / 50429766416459430193411	25656	Apr 2024	Serge Batalov	Lucas cofactor
93	primU(183537)	25571	Oct 2024	Serge Batalov	Fibonacci primitive part
94	2119304 − 1930421	25525	Feb 2024	Tengfei Wang	Leyland minus-form
95	7391 ( ∑ n! ) / 99   n=1	25385	Jan 2026	Oliver Kruse	Sum factorial cofactor
96	Fib(120937) / 3311205867595743073258613	25250	Apr 2024	Serge Batalov	Fibonacci cofactor
97	Fib(120847) / 801583206855072663577903717598265772863698229236258027166465876287487690977	25181	May 2026	Serge Batalov	Fibonacci cofactor
98	20927579 + 75792092	25167	Oct 2023	Anonymous	Leyland plus-form
99	51226753 + 67535122	25050	May 2022	Greg Childers	Leyland plus-form
100	primV(194181)	24908	Oct 2024	Serge Batalov	Lucas primitive part
101	Lucas(119162) / 3	24903	Oct 2024	Serge Batalov	Lucas cofactor
102	− E(7634) / 1559	24828	May 2023	Frank Doornink	Euler irregular
103	primU(118319)	24553	Oct 2024	Serge Batalov	Fibonacci primitive part
104	Fib(117167) / 17658707237	24476	Apr 2024	Serge Batalov	Fibonacci cofactor
105	Lucas(116593) / 120790349	24359	Nov 2023	Greg Childers	Lucas cofactor
106	(1520593 + 1) / 1317968	24214	Jul 2026	Michael Porter	Generalized Wagstaff cofactor
107	280307 − 803072	24175	Jan 2024	Tengfei Wang	Leyland minus-form
108	primV(214470)	23895	Oct 2024	Serge Batalov	Lucas primitive part
109	primU(115373)	23875	Oct 2024	Serge Batalov	Fibonacci primitive part
110	primU(135421)	23725	Oct 2024	Serge Batalov	Fibonacci primitive part
111	primV(143234)	23654	Oct 2024	Serge Batalov	Lucas primitive part
112	M(78737) / 1590296767505866614563328548192658003295567890593	23654	May 2022	Ryan S. Propper	Mersenne cofactor
113	primU(164185)	23524	Oct 2024	Serge Batalov	Fibonacci primitive part
114	20097104 − 71042009	23465	Jun 2025	Tengfei Wang	Leyland minus-form
115	See complete expression	23429	Jun 2022	Andreas Enge
116	20127043 − 70432012	23268	May 2025	Tengfei Wang	Leyland minus-form
117	primU(166737)	23231	Oct 2024	Serge Batalov	Fibonacci primitive part
118	See PrimePages for more informations	23130	Sep 2025	Serge Batalov; Ryan Propper	Part of BLS-proof of   Lehmer number
119	primA(275285)	23012	Mar 2024	Serge Batalov	Lucas Aurifeuillian primitive part
120	primV(110723)	22997	Oct 2024	Serge Batalov	Lucas primitive part
121	(1022973 + 53) / 9	22973	Mar 2024	U.N.Owen	Near repunit
122	(34 • 1022925 − 61) / 9	22926	Jul 2025	Jason Parker-Burlingham
123	primV(180906)	22905	Sep 2024	Serge Batalov	Lucas primitive part
124	1022822 − 1063 − 1	22822	Mar 2026	Serge Batalov	Near Repdigit; Prime / Emirp
125	923840 − 238409	22750	Jan 2024	Tengfei Wang	Leyland minus-form
126	(32569 • 2615921 + 21) / 5	22532	Mar 2023	Florian Piesker
127	Fib(106663) / 35892566541651557	22275	Apr 2024	Serge Batalov	Fibonacci cofactor
128	348054 • Bern(8286) / 1570865077944473903275073668721	22234	Dec 2022	Serge Batalov	Irregular
129	p(398256632)	22223	Apr 2022	Serge Batalov	Partitions
130	Fib(105509) / 144118801533126010445795676378394340544227572822879081	21997	Jul 2022	Serge Batalov	Fibonacci cofactor
131	9911006 + 1100699	21964	Sep 2024	Oliver Kruse	Leyland plus-form
132	1021873 − 3	21873	Aug 2022	Markus Tervooren	Near repdigit
133	3314398 − 1439833	21864	May 2025	Tengfei Wang	Leyland minus-form
134	primB(282035)	21758	Oct 2023	Serge Batalov	Lucas Aurifeuillian primitive part
135	primA(276335)	21736	Mar 2024	Serge Batalov	Lucas Aurifeuillian primitive part
136	1021717 + 7	21718	Apr 2024	U.N.Owen
137	primV(154281)	21495	Nov 2023	Greg Childers	Lucas primitive part
138	(3131 • 271216 − 11) / 15	21441	Jul 2022	Florian Piesker
139	primA(296695)	21137	Oct 2023	Serge Batalov	Lucas Aurifeuillian primitive part
140	primA(413205)	21127	Sep 2023	Serge Batalov	Lucas Aurifeuillian primitive part
141	269999 + 35583	21072	Aug 2023	Frank Doornink	Smallest 70000-bit prime
142	57612705200181 • 269801 + 5	21026	Jan 2026	Serge Batalov	Part of a prime triplet
143	p(355646102)	21000	Jul 2022	Serge Batalov	Partitions
144	(1120161 − 1) / 10	20995	Jun 2022	Florian Piesker	Generalized repunit
145	14 • 1916415 + 381	20992	Jun 2022	Florian Piesker
146	(730985 + 1) / (76197 + 1) / 107869208339862414181	20929	Oct 2026	Michael Porter	Generalized Wagstaff cofactor     new
147	Lucas(100417) /   7130429037791016075118087990532064354948544338847967474370719436805470448849	20911	Apr 2024	Serge Batalov	Lucas cofactor
148	p(350199893)	20838	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
149	1299820 + 9820129	20726	Sep 2024	Oliver Kruse	Leyland plus-form
150	primU(102689)	20715	Sep 2024	Serge Batalov	Fibonacci primitive part
151	primU(105821)	20598	Sep 2022	Serge Batalov	Fibonacci primitive part
152	((((((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
153	(343063 − 1) / 2	20546	Nov 2023	Anonymous	Generalized repunit
154	primU(172179)	20540	Sep 2022	Serge Batalov	Fibonacci primitive part
155	Lucas(98081) / 84490439013599359615894385176643888515853963025217237339	20442	Apr 2024	Serge Batalov	Lucas cofactor
156	See PrimePages for more informations	20401	Oct 2025	Serge Batalov; Ryan Propper	Part of CHG-proof of   Lehmer number
157	Τ(412296)	20367	Jun 2022	Greg Childers	Ramanujan tau function
158	19986137 − 61371998	20256	Feb 2024	Tengfei Wang	Leyland minus-form
159	(3567937 + 1) / 357	20249	Jul 2022	Florian Piesker	Generalized Wagstaff
160	4404139952163 • 267002 − 5	20183	Jul 2024	Serge Batalov	Part of a prime triplet
161	primV(112028)	20063	May 2022	Serge Batalov	Lucas primitive part
162	53705370 + 44114411	20030	May 2024	Oliver Kruse	Lifchitz plus-form
163	26685841 + 58412668	20013	Dec 2022	Greg Childers	Leyland plus-form
164	(1020004 − 1) / 9 − 10228	20004	May 2025	Tengfei Wang	Near repunit
165	1020000 + 56149	20001	Nov 2024	U.N.Owen	Smallest 20001-digit prime
166	p(322610098)	20000	Jun 2022	Serge Batalov	Partitions
167	266436 + 18181	20000	Jul 2022	Florian Piesker
168	1019999 + 1514722611	20000	Jun 2022	Paul Underwood	Part of the smallest   20000-digit twin prime
169	1019999 + 1514722609	20000	Jun 2022	Paul Underwood	Part of the smallest   20000-digit twin prime
170	1019999 + 110949	20000	Jun 2022	Paul Underwood	Smallest 20000-digit prime
171	primV(151521)	19863	Jun 2022	Serge Batalov	Lucas primitive part
172	See complete expression	19849	Sep 2026	Anonymous	Mersenne cofactor     new
173	(9006659 + 1) / 901	19670	Aug 2026	Michael Porter	Generalized Wagstaff     new
174	(224664493 + 1) / 22467	19548	Jun 2026	Michael Porter	Generalized Wagstaff
175	264773 − 647732	19499	Jan 2024	Tengfei Wang	Leyland minus-form
176	39585411 + 54113958	19466	May 2022	Greg Childers	Leyland plus-form
177	(5824! − 1) / 1078163	19396	Apr 2026	Anonymous	Factorial minus cofactor
178	M(66497) / M (2293) / 7140061530624311	19312	Sep 2025	Alex Kruppa	Mersenne cofactor
179	M(64381) / 18252318785612645711774019109285438988204922542528174996118699181907547497	19308	Apr 2024	Serge Batalov	Mersenne cofactor
180	Lucas(91943) / 12774901180031755171852992299	19187	Jul 2022	Serge Batalov	Lucas cofactor
181	(V(428,1,8019) − 1) / (V(428,1,729) − 1)	19184	Jun 2022	Serge Batalov	Lehmer primitive part
182	Lucas(91873) / 119273493071598409455551351	19175	Jul 2022	Serge Batalov	Lucas cofactor
183	(2 • 1019153 + 691) / 9	19153	Jun 2022	Greg Childers
184	primU(137439)	19148	Jun 2022	Serge Batalov	Fibonacci primitive part
185	⌊(π • 1019176)⌋ % (1019128)	19128	Feb 2023	Oliver Kruse	String in Pi
186	primU(107779)	18980	May 2022	Serge Batalov	Fibonacci primitive part
187	( U(162,1,8581) + U(162,1,8580) ) / ( U(162,1,66) + U(162,1,65) )	18814	Jun 2022	Serge Batalov	Lehmer primitive part
188	See complete expression	18718	Jun 2022	Andreas Enge
189	(82 • 1018592 − 1) / 9	18593	Aug 2023	Markus Tervooren	Near repunit
190	( U(859,1,6385) − U(859,1,6384) ) / ( U(859,1,57) − U(859,1,56) )	18567	Jun 2022	Serge Batalov	Lehmer primitive part
191	(505 • 1018470 − 1) / 9	18472	Jun 2022	Florian Piesker
192	primB(220895)	18465	Jun 2022	Serge Batalov	Lucas Aurifeuillian primitive part
193	1748192 + 1218192	18355	Jan 2023	Youcef Lemsafer
194	primV(153279)	18283	May 2022	Serge Batalov	Lucas primitive part
195	See complete expression	18192	Aug 2025	Alex Kruppa	Mersenne cofactor of M(123435)
196	See complete expression	18190	Jul 2025	Alex Kruppa	Cyclotomic polynomial cofactor   of M(242730)
197	(721520 + 41) / 6	18186	Dec 2022	Florian Piesker	Near repdigit in base 7
198	(10504 • 1018178 − 1) / 9	18182	Apr 2023	Florian Piesker
199	(34 • 1018155 − 7) / 9	18156	Jan 2026	Anonymous
200	259999 + 26453	18062	Oct 2023	Frank Doornink	Smallest 60000-bit prime
201	259395 − 593952	17880	May 2025	Tengfei Wang	Leyland minus-form
202	primB(235015)	17856	May 2022	Serge Batalov	Lucas Aurifeuillian primitive part
203	(1737 • 525415 − 1) / 4	17767	Oct 2022	Anonymous
204	1017753 + 3	17754	Mar 2024	U.N.Owen
205	(3407001 + 1) / 341	17721	Jul 2022	Florian Piesker	Generalized Wagstaff
206	primV(148197)	17696	May 2022	Serge Batalov	Lucas primitive part
207	((236656 + 1)2 + 3) / ((27332 + 1)2 + 3) / 151	17653	Mar 2025	Alex Kruppa
208	918494 − 184949	17648	Jan 2024	Tengfei Wang	Leyland minus-form
209	(336913 − 1) / 2	17612	Dec 2022	Florian Piesker	Generalized repunit
210	( V(447,1,6723) + 1 ) / ( V(447,1,81) + 1 )	17604	Jun 2022	Serge Batalov	Lehmer primitive part
211	(79 • 739339 − 1) / 6	17403	Jul 2022	Florian Piesker
212	1017343 + 777	17344	Dec 2023	U.N.Owen
213	primV(169830)	17335	May 2022	Serge Batalov	Lucas primitive part
214	257285 + 572852	17245	Jun 2022	Greg Childers	Leyland plus-form
215	720366 − 203667	17212	Jan 2024	Tengfei Wang	Leyland minus-form
216	(257146 + 228573 + 1) / 1057378152607	17191	Oct 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(171438)
217	(3816659 + 1) / 382	17184	Jul 2022	Florian Piesker	Generalized Wagstaff
218	( V(1578,1,5589) + 1 ) / ( V(1578,1,243) + 1 )	17098	Jun 2022	Serge Batalov	Lehmer primitive part
219	M(19) • M(60287) / M(3173) / M(361)	17091	Sep 2024	Alex Kruppa	Mersenne cofactor of M(60287)
220	(176874003 − 1) / 17686	17000	Mar 2024	Edwin Hall	Generalized repunit
221	primV(101510)	16970	May 2022	Serge Batalov	Lucas primitive part
222	(1016922 − 91) / 9	16922	May 2025	Tengfei Wang	Near repunit
223	(17 • 1016918 + 7) / 3	16919	Aug 2023	Markus Tervooren
224	(3186733 + 1) / 319	16847	Jul 2022	Florian Piesker	Generalized Wagstaff
225	See complete expression	16734	Jun 2022	Andreas Enge
226	See complete expression	16716	Sep 2024	Alex Kruppa	Mersenne cofactor of M(69625)
227	(17 • 1016628 + 7) / 3	16629	Aug 2023	Markus Tervooren
228	(V(1240,1,5589) − 1) / (V(1240,1,243) − 1)	16538	Jun 2022	Serge Batalov	Lehmer primitive part
229	primA(201485)	16535	May 2022	Serge Batalov	Lucas Aurifeuillian primitive part
230	( U(800,1,5725) − U(800,1,5724) ) / ( U(800,1,54) − U(800,1,53) )	16464	Jun 2022	Serge Batalov	Lehmer primitive part
231	708853 − 885370	16335	Jun 2025	Tengfei Wang	Leyland minus-form
232	17484430616589 • 254201 + 5	16330	Jun 2024	Serge Batalov	Part of a CPAP-3; d = 6
233	17484430616589 • 254201 − 7	16330	Jun 2024	Serge Batalov	Part of a CPAP-3; d = 6
234	(4984! + 1) / 12823	16263	Mar 2026	Anonymous	Factorial plus cofactor
235	(1427537 + 1) / 143	16220	Jul 2022	Florian Piesker	Generalized Wagstaff
236	primB(225785)	16176	May 2022	Serge Batalov	Lucas Aurifeuillian primitive part
237	(1214951 − 1) / 11	16134	Aug 2022	Florian Piesker	Generalized repunit
238	(11023 • 1016097 − 1) / 3	16101	May 2023	Florian Piesker
239	1016076 + 67	16077	Nov 2023	U.N.Owen
240	(25453 • 1015998 − 1) / 9	16002	Apr 2023	Florian Piesker
241	(4695987 − 1) / 468	15990	Jul 2022	Florian Piesker	Generalized repunit
242	(85 • 252665 − 1) / 578045658449	15844	Jun 2026	Michael Porter
243	19194818 − 48181919	15818	May 2025	Tengfei Wang	Leyland minus-form
244	(19 • 620238 + 2501) / 35	15748	Apr 2023	Florian Piesker
245	36574400 + 44003657	15678	Oct 2023	Anonymous	Leyland plus-form
246	See complete expression	15587	Aug 2025	Alex Kruppa
247	See complete expression	15587	Aug 2024	Alex Kruppa	Mersenne cofactor of M(64165)
248	(619889 − 1) / 5	15476	Aug 2022	Florian Piesker	Generalized repunit
249	See complete expression	15450	Apr 2023	Youcef Lemsafer	Generalized repunit cofactor
250	(17 • 1015448 + 7) / 3	15449	Aug 2023	Markus Tervooren
251	(718251 + 1) / 8	15423	Aug 2022	Anonymous	Generalized Wagstaff
252	22484537 + 45372248	15208	Aug 2022	Greg Childers	Leyland plus-form
253	1015103 − 63987	15103	Nov 2023	U.N.Owen
254	26384405 + 44052638	15071	May 2022	Greg Childers	Leyland plus-form
255	249999 + 24783	15052	Jul 2023	Maia Karpovich	Smallest 50000-bit prime
256	14534752 − 47521453	15028	Feb 2024	Florian Piesker	Leyland minus-form
257	39114180 + 41803911	15016	Dec 2022	Greg Childers	Leyland plus-form
258	(31794291 − 42913179) / 8886701589272771624	15010	Apr 2024	Markus Tervooren	Leyland minus-form cofactor
259	(3010159 + 1) / 31	15005	May 2026	Michael Porter	Generalized Wagstaff
260	(14774734 + 47341477) / 53	15003	Apr 2023	Youcef Lemsafer	Leyland plus-form cofactor
261	(210983952048 + 1) / 2	15000	Mar 2024	Edwin Hall	Generalized half-Fermat
262	(41474147 + 2022) / 5435	15000	Mar 2024	Edwin Hall
263	( V(1212,1,4887) + 1) / ( V(1212,1,27) + 1 )	14986	Jun 2022	Serge Batalov	Lehmer primitive part
264	(1506883 + 1) / 151	14976	Jun 2022	Florian Piesker	Generalized Wagstaff
265	1077372 + 7372107	14961	Oct 2023	Ryan S. Propper	Leyland plus-form
266	17164613 + 46131716	14921	Nov 2023	Ryan S. Propper	Leyland plus-form
267	3455876 + 5876345	14913	Nov 2023	Ryan S. Propper	Leyland plus-form
268	11594866 + 48661159	14910	Nov 2023	Anonymous	Leyland plus-form
269	(4616! + 1) / 3774283	14906	Mar 2026	Anonymous	Factorial plus cofactor
270	5128801 + 8015128	14890	Oct 2025	Ryan S. Propper	Leyland plus-form
271	((231 − 1)1597 − 1) / (231 − 2) / 634021777	14885	Jun 2022	Greg Childers
272	3765755 + 5755376	14821	Nov 2023	Anonymous	Leyland plus-form
273	17154558 + 45581715	14742	Nov 2023	Anonymous	Leyland plus-form
274	( V(696,1,5211) + 1 ) / ( V(696,1,27) + 1 )	14737	Jun 2022	Serge Batalov	Lehmer primitive part
275	19454476 + 44761945	14722	Nov 2023	Anonymous	Leyland plus-form
276	3815698 + 5698381	14707	Nov 2023	Anonymous	Leyland plus-form
277	See complete expression	14703	Jun 2022	Greg Childers
278	10874840 + 48401087	14696	Nov 2023	Anonymous	Leyland plus-form
279	33484163 + 41633348	14674	Jan 2024	Ryan S. Propper	Leyland plus-form
280	16374554 + 45541637	14637	Jan 2024	Ryan S. Propper	Leyland plus-form
281	φ(17003,10) / 215414318848365482017888228389199	14500	Sep 2024	Alfred Reich	Cyclotomic polynomial cofactor   of R(17003)
282	27724211 + 42112772	14498	Jan 2024	Ryan S. Propper	Leyland plus-form
283	40224022 + 20252025	14498	Jun 2025	Tengfei Wang	Lifchitz plus-form
284	(117514072048 + 1) / 2	14480	Nov 2024	Alfred Reich	Generalized half-Fermat
285	25804241 + 42412580	14469	Jan 2024	Ryan S. Propper	Leyland plus-form
286	424019 − 324019	14461	Oct 2025	Ryan S. Propper	Generalized Mersenne
287	8164949 + 4949816	14410	Jan 2024	Ryan S. Propper	Leyland plus-form
288	p(158221457)	14404	Jul 2022	Serge Batalov	Partitions
289	19914342 + 43421991	14325	Oct 2023	Ryan S. Propper	Leyland plus-form
290	19164359 + 43591916	14308	Oct 2023	Ryan S. Propper	Leyland plus-form
291	917300 + 730091	14302	Oct 2023	Anonymous	Leyland plus-form
292	See complete expression	14297	Aug 2024	Alex Kruppa	Mersenne cofactor of M(52193)
293	1113674 − 1367411	14241	Jan 2024	Tengfei Wang	Leyland plus-form
294	p(158931035)	14036	May 2026	Serge Batalov	Partitions
295	p(158917403)	14035	May 2026	Serge Batalov	Partitions
296	See complete expression	14035	Aug 2024	Alex Kruppa	Mersenne cofactor of M(93195)
297	p(158898550)	14034	May 2026	Serge Batalov	Partitions
298	p(158788742)	14029	May 2026	Serge Batalov	Partitions
299	p(158635927)	14022	May 2026	Serge Batalov	Partitions
300	p(158569348)	14020	May 2026	Serge Batalov	Partitions
301	38 • (1014032 + 61) / 210606316076673	14020	Apr 2023	Youcef Lemsafer
302	p(158507386)	14017	May 2026	Serge Batalov	Partitions
303	p(158447043)	14014	May 2026	Serge Batalov	Partitions
304	p(158430002)	14013	May 2026	Serge Batalov	Partitions
305	p(158381443)	14011	May 2026	Serge Batalov	Partitions
306	p(158375386)	14011	Jul 2022	Serge Batalov	Partitions
307	p(158295265)	14007	Jul 2022	Serge Batalov	Partitions
308	21544153 + 41532154	13843	May 2022	Paul Leyland	Leyland plus-form
309	686303773648831000 + 68630377364882	13837	Apr 2026	Alfred Reich	Dual Williams
310	1013808 + 32791	13809	Aug 2024	Alfred Reich
311	See complete expression	13786	Aug 2024	Alex Kruppa	Mersenne cofactor of M(58315)
312	11 • (245616 + 1) / 3	13733	Jun 2022	Florian Piesker
313	(5045059 + 1) / 505	13669	Jun 2022	Florian Piesker	Generalized Wagstaff
314	13354364 + 43641335	13640	Jan 2023	Greg Childers	Leyland plus-form
315	26073976 + 39762607	13583	Jan 2023	Greg Childers	Leyland plus-form
316	4995026 + 5026499	13561	Jan 2023	Greg Childers	Leyland plus-form
317	916918 + 691891	13553	Jan 2023	Greg Childers	Leyland plus-form
318	(4233! + 1) / 326022408531457943	13498	Mar 2026	Anonymous	Factorial plus cofactor
319	17274162 + 41621727	13474	Jan 2023	Greg Childers	Leyland plus-form
320	23613992 + 39922361	13466	Jan 2023	Greg Childers	Leyland plus-form
321	29853874 + 38742985	13462	Jan 2023	Greg Childers	Leyland plus-form
322	1036682 + 6682103	13450	Jan 2023	Greg Childers	Leyland plus-form
323	10934414 + 44141093	13413	Jan 2023	Greg Childers	Leyland plus-form
324	(4215101 + 1) / 422	13384	Jun 2022	Florian Piesker	Generalized Wagstaff
325	2295670 + 5670229	13381	Jan 2023	Greg Childers	Leyland plus-form
326	2245685 + 5685224	13362	Jan 2023	Greg Childers	Leyland plus-form
327	Lucas(64063) / 464426465381142115542697818362662865912299	13347	Aug 2024	Serge Batalov	Lucas cofactor
328	See complete expression	13343	Aug 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(180090)
329	p(141528106)	13244	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
330	p(141513546)	13244	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
331	p(141512238)	13244	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
332	1935792 − 5792193	13238	Feb 2023	Youcef Lemsafer	Leyland minus-form
333	p(141255053)	13232	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
334	M(44431) / M(283) / M(157) / 430619564833	13231	Aug 2024	Alex Kruppa	Mersenne cofactor
335	6694682 + 4682669	13229	Jan 2023	Greg Childers	Leyland plus-form
336	p(141150528)	13227	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
337	p(141112026)	13225	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
338	p(141111278)	13225	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
339	See complete expression	13217	Aug 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(133962)
340	p(140859260)	13213	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
341	p(140807155)	13211	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
342	p(140791396)	13210	Jul 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
343	p(140760498)	13208	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
344	p(140710320)	13206	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
345	See complete expression	13202	Sep 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(134034)
346	p(140593907)	13201	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
347	p(140560280)	13199	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
348	p(140552343)	13199	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
349	p(140535370)	13198	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
350	p(140533925)	13198	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
351	p(140519816)	13197	Jun 2022	Charles H (Chuck) Lasher;   David Broadhurst; Paul Underwood	Partitions
352	25723867 + 38672572	13188	Jan 2023	Greg Childers	Leyland plus-form
353	19244015 + 40151924	13187	Jan 2023	Greg Childers	Leyland plus-form
354	See complete expression	13186	Nov 2024	Alfred Reich
355	1013172 + 22947	13173	Aug 2024	Alfred Reich
356	1013170 + 2697	13171	Aug 2024	Alfred Reich
357	1013162 + 87729	13163	Aug 2024	Alfred Reich
358	1013161 + 51729	13162	Aug 2024	Alfred Reich
359	1013160 + 11161	13161	Aug 2024	Alfred Reich
360	1013159 + 1807	13160	Aug 2024	Alfred Reich
361	29323789 + 37892932	13138	Jan 2023	Greg Childers	Leyland plus-form
362	34293712 + 37123429	13123	Dec 2022	Anonymous	Leyland plus-form
363	4614926 + 4926461	13122	Dec 2022	Anonymous	Leyland plus-form
364	25803841 + 38412580	13105	Dec 2022	Florian Piesker	Leyland plus-form
365	(243502 + 221751 + 1) / 71426334276062353	13079	Aug 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(130506)
366	See complete expression	13007	Oct 2024	Alfred Reich	Leyland minus-form cofactor
367	1013002 − 8 • 108 − 1	13002	Dec 2023	U.N.Owen	Near repdigit
368	24453836 + 38362445	12998	Dec 2022	Greg Childers	Leyland plus-form
369	21093908 + 39082109	12991	Dec 2022	Greg Childers	Leyland plus-form
370	17783993 + 39931778	12977	Aug 2022	Greg Childers	Leyland plus-form
371	See complete expression	12947	Aug 2024	Alex Kruppa	Mersenne cofactor of M(67235)
372	21073894 + 38942107	12943	Aug 2022	Greg Childers	Leyland plus-form
373	(50233491 − 1) / 35068626	12913	Mar 2023	Youcef Lemsafer	Generalized repunit cofactor
374	14674076 + 40761467	12907	Jul 2022	Greg Childers	Leyland plus-form
375	Sm10(3506) / 7937021247923634 ; See complete expression	12901	Jan 2023	Youcef Lemsafer	Smarandache base 10 cofactor
376	10274278 + 42781027	12884	Jul 2022	Greg Childers	Leyland plus-form
377	1595852 + 5852159	12883	Jul 2022	Greg Childers	Leyland plus-form
378	(242737 + 1) / 3	12865	May 2022	Greg Childers	Wagstaff
379	primV(97240) / 2054798130239231521	12822	Feb 2026	Paul Underwood	Lucas primitive part
380	See complete expression	12814	Aug 2024	Alex Kruppa	Mersenne cofactor of M(48127)
381	20953858 + 38582095	12814	Jul 2022	Greg Childers	Leyland plus-form
382	(367 • 715118 − 1) / 6	12778	Jun 2022	Florian Piesker	Near redigit in base 7
383	(326633 + 1) / 4	12707	Aug 2022	Florian Piesker	Generalized Wagstaff
384	242210 + 91549	12707	Mar 2023	Anonymous
385	(77 • 1012720 − 41) / 80794157024576083501251	12699	Mar 2023	Youcef Lemsafer
386	(3499 • 1012689 − 1) / 3	12693	Apr 2023	Florian Piesker
387	16893926 + 39261689	12672	Jul 2022	Greg Childers	Leyland plus-form
388	24823729 + 37292482	12660	Jul 2022	Greg Childers	Leyland plus-form
389	(4994691 − 1) / 498	12655	Jun 2022	Florian Piesker	Generalized repunit
390	2575248 + 5248257	12648	Jul 2022	Greg Childers	Leyland plus-form
391	M(53977) / M(701) / M(7711) / M(4907) / M(77) • 259969	12644	Jul 2024	Alex Kruppa	Mersenne cofactor of M(53977)
392	13784023 + 40231378	12630	Jul 2022	Greg Childers	Leyland plus-form
393	(26383687 + 36872638) / 530650435937411	12600	Mar 2023	Youcef Lemsafer	Leyland plus-form cofactor
394	(2055449 + 1) / 206	12595	Jun 2022	Florian Piesker	Generalized Wagstaff
395	(2305333 − 1) / 229	12593	Jun 2022	Florian Piesker	Generalized repunit
396	R(12611) / 151596145122775505868566782271	12581	Sep 2024	Alfred Reich	Repunit cofactor
397	Sm10(3418) / 10541062 ; See complete expression	12558	Jan 2023	Youcef Lemsafer	Smarandache base 10 cofactor
398	(239509 − 1) / (23257 − 1) / 11002902177363902238826201639790642566112031151441	12550	Mar 2023	Youcef Lemsafer	Generalized repunit cofactor
399	(241614 + 220807 + 1) / 231896371365555042937	12507	Jul 2024	Alex Kruppa
400	(8 • 1012527 − 11) / 66426466217992706366987547351	12500	Feb 2023	Youcef Lemsafer
401	26133650 + 36502613	12473	Jul 2022	Greg Childers	Leyland plus-form
402	35123512 + 33	12452	May 2025	Tengfei Wang	Lifchitz plus-form
403	10504096 + 10134096	12375	Jan 2023	Youcef Lemsafer
404	30523543 + 35433052	12346	May 2022	Greg Childers	Leyland plus-form
405	23893646 + 36462389	12317	May 2022	Greg Childers	Leyland plus-form
406	25773602 + 36022577	12287	May 2022	Greg Childers	Leyland plus-form
407	31723507 + 35073172	12280	May 2022	Greg Childers	Leyland plus-form
408	13253924 + 39241325	12252	May 2022	Greg Childers	Leyland plus-form
409	(1211353 +1) / 13	12251	Aug 2022	Florian Piesker	Generalized Wagstaff
410	(23671 • 1012192 − 1) / 9	12196	Apr 2022	Florian Piesker
411	M(55495) / M(11099) / M(5045) • M(1009) / 567767102431	12138	Jul 2024	Alex Kruppa	Mersenne cofactor of M(55495)
412	5354444 + 4444535	12125	May 2022	Greg Childers	Leyland plus-form
413	239999 + 18065	12041	Jul 2023	Oliver Kruse	Smallest 40000-bit prime
414	239999 + 1411862541	12041	Oct 2023	Frank Doornink	Part of smallest 40000-bit prime twin
415	239999 + 1411862543	12041	Oct 2023	Frank Doornink	Part of smallest 40000-bit prime twin
416	(714221 − 1) / 6	12018	Aug 2022	Florian Piesker	Generalized repunit
417	1012000 − 11319	12000	Dec 2023	U.N.Owen	Largest 12000 digit prime
418	397542 − 98	12000	Mar 2024	Edwin Hall
419	(2235110 − 405) / 4	12000	Mar 2024	Edwin Hall
420	417440 + 952	12000	Mar 2024	Edwin Hall
421	1011999 + 76621	12000	Oct 2023	U.N.Owen
422	1011999 + 72577	12000	Jan 2023	Frank Doornink
423	1011999 + 12757	12000	Jan 2024	U.N.Owen	Smallest 12000 digit prime
424	M(42991) / M(3307) / M(13)	11943	Jul 2024	Alex Kruppa	Mersenne cofactor of M(42991)
425	30703423 + 34233070	11937	May 2022	Greg Childers	Leyland plus-form
426	976006 − 600697	11933	Apr 2025	Tengfei Wang	Leyland minus-form
427	(886 • 199291 − 1) / 3	11884	Jun 2022	Florian Piesker
428	1310633 − 50	11845	Jun 2022	Florian Piesker
429	298096 + 10	11840	Jul 2022	Florian Piesker
430	(313 • 324761 − 1) / 2	11817	Jul 2022	Florian Piesker
431	(4589 • 516892 − 1) / 4	11811	Dec 2022	Anonymous
432	3 • 1011799 − 37	11800	Mar 2023	Youcef Lemsafer
433	(22683515 + 35152268) / 787343	11790	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
434	(3752! + 1) / 104478008869009	11770	Mar 2026	Anonymous	Factorial plus cofactor
435	(3732! + 1) / 5504713034011	11700	Feb 2026	Anonymous	Factorial plus cofactor
436	M(58389) / M(19463) / 501545671318332018168553	11695	Jul 2024	Alex Kruppa	Mersenne cofactor of M(58389)
437	14073712 + 37121407	11687	May 2022	Greg Childers	Leyland plus-form
438	25603423 + 34232560	11667	Jun 2022	Greg Childers	Leyland plus-form
439	22483469 + 34692248	11628	Jun 2022	Greg Childers	Leyland plus-form
440	(29153354 + 33542915) / 16793707319901665479	11602	Apr 2023	Youcef Lemsafer	Leyland plus-form cofactor
441	26693378 + 33782669	11575	Jun 2022	Greg Childers	Leyland plus-form
442	(516519 − 1) / 4	11546	Aug 2022	Florian Piesker	Generalized repunit
443	See complete expression	11522	Jul 2024	Alex Kruppa	Mersenne cofactor of M(62439)
444	21973442 + 34422197	11503	Jun 2022	Greg Childers	Leyland plus-form
445	1975000 − 5000197	11473	Sep 2024	Oliver Kruse	Leyland minus-form
446	(22213422 − 34222221) / 11	11451	Dec 2023	U.N.Owen	Leyland minus-form cofactor
447	See complete expression	11377	Sep 2025	Serge Batalov
448	(201 • 1415279 − 1) / 20	11347	Jun 2022	Florian Piesker
449	(4327 • 1011330 − 7) / 9	11333	Jun 2022	Florian Piesker
450	(1110867 − 1) / 10	11316	Aug 2022	Florian Piesker	Generalized repunit
451	15163557 + 35571516	11314	Jun 2022	Greg Childers	Leyland plus-form
452	1137 • 367259 + 19	11301	Apr 2023	Florian Piesker
453	4964189 + 4189496	11292	Jun 2022	Greg Childers	Leyland plus-form
454	9223805 + 3805922	11281	Jun 2022	Greg Childers	Leyland plus-form
455	4724217 + 4217472	11277	Jun 2022	Greg Childers	Leyland plus-form
456	13249 • 248131 − 49	11227	Jun 2022	Florian Piesker
457	7653892 + 3892765	11224	Jun 2022	Paul Leyland	Leyland plus-form
458	19663395 + 33951966	11182	Jun 2022	Greg Childers	Leyland plus-form
459	See complete expression	11155	Jul 2024	Alex Kruppa
460	(19 • 1011149 + 611) / 9	11150	Jul 2024	Alfred Reich
461	M(47435) • M(179) • M(53) • M(5) / M(9487) / M895) / M(265)	11146	Jul 2024	Alex Kruppa	Mersenne cofactor of M(47435)
462	31823182 + 33	11146	May 2025	Tengfei Wang	Lifchitz plus-form
463	29423213 + 32132942	11145	Jun 2022	Greg Childers	Leyland plus-form
464	(3570! + 1) / 1653141738351157	11120	Feb 2026	Anonymous	Factorial plus cofactor
465	(3134451 + 1) / 314	11106	Jun 2022	Florian Piesker	Generalized Wagstaff
466	179021 + 25	11100	Jun 2022	Florian Piesker
467	See complete expression	11064	Aug 2025	Serge Batalov
468	(5034093 − 1) / 502	11055	May 2023	Tom Wu	Generalized repunit
469	(17 • 1011046 + 7) / 3	11047	Aug 2023	Markus Tervooren
470	24823243 + 32432482	11010	May 2022	Greg Childers	Leyland plus-form
471	1011000 + 11973	11001	Jul 2024	Alfred Reich
472	(293869752365940771791281143446653 • 1010968 − 1) / 3	11000	Jun 2026	Anonymous	Prime / Emirp
473	(1011000 + 46652354920208825626736445697937) / 3	11000	Jun 2026	Anonymous	Prime / Emirp
474	1010999 + 24439	11000	Nov 2023	U.N.Owen
475	(133 • 1005496 − 1) / 33	10993	Jun 2022	Florian Piesker
476	12623543 + 35431262	10988	May 2022	Oliver Kruse	Leyland plus-form
477	27813188 + 31882781	10981	May 2022	Oliver Kruse	Leyland plus-form
478	30893142 + 31423089	10966	May 2022	Oliver Kruse	Leyland plus-form
479	13303509 + 35091330	10962	May 2022	Oliver Kruse	Leyland plus-form
480	995488 + 548899	10953	May 2022	Oliver Kruse	Leyland plus-form
481	17663369 + 33691766	10940	May 2022	Oliver Kruse	Leyland plus-form
482	(4794079 + 1) / 480	10931	Jun 2022	Florian Piesker	Generalized Wagstaff
483	5393996 + 3996539	10916	May 2022	Oliver Kruse	Leyland plus-form
484	(64 • 1010906 + 53) / 9	10907	May 2022	Greg Childers	Palindrome
485	M(36433) / 22829723232843819182760759315930113665799992643755857550482474537913	10901	Dec 2025	Oliver Kruse	Mersenne cofactor
486	30703121 + 31213070	10884	May 2022	Oliver Kruse	Leyland plus-form
487	12713502 + 35021271	10871	May 2022	Oliver Kruse	Leyland plus-form
488	(237651 + 1) / (21637 + 1) / 2796203	10835	Jul 2024	Alex Kruppa	Wagstaff cofactor
489	347035 + 703534	10774	May 2022	Greg Childers	Leyland plus-form
490	5793896 + 3896579	10764	May 2022	Oliver Kruse	Leyland plus-form
491	Sm3(3228) / 6690369309511780988346 ; See complete expression	10738	May 2026	Youcef Lemsafer	Smarandache base 3 cofactor
492	286 • 414 + 286 − 1	10718	May 2026	Alfred Reich	Dual Williams
493	21183217 + 32172118	10700	May 2022	Oliver Kruse	Leyland plus-form
494	Lucas(51169)	10694	Jan 2026	Anonymous	Lucas; recertified
495	2984309 + 4309298	10662	May 2022	Oliver Kruse	Leyland plus-form
496	11733470 + 34701173	10651	May 2022	Oliver Kruse	Leyland plus-form
497	292 • 384 + 292 − 1	10635	May 2026	Alfred Reich	Dual Williams
498	17553268 + 32681755	10603	May 2022	Oliver Kruse	Leyland plus-form
499	(19 • 1010613 − 73) / 20376889065137331	10598	Jul 2024	Alfred Reich
500	1010584 + 26191	10585	Aug 2024	Alfred Reich
501	(19 • 1010554 + 341) / 9	10555	Jul 2024	Alfred Reich
502	146462479 • 235001 + 8765	10545	Oct 2025	Paul Underwood	Part of a CPAP-3; d = 8766
503	21193160 + 31602119	10511	May 2022	Oliver Kruse	Leyland plus-form
504	(129739 − 1) / 11	10510	Jul 2022	Florian Piesker	Generalized repunit
505	24473100 + 31002447	10505	May 2022	Oliver Kruse	Leyland plus-form
506	(34 • 1010499 − 61) / 9	10500	Dec 2022	Jason Parker-Burlingham
507	1010470 + 3	10471	Aug 2022	Florian Piesker
508	12093392 + 33921209	10456	May 2022	Greg Childers	Leyland plus-form
509	26613052 − 30522661	10454	Jun 2025	Tengfei Wang	Leyland minus-form
510	29183013 − 30132918	10441	Jun 2025	Tengfei Wang	Leyland minus-form
511	16783225 + 32251678	10400	May 2022	Greg Childers	Leyland plus-form
512	17723201 + 32011772	10399	May 2022	Greg Childers	Leyland plus-form
513	(82 • 1010394 + 71) / 9	10395	Nov 2023	Richard G.	Palindrome
514	19663155 + 31551966	10392	May 2022	Anonymous	Leyland plus-form
515	(2 • 1010391 + 61) / 9	10391	Jan 2023	Florian Baur	Near repdigit
516	(419 • 712274 − 5) / 6	10375	Sep 2022	Florian Piesker
517	1010371 + 24679	10372	Aug 2024	Alfred Reich
518	1010370 + 7891	10371	Aug 2024	Alfred Reich
519	1010369 + 20863	10370	Aug 2024	Alfred Reich
520	27693008 − 30082769	10355	Jun 2025	Tengfei Wang	Leyland minus-form
521	17483193 − 31931748	10354	Feb 2024	Tengfei Wang	Leyland minus-form
522	See complete expression	10350	Jul 2024	Alex Kruppa	Mersenne cofactor of M(47575)
523	24483053 − 30532448	10347	Jun 2025	Tengfei Wang	Leyland minus-form
524	6 • Bern(4306) / 2153	10342	Jun 2022	Greg Childers	Irregular
525	29172982 − 29822917	10333	Jun 2025	Tengfei Wang	Leyland minus-form
526	8513522 + 3522851	10320	May 2022	Paul Leyland	Leyland plus-form
527	See complete expression	10317	Nov 2025	Anonymous	Repunit cofactor of R(40404)
528	2124431 − 4431212	10308	Jun 2023	Florian Piesker	Leyland minus-form
529	See complete expression	10305	May 2024	Richard G.
530	See complete expression	10300	Sep 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(119994)
531	19513128 − 31281951	10292	Jun 2023	Florian Piesker	Leyland minus-form
532	(4341 • 514720 − 1) / 4	10292	Oct 2022	Anonymous
533	(158741 − 1) / 14	10280	Jul 2022	Florian Piesker	Generalized repunit
534	613206 + 217	10277	Feb 2024	Florian Piesker
535	59056921173 • 234030 + 7	10255	Jun 2022	Greg Childers	Part of sexy prime pair
536	6973594 + 3594697	10219	May 2022	Greg Childers	Leyland plus-form
537	10613372 − 33721061	10203	Jun 2023	Florian Piesker	Leyland minus-form
538	(191 • 1055045 + 1) / 8	10199	Jun 2022	Florian Piesker
539	8123505 − 3505812	10198	Jun 2023	Florian Piesker	Leyland minus-form
540	See complete expression	10195	Jul 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(103206)
541	22313042 + 30422231	10187	May 2022	Oliver Kruse	Leyland plus-form
542	24293000 − 30002429	10157	Jun 2023	Florian Piesker	Leyland minus-form
543	15433178 + 31781543	10133	May 2022	Paul Leyland	Leyland plus-form
544	M(42145) / M(8429) / 13604811874892518060205885792305751	10116	Jul 2024	Alex Kruppa	Mersenne cofactor of M(42145)
545	11413308 − 33081141	10114	Jun 2023	Florian Piesker	Leyland minus-form
546	12343265 + 32651234	10094	Jun 2022	Greg Childers	Leyland plus-form
547	Φ(23912,10)	10081	Jun 2022	David Broadhurst	Cyclotomic polynomial cofactor   of R(23912)
548	(29092910 − 29102909) / 41	10078	Jan 2023	Youcef Lemsafer	Leyland minus-form cofactor
549	27392930 + 29302739	10073	Jun 2022	Greg Childers	Leyland plus-form
550	259692281 − 259682281	10069	Jun 2026	Ryan S. Propper	Generalized Mersenne
551	29072907 + 18981898	10069	Dec 2025	Oliver Kruse	Lifchitz plus-form
552	See complete expression	10068	Jul 2024	Alex Kruppa	Cyclotomic polynomial cofactor   of M(117222)
553	7433506 + 742	10066	May 2026	Alfred Reich	Dual Williams
554	2314253 − 2304253	10053	Jun 2026	Ryan S. Propper	Generalized Mersenne
555	789102053 − 789092053	10053	Jun 2026	Ryan S. Propper	Generalized Mersenne
556	8083456 + 807	10049	May 2026	Alfred Reich	Dual Williams
557	2072644824759 • 233333 + 5	10047	Jun 2022	Greg Childers	Part of first known gigantic prime   triplet; re-certified via CM
558	3783896 + 377	10042	May 2026	Alfred Reich	Dual Williams
559	6483571 + 3571648	10041	May 2022	Greg Childers	Leyland plus-form
560	6843538 + 683	10031	May 2026	Alfred Reich	Dual Williams
561	769832053 − 769822053	10031	Jun 2026	Ryan S. Propper	Generalized Mersenne
562	769472053 − 769462053	10030	Jun 2026	Ryan S. Propper	Generalized Mersenne
563	19813042 − 30421981	10030	May 2023	Anonymous	Leyland minus-form
564	763942053 − 763932053	10024	Jun 2026	Ryan S. Propper	Generalized Mersenne
565	(3262! + 1) / 3091890367590330237362029	10022	Feb 2026	Anonymous	Factorial plus cofactor
566	915115 + 90	10021	May 2026	Alfred Reich	Dual Williams
567	1010020 + 16657	10021	Aug 2024	Alfred Reich
568	See complete expression	10020	May 2026	Anonymous
569	See complete expression	10020	May 2026	Anonymous
570	1010020 − 237	10020	Aug 2024	Alfred Reich
571	28942894 + 20532053	10018	May 2024	Oliver Kruse	Leyland plus-form
572	8313430 + 830	10015	May 2026	Alfred Reich	Dual Williams
573	(61 • 1010016 − 7) / 5193	10015	Jul 2026	Anonymous
574	See complete expression	10014	Jul 2024	Alex Kruppa	Mersenne cofactor of M(42679)
575	(44 • 1010021 − 71) / 4788509679	10013	Jul 2026	Anonymous
576	244992281 − 244982281	10011	Jun 2026	Ryan S. Propper	Generalized Mersenne
577	(69032609 − 1) / 3997631498	10007	May 2026	Michael Porter	Generalized repunit cofactor
578	(1213911 − 1) / (124637 − 1) / 157	10007	May 2026	Michael Porter	Generalized repunit cofactor
579	(45 • 233283 − 1) / 2265199868100403	10006	May 2026	Michael Porter	Riesel cofactor
580	(71 • 233238 − 1) / 109	10006	May 2026	Michael Porter	Riesel cofactor
581	(1098 • 2394211 + 1) / 12688219834129	10006	May 2026	Michael Porter	Generalized Proth cofactor
582	(186292347 + 1) / 80942219296714530	10006	May 2026	Michael Porter	Generalized Wagstaff cofactor
583	(96132518 + 1) / 423844875449528964456890	10006	May 2026	Michael Porter
584	(185112351 − 1) / 4987222285699423705427686770	10006	May 2026	Michael Porter	Generalized repunit cofactor
585	(138999 + 1) / 58926919603466247634	10005	May 2026	Michael Porter	Generalized Wagstaff cofactor
586	(73142593 − 1) / 1752533160363107	10005	May 2026	Michael Porter	Generalized repunit cofactor
587	(84692549 − 1) / 43178332	10005	May 2026	Michael Porter	Generalized repunit cofactor
588	(135622426 + 1) / 877117813951457959945	10005	May 2026	Michael Porter
589	(1034 • 2394211 + 1) / 241143046561091	10005	May 2026	Michael Porter
590	(79 • 233263 − 1) / 115516295447	10004	May 2026	Michael Porter	Riesel cofactor
591	(162222381 − 1) / 702336971660428797573	10004	Apr 2026	Michael Porter	Generalized repunit cofactor
592	(111342473 − 1) / 11133	10004	May 2026	Michael Porter	Generalized repunit
593	(74 • 1010017 − 1) / 7003079578422563	10004	May 2026	Michael Porter
594	(10491721663 + 1) / 1049173	10003	May 2026	Michael Porter	Generalized Wagstaff cofactor
595	(39 • 233291 − 1) / 371972862859286220829	10003	Apr 2026	Michael Porter	Riesel cofactor
596	(125232446 + 1) / 286050143722457924330	10003	Apr 2026	Michael Porter
597	(48782713 − 1) / 4877	10003	Apr 2026	Michael Porter	Generalized repunit
598	(128902437 + 1) / 167222679108477	10003	May 2026	Michael Porter	Generalized Wagstaff cofactor
599	746152053 − 746142053	10003	Jun 2026	Ryan S. Propper	Generalized Mersenne
600	(127 • 233220 − 1) / 3	10002	Apr 2026	Michael Porter	Riesel cofactor
601	(191 • 233262 − 1) / 26524711363663	10002	Apr 2026	Michael Porter	Riesel cofactor
602	(55 • 233282 − 1) / 19295840380197014631	10002	Apr 2026	Michael Porter	Riesel cofactor
603	(76542579 + 1) / 1730325449096005	10002	May 2026	Michael Porter	Generalized Wagstaff cofactor
604	515857 − 505857	10002	Apr 2025	Anonymous	Generalized Mersenne
605	(58262659 − 1) / 94295059225	10002	Apr 2026	Michael Porter	Generalized repunit cofactor
606	(111592474 + 1) / 6161536516642	10002	Apr 2026	Michael Porter
607	1010001 + 28331593	10002	May 2024	Anonymous
608	(46062731 + 1) / 4607	10001	Apr 2026	Michael Porter	Generalized Wagstaff
609	(33238 • 233239 + 1) / 4104169815	10001	Apr 2026	Michael Porter	Near Cullen cofactor
610	(197852333 − 1) / 34638852192398078083384	10001	Apr 2026	Michael Porter
611	(52 • 1010000 + 11) / 9	10001	Mar 2023	Youcef Lemsafer
612	(133572428 + 1) / 31829931492483602	10001	Apr 2026	Michael Porter
613	(73 • 233241 + 1) / 61024593	10001	Apr 2026	Michael Porter	Proth cofactor
614	(153122393 + 1) / 225232767773903	10001	Apr 2026	Michael Porter	Generalized Wagstaff cofactor
615	(137782417 + 1) / 13779	10001	Apr 2026	Michael Porter	Generalized Wagstaff
616	12843217 − 12833217	10001	Apr 2025	Anonymous	Generalized Mersenne
617	1010000 + 1017363	10001	Aug 2024	Alfred Reich
618	1010000 + 165031	10001	Aug 2024	Alfred Reich
619	1010000 + 65277	10001	Oct 2023	U.N.Owen
620	1010000 + 28579	10001	Oct 2023	U.N.Owen
621	1010000 − 22403	10000	Aug 2024	Alfred Reich
622	1010000 − 47717	10000	Aug 2024	Alfred Reich
623	1010000 − 65403	10000	Jan 2026	Alfred Reich
624	1010000 − 322497	10000	Sep 2024	Alfred Reich
625	894297 • 109994 + 711826	10000	Aug 2024	Alfred Reich
626	233219 − 52545	10000	Jul 2024	Alfred Reich
627	(46572732 + 1) / 2516045064327004328914	10000	Apr 2026	Michael Porter
628	(82302558 + 1) / 6158727069636769	10000	Apr 2026	Anonymous
629	631101 • 109994 + 711826	10000	Aug 2024	Alfred Reich
630	Fib(47850) + 20841	10000	Dec 2023	Tengfei Wang
631	(237371 + 397) / 41745703454270394607773342228304835316	10000	Jul 2024	Alfred Reich
632	(237344 + 231) / 8	10000	Jul 2022	Florian Piesker
633	(114952467 − 1) / 536935319091017126	10000	Apr 2026	Anonymous	Generalized repunit cofactor
634	299667 • 109994 + 711826	10000	Aug 2024	Alfred Reich
635	240708 • 109994 + 711826	10000	Aug 2024	Alfred Reich
636	233217 + 111	10000	May 2022	Anonymous
637	233217 − 721155	10000	Mar 2024	Edwin Hall
638	See complete expression	10000	Aug 2024	Alfred Reich
639	See complete expression	10000	Aug 2024	Alfred Reich	Leyland plus-form cofactor
640	Fib(47847) + 26679	10000	Jul 2024	Alfred Reich
641	(1010000 − 1) / 9 + 7 • 10885	10000	Aug 2024	Alfred Reich	Near repunit
642	233216 + 281577	10000	Mar 2023	Youcef Lemsafer
643	((11476 • 1035 + 4113)256 + 1) / 2	10000	Aug 2024	Alfred Reich	Generalized half-Fermat
644	(33875430588693130699512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
645	(33875430588693094381512 + 1) / 2	10000	Aug 2024	Alfred Reich	Generalized half-Fermat
646	(33875430588693072115512 + 1) / 2	10000	Apr 2026	Anonymous	Generalized half-Fermat
647	(33875430588693069661512 + 1) / 2	10000	Apr 2026	Anonymous	Generalized half-Fermat
648	(33875430588693069511512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
649	(33875430588693064859512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
650	(33875430588693062819512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
651	(33875430588693060889512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
652	(33875430588693060787512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
653	(33875430588693059443512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
654	(33875430588693058083512 + 1) / 2	10000	Feb 2026	Anonymous	Generalized half-Fermat
655	(33875430588693055871512 + 1) / 2	10000	Aug 2024	Alfred Reich	Generalized half-Fermat
656	1309747264300589758110032419673347620959731068338635399869049806286716959555931128 + 2	10000	Aug 2024	Alfred Reich
657	10 • (104999 + 520488)2 + 7	10000	Aug 2024	Alfred Reich
658	10 • (104999 + 517910)2 + 7	10000	Aug 2024	Alfred Reich
659	10 • (104999 + 86414)2 + 7	10000	Aug 2024	Alfred Reich
660	109999 + 1527231836097	10000	Mar 2026	Anonymous
661	109999 + 21870245691511147257	10000	Jul 2024	Alfred Reich
662	109999 + 7066834558999	10000	Aug 2024	Alfred Reich
663	109999 + 274366375363	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 2, 6
664	109999 + 274366375359	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 2, 6
665	109999 + 274366375357	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 2, 6
666	109999 + 194011932123	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 4, 6
667	109999 + 194011932121	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 4, 6
668	109999 + 194011932117	10000	Jun 2023	Oliver Kruse	Part of the smallest gigantic triplet   to pattern d = 0, 4, 6
669	109999 + 11147257	10000	May 2022	Anonymous
670	109999 + 780199	10000	Jul 2024	Alfred Reich
671	109999 + 78571	10000	Nov 2024	Alfred Reich
672	109999 + 70999	10000	Oct 2023	U.N.Owen
673	(109999 + 1253) / 3	9999	Jul 2024	Alfred Reich
674	22522981 − 29812252	9995	Jun 2023	Florian Piesker	Leyland minus-form
675	(52 • 109998 − 43) / 4035281193	9991	Mar 2023	Youcef Lemsafer
676	p(80036992)	9958	Feb 2026	Paul Underwood	Partitions   Recertified
677	(997 • 320847 − 1) / 2	9950	Jul 2022	Florian Piesker
678	(3 • 1074900 − 1) / 2	9945	Jun 2023	Florian Piesker
679	7383467 − 3467738	9944	Jun 2023	Florian Piesker	Leyland minus-form
680	See complete expression	9935	Jul 2024	Alex Kruppa	Mersenne cofactor of M(40411)
681	(82 • 109931 + 53) / 9	9932	Mar 2023	Youcef Lemsafer
682	14583139 − 31391458	9932	Jun 2023	Florian Piesker	Leyland minus-form
683	(4 • 109919 + 9) / 7	9919	Mar 2023	Youcef Lemsafer
684	(109918 − 1) / 9 − 109568	9918	Dec 2022	Youcef Lemsafer	Near repunit
685	27192882 − 28822719	9898	Jun 2023	Florian Piesker	Leyland minus-form
686	11283241 − 32411128	9893	Jun 2023	Florian Piesker	Leyland minus-form
687	(27 • 915048 − 1) / 2	9891	Jun 2022	Florian Piesker
688	27112880 − 28802711	9888	Jun 2023	Florian Piesker	Leyland minus-form
689	2394152 + 238	9876	Mar 2026	Alfred Reich	Dual Williams
690	232767 + 34769	9864	Oct 2023	Maia Karpovich
691	17413042 − 30421741	9859	Jan 2024	Tengfei Wang	Leyland minus-form
692	(19 • 109862 + 89) / 8814321	9857	Jul 2024	Alfred Reich
693	(86 • 109860 + 13) / 1669254641109	9850	Mar 2023	Youcef Lemsafer
694	4033780 − 3780403	9849	Feb 2024	Tengfei Wang	Leyland minus-form
695	232672 − 384539	9836	Mar 2023	Maia Karpovich
696	See complete expression	9800	Apr 2023	Youcef Lemsafer	Generalized Wagstaff cofactor
697	1984255 + 197	9773	Mar 2026	Alfred Reich	Dual Williams
698	3003943 + 299	9768	Mar 2026	Alfred Reich	Dual Williams
699	See complete expression	9750	Apr 2023	Youcef Lemsafer	Generalized repunit cofactor
700	See complete expression	9744	Jul 2024	Alex Kruppa	Mersenne cofactor of M(60765)
701	(839 • 910171 − 7) / 8	9708	Sep 2022	Florian Piesker
702	(14 • 109698 + 1) / 3	9699	Mar 2023	Youcef Lemsafer
703	(513873 − 1) / 4	9697	Jul 2022	Florian Piesker	Generalized repunit
704	1364543 + 135	9693	Mar 2026	Alfred Reich	Dual Williams
705	2584016 + 257	9683	Mar 2026	Alfred Reich	Dual Williams
706	(934903 − 1) / 92	9650	Jul 2022	Florian Piesker	Generalized repunit
707	2833931 + 282	9638	Mar 2026	Alfred Reich	Dual Williams
708	528 • 366178 + 31	9618	Dec 2022	Florian Piesker
709	(77 • 109614 + 31) / 23536898034822153	9600	Feb 2023	Youcef Lemsafer
710	2553987 + 254	9595	Mar 2026	Alfred Reich	Dual Williams
711	415927 + 3	9590	Mar 2026	Alfred Reich	Dual Williams
712	258 • 549 + 258 − 1	9586	May 2026	Alfred Reich	Dual Williams
713	(14 • 109580 + 1) / 3	9581	Apr 2023	Youcef Lemsafer
714	M(33373) / M(1451) / 19878816283502926167695890057664423	9576	Jul 2024	Alex Kruppa	Mersenne cofactor
715	2973859 + 296	9543	Mar 2026	Alfred Reich	Dual Williams
716	207331 − 197331	9538	Jun 2026	Ryan S. Propper	Generalized Mersenne
717	(16 • 109534 − 7) / 9	9535	Apr 2026	Anonymous	Near repdigit
718	((215820 − 1)2 + 3) / 228	9523	Jul 2024	Alex Kruppa
719	(8 • 109507 − 71) / 9	9507	Apr 2026	Anonymous	Near repdigit
720	See complete expression	9502	Jul 2024	Alex Kruppa	Mersenne cofactor of M(42835)
721	16777216^1315+16777215	9501	May 2026	Alfred Reich	Dual Williams
722	1644289 − 1634289	9500	Jun 2026	Ryan S. Propper	Generalized Mersenne
723	(109500 − 1) / 9 − 105303	9500	Mar 2023	Youcef Lemsafer	Near repunit
724	2264035 + 225	9499	Feb 2026	Alfred Reich	Dual Williams
725	585370 + 57	9470	Mar 2026	Alfred Reich	Dual Williams
726	1564316 + 155	9466	Feb 2026	Alfred Reich	Dual Williams
727	109458 + 99	9459	Feb 2026	Alfred Reich	Dual Williams
728	(1994096 + 374096) / 131074	9411	Jan 2023	Youcef Lemsafer
729	(15049 • 109403 − 1) / 9	9407	Apr 2023	Florian Piesker
730	(2 • 109401 + 61) / 9	9401	Jan 2023	Florian Baur	Near repdigit
731	(64 • 109400 + 71) / 711	9399	Mar 2023	Youcef Lemsafer
732	(1974096 + 1894096) / 2	9398	Jan 2023	Youcef Lemsafer
733	555390 + 54	9381	Mar 2026	Alfred Reich	Dual Williams
734	109377 + 4551	9378	Aug 2024	Alfred Reich
735	2094032 + 208	9355	Mar 2026	Alfred Reich	Dual Williams
736	(3070! − 1) / 351053272725239827774649	9351	Feb 2026	Anonymous	Factorial minus cofactor
737	177596 + 16	9347	Mar 2026	Alfred Reich	Dual Williams
738	505496 + 49	9338	Mar 2026	Alfred Reich	Dual Williams
739	207176 + 19	9337	Mar 2026	Alfred Reich	Dual Williams
740	Φ(15717,10) / 19371189787956960101904837526140849990432949485984853	9308	Jul 2025	Anonymous	Repunit cofactor of R(15717)
741	(41 • 109300 − 23) / 9	9301	Feb 2023	Youcef Lemsafer
742	M(31181) / 21140719 / 253673383177500449 / 857820870366776701460174543   / 63143923609122773219414658038747759	9300	Dec 2025	Oliver Kruse	Mersenne cofactor
743	(513241 − 1) / 4	9255	Jul 2022	Florian Piesker	Generalized repunit
744	299 • 310 + 299 − 1	9239	May 2026	Alfred Reich	Dual Williams
745	Φ(13917,10) / ​1403524851659109979105248773826147953493807800675107	9225	Sep 2024	Alfred Reich	Cyclotomic polynomial cofactor   of R(13917)
746	See complete expression	9169	Jun 2024	Alex Kruppa	Mersenne cofactor of M(47337)
747	M(38105) / M(7621) / 85163760511	9166	Jun 2024	Alex Kruppa	Mersenne cofactor
748	2873728 + 286	9163	Mar 2026	Alfred Reich	Dual Williams
749	See complete expression	9142	Jun 2024	Alex Kruppa	Mersenne cofactor of M(56955)
750	714919 − 704919	9107	Jun 2026	Ryan S. Propper	Generalized Mersenne
751	1281979 • 109078 + 9791821	9085	Sep 2022	Anonymous
752	Sm2(2857) / 201680398811064555 ; See complete expression	9075	May 2026	Youcef Lemsafer	Smarandache base 2 cofactor
753	9993015 + 998	9044	May 2026	Alfred Reich	Dual Williams
754	(1614096 + 1574096) / 2	9039	Jan 2023	Youcef Lemsafer
755	1644079 − 1634079	9035	Jun 2026	Ryan S. Propper	Generalized Mersenne
756	Φ(45340 [C+D] ,10) / ​436539564528651438637853247761	9034	Sep 2024	Alfred Reich	Cyclotomic polynomial cofactor   of R(45340)
757	229999 + 322389431	9031	Oct 2023	Frank Doornink	Part of smallest 30000-bit prime twin
758	229999 + 322389429	9031	Oct 2023	Frank Doornink	Part of smallest 30000-bit prime twin
759	229999 + 28911	9031	Jul 2023	Oliver Kruse	Smallest 30000-bit prime
760	primV(89100)	9029	Feb 2026	Vishwath Ganesan	Lucas primitive part
761	(2971 • 512899 − 1) / 2	9020	Sep 2022	Florian Piesker
762	(109022 − 28) / 459131477292	9011	Mar 2024	Youcef Lemsafer
763	(16452802 + 28021645) / 54521153	9004	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
764	(86112681 − 1) / (8611383 − 1) / 10756307476841112466091538968116681045957633	9000	Mar 2024	Edwin Hall	Generalized repunit cofactor
765	3761 • (37602627 + 1) / (376071 + 1) / (376037 + 1) / 11925450391	9000	Mar 2024	Edwin Hall	Generalized Wagstaff cofactor
766	See complete expression	9000	Mar 2024	Edwin Hall
767	(22092693 + 26932209) / 5355882	9000	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
768	(109001 − 869) / 89	9000	Mar 2024	Edwin Hall
769	(109000 − 1) / 9 − 103826	9000	Nov 2023	U.N.Owen	Near repunit
770	(109000 − 1) / 9 − 105167	9000	May 2026	Anonymous	Near repunit
771	16 • 365779 − 1163	8996	Dec 2022	Florian Piesker
772	(1574096 + 1114096) / 2	8995	Jan 2023	Youcef Lemsafer
773	(1574096 + 834096) / 2	8995	Jan 2023	Youcef Lemsafer
774	655361867 + 65535	8993	May 2026	Alfred Reich	Dual Williams
775	(48058 • 89949 − 3) / 7	8989	Oct 2022	Florian Piesker
776	(2960! − 1) / 3106921	8986	Feb 2026	Anonymous	Factorial minus cofactor
777	206899 − 196899	8976	Jun 2026	Ryan S. Propper	Generalized Mersenne
778	1554096 + 664096	8972	Jan 2023	Youcef Lemsafer
779	108960 − 19389	8960	Aug 2024	Alfred Reich
780	1534096 + 404096	8949	Jan 2023	Youcef Lemsafer
781	157559 − 147559	8891	Jun 2026	Ryan S. Propper	Generalized Mersenne
782	(884586 + 458688) / 288 / 1985	8888	Jul 2024	Alfred Reich	Leyland plus-form cofactor
783	41943041341 + 4194303	8881	May 2026	Alfred Reich	Dual Williams
784	108802 − 20577	8802	Aug 2024	Alfred Reich
785	(123482153 − 1) / 6698951279	8800	Apr 2023	Youcef Lemsafer	Generalized repunit cofactor
786	25692569 + 22	8760	May 2025	Tengfei Wang	Lifchitz plus-form
787	1374096 + 104096	8753	Jan 2023	Youcef Lemsafer
788	3953370 + 394	8751	May 2026	Alfred Reich	Dual Williams
789	108744 − 27857	8744	Aug 2024	Alfred Reich
790	(31 • 177092 − 15) / 16	8727	Jun 2022	Florian Piesker
791	(2881! − 1) / 643121	8713	Feb 2026	Anonymous	Factorial minus cofactor
792	(65 • 108709 + 43) / 16087990743	8701	Feb 2023	Youcef Lemsafer
793	1663917 − 1653917	8697	Jun 2026	Ryan S. Propper	Generalized Mersenne
794	1114250 + 110	8693	Mar 2026	Alfred Reich	Dual Williams
795	724673 − 467372	8680	Mar 2023	Youcef Lemsafer	Leyland minus-form
796	1773860 + 176	8678	Mar 2026	Alfred Reich	Dual Williams
797	See PrimePages for more informations	8678	Aug 2025	Serge Batalov	Lehmer primitive part
798	(7 • 108653 − 61) / 7551	8650	Feb 2023	Youcef Lemsafer
799	2263674 + 225	8649	Mar 2026	Alfred Reich	Dual Williams
800	(86 • 108621 − 41) / 58239	8619	Feb 2023	Youcef Lemsafer
801	(1274096 + 904096) / 163841	8612	Feb 2023	Youcef Lemsafer
802	18641 • (186402359 + 1) / (18640337 + 1) / 163857991005752979174572330844369578279	8601	Mar 2023	Youcef Lemsafer	Generalized Wagstaff cofactor
803	1653878 + 164	8600	Mar 2026	Alfred Reich	Dual Williams
804	(8472941 + 2941847) / 527481769684	8600	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
805	(108600 − 1) / 9 − 104293	8600	Mar 2023	Youcef Lemsafer	Near repunit
806	1034272 − 4272103	8599	Feb 2023	Youcef Lemsafer	Leyland minus-form
807	(6413070 + 3070641) / 33971826983411341967	8598	Mar 2023	Youcef Lemsafer	Leyland plus-form cofactor
808	(9901 • 108589 − 1) / 9	8593	Jul 2022	Florian Piesker
809	(1394012 + 4012139) / 100314287268997379755577	8575	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
810	(108579 − 3) / 39671	8575	Feb 2023	Youcef Lemsafer
811	(82 • 108570 − 1) / 9	8571	Aug 2023	Anonymous	Near repunit
812	(14 • 108570 + 1) / 687	8569	Feb 2023	Youcef Lemsafer
813	(1111111102 • 108557 − 1) / 9	8566	Mar 2024	Tengfei Wang
814	(1234096 + 1154096) / 2506754	8554	Jan 2023	Youcef Lemsafer
815	(68 • 108555 + 31) / 134379	8552	Feb 2023	Youcef Lemsafer
816	1224096 + 694096	8546	Jan 2023	Youcef Lemsafer
817	(28 • 108537 − 1) / 9	8538	Jan 2023	Florian Piesker	Near repunit
818	(64 • 108541 + 17) / 338616927009	8532	Mar 2023	Youcef Lemsafer
819	(7 • 108529 − 43) / 9732121263	8520	Mar 2023	Youcef Lemsafer
820	(118192 + 24096) / 811750637569	8520	Jan 2023	Youcef Lemsafer
821	(710079 − 1) / 8345418	8511	Oct 2024	Jiahao He	Generalized repunit cofactor
822	(10282825 + 28251028) / 1623887337	8500	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
823	(13 • 228232 − 1) / 3	8500	Sep 2025	Oliver Kruse	Riesel cofactor
824	(73 • 108502 + 71) / 170487	8499	Mar 2023	Youcef Lemsafer
825	1094170 + 108	8497	Mar 2026	Alfred Reich	Dual Williams
826	M(42447) / M(14149) / 86581124763285473569129	8496	Jun 2024	Alex Kruppa	Mersenne cofactor
827	(2808! + 1) / 1806839	8460	Feb 2026	Anonymous	Factorial plus cofactor
828	(3473331 − 1) / 346	8460	May 2023	Tom Wu	Generalized repunit
829	(200100299192771693491 − 1) / 1373898629474229166883705969951160284311606388	8450	Mar 2023	Youcef Lemsafer	Generalized repunit cofactor
830	(2805! − 1) / 539927183	8447	Feb 2026	Anonymous	Factorial minus cofactor
831	See complete expression	8446	Jun 2024	Alex Kruppa	Mersenne cofactor of M(53055)
832	(3123373 − 1) / 311	8411	Jun 2022	Florian Piesker	Generalized repunit
833	(108414 + 775) / 103775	8409	Jul 2024	Alfred Reich
834	108408 + 39913	8409	Jul 2024	Alfred Reich
835	(1134096 + 724096) / 273801217	8401	Jan 2023	Youcef Lemsafer
836	(9582819 + 2819958) / 200317	8400	Jan 2023	Youcef Lemsafer	Leyland plus-form cofactor
837	2873410 − 2	8382	Jun 2022	Florian Piesker
838	2376 • (23772641 − 1) / (2377139 − 1) / (237719 − 1) / 1477935293	8377	Feb 2023	Youcef Lemsafer	Generalized repunit cofactor
839	(1114096 + 404096) / 10737647617	8368	Jan 2023	Youcef Lemsafer
840	(11062749 + 27491106) / 263458528020130533	8350	May 2023	Youcef Lemsafer	Leyland plus-form cofactor
841	(35862351 − 1) / 16860255	8350	Mar 2023	Youcef Lemsafer	Generalized repunit cofactor
842	See complete expression	8338	Jun 2024	Alex Kruppa
843	(317477 − 1) / 1245760562	8330	Oct 2024	Jiahao He	Generalized repunit cofactor
844	See complete expression	8300	Feb 2023	Youcef Lemsafer	Generalized repunit cofactor
845	894253 − 884253	8291	Jun 2026	Ryan S. Propper	Generalized Mersenne
846	Sm2(2636) / 24124 ; See complete expression	8289	May 2026	Youcef Lemsafer	Smarandache base 2 cofactor
847	(117963 −1) / 43224926255859775947744209544153708970	8255	Oct 2024	Jiahao He	Generalized repunit cofactor
848	(13162647 + 26471316) / 3196923	8251	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
849	(22 • 108233 − 13) / 9	8234	Jul 2022	Anonymous
850	335419 − 325419	8229	Jun 2026	Ryan S. Propper	Generalized Mersenne
851	1723671 − 1713671	8207	Jun 2026	Ryan S. Propper	Generalized Mersenne
852	(38 • 108216 − 11) / 54190320114037707	8201	Mar 2023	Youcef Lemsafer
853	(41392267 − 1) / 4138	8196	Jan 2024	Tom Wu	Generalized repunit
854	(71 • 108196 − 53) / 33220323	8191	Feb 2023	Youcef Lemsafer
855	16 • 206270 + 13	8159	Jun 2022	Florian Piesker
856	Sm3(2546) ; See complete expression	8157	May 2026	Youcef Lemsafer	Smarandache base 3
857	(11 • 108128 +3) / 97	8128	Sep 2025	Oliver Kruse
858	(674451 − 1) / 66	8127	Jan 2024	Tom Wu	Generalized repunit
859	108124 + 4147	8125	Aug 2024	Alfred Reich
860	(317027 + 1) / 4	8124	Jul 2022	Florian Piesker	Generalized Wagstaff
861	564639 − 554639	8110	Jun 2026	Ryan S. Propper	Generalized Mersenne
862	664447 − 654447	8092	Jun 2026	Ryan S. Propper	Generalized Mersenne
863	(934096 + 384096) / 188417	8058	Jan 2023	Youcef Lemsafer
864	(70132087 − 1) / 7012	8023	Dec 2025	Oliver Kruse	Generalized repunit
865	(53 • 108033 − 71) / 62932385240091	8021	Feb 2023	Youcef Lemsafer
866	(108009 − 1) / 9 − 102515	8009	Sep 2024	Oliver Kruse	Near repunit
867	(38242237 − 1) / 171044843	8006	Feb 2023	Youcef Lemsafer	Generalized repunit cofactor
868	226577 + 27132 + 1	8001	May 2026	Anonymous
869	(32692281 + 1) / 25519260590121990	8000	Mar 2024	Edwin Hall	Generalized Wagstaff cofactor
870	(79467 + 69) / 4	8000	Mar 2024	Edwin Hall
871	(434902 + 167) / 23920176	8000	Apr 2025	Anonymous
872	12170 • (121692059 + 1) / (1216971 + 1) / (1216929 + 1) / 29637247	8000	Mar 2024	Edwin Hall	Generalized Wagstaff cofactor
873	(141601931 − 1) / 12920932028719289	8000	Jan 2023	Anonymous	Generalized repunit cofactor
874	(121 • 226589 − 1) / 4027553	8000	Jul 2022	Florian Piesker	Riesel cofactor
875	(87992029 − 1) / 8798	8000	Nov 2022	Anonymous	Generalized repunit
876	(32411 • 365138 − 1) / 35	8000	Jul 2022	Florian Piesker
877	See complete expression	8000	Mar 2024	Edwin Hall
878	See complete expression	8000	Mar 2024	Edwin Hall
879	(1953496 + 3496195) / 5670889	8000	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
880	((6156 + 1)66 + 2) / 5329098793947	8000	Mar 2024	Edwin Hall
881	See complete expression	8000	Mar 2024	Edwin Hall	Generalized repunit cofactor
882	See complete expression	8000	May 2026	Anonymous
883	107999 + 1600488488137	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
884	107999 + 1600488488133	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
885	107999 + 1600488488131	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
886	107999 + 59692204803	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
887	107999 + 59692204801	8000	Jun 2023	Oliver Kruse	Part of the smallest   8000-digit prime triplet
888	107999 + 308129599	8000	Oct 2023	U.N.Owen
889	107999 + 273025591	8000	Mar 2024	Edwin Hall
890	(8 • 107995 − 53) / 9	7995	Apr 2026	Anonymous	Near repdigit
891	(894096 + 334096) / 8929282	7978	Jan 2023	Youcef Lemsafer
892	(35 • 108001 − 53) / 8827926799385761612706799	7978	Feb 2023	Youcef Lemsafer
893	3513130 + 350	7967	Mar 2026	Alfred Reich	Dual Williams
894	(19 • 107959 − 73) / 339391917	7952	Jul 2024	Alfred Reich
895	(2443331 − 1) / 243	7951	Jun 2022	Florian Piesker	Generalized repunit
896	(2 • 107925 + 61) / 9	7925	Jan 2023	Florian Baur	Near repdigit
897	8232712 − 2712823	7907	May 2025	Tengfei Wang	Leyland minus-form
898	7342759 − 2759734	7907	May 2025	Tengfei Wang	Leyland minus-form
899	(77 • 107906 + 31) / 33854049	7901	Feb 2023	Youcef Lemsafer
900	(38032207 − 1) / 3802	7898	Jan 2024	Tom Wu	Generalized repunit
901	See PrimePages for more informations	7891	Aug 2025	Serge Batalov	Part of CHG-proof of   Lehmer primitive part
902	1723527 − 1713527	7885	Jun 2026	Ryan S. Propper	Generalized Mersenne
903	(38 • 107876 + 43) / 9	7877	Jul 2022	Anonymous
904	12 • 186270 + 221	7872	Jun 2022	Florian Piesker
905	Sm2(2517) / 185 ; See complete expression	7861	May 2026	Youcef Lemsafer	Smarandache base 2 cofactor
906	17122429 − 24291712	7855	May 2025	Tengfei Wang	Leyland minus-form
907	22112344 − 23442211	7840	May 2025	Tengfei Wang	Leyland minus-form
908	(5172887 − 1) / 516	7832	Jun 2022	Florian Piesker	Generalized repunit
909	21662347 − 23472166	7829	May 2025	Tengfei Wang	Leyland minus-form
910	(2620! + 1) / 2621	7817	Feb 2026	Anonymous	Factorial plus cofactor
911	(2623! − 1) / 3914111041830581	7815	Feb 2026	Anonymous	Factorial minus cofactor
912	1083841 − 3841108	7811	May 2025	Tengfei Wang	Leyland minus-form
913	(107807 + 27 • 103903 − 1) / 19323	7803	Feb 2023	Youcef Lemsafer
914	7442717 − 2717744	7803	May 2025	Tengfei Wang	Leyland minus-form
915	(7 • 107784 + 11) / 9	7784	Apr 2026	Anonymous	Near repdigit
916	See complete expression	7778	Sep 2025	Oliver Kruse	Mersenne cofactor of M(26161)
917	107777 + 23631	7778	Dec 2022	Youcef Lemsafer
918	230 • 860 + (230 − 1)	7767	May 2026	Alfred Reich	Dual WIlliams
919	7902679 − 2679790	7763	May 2025	Tengfei Wang	Leyland minus-form
920	− E(2762) / 2670541	7760	May 2023	Frank Doornink	Euler irregular   re-certified via CM
921	17432392 − 23921743	7754	Feb 2024	Florian Piesker	Leyland minus-form
922	22302313 − 23132230	7745	Feb 2024	Florian Piesker	Leyland minus-form
923	(19 • 107733 − 73) / 1262287288345540958091	7714	Jul 2024	Alfred Reich
924	(23 • 107719 + 1) / 70520620353765145773	7701	Feb 2023	Youcef Lemsafer
925	(41272129 − 1) / 4126	7695	Sep 2024	Tom Wu	Generalized repunit
926	Φ(19310,10) / 59723691770615984462270474099257662234974081	7677	Jul 2025	Anonymous	Repunit cofactor of R(19310)
927	(754096 + 174096) / 229378	7675	Jan 2023	Youcef Lemsafer
928	2953096 − 3096295	7647	May 2025	Tengfei Wang	Leyland minus-form
929	14972404 − 24041497	7634	Jan 2024	Florian Piesker	Leyland minus-form
930	296 • 264 + 296 − 1	7630	May 2026	Alfred Reich	Dual Williams
931	13 • 285270 + 5697	7628	Oct 2022	Anonymous
932	19912312 − 23121991	7628	Jan 2024	Florian Piesker	Leyland minus-form
933	(734096 + 374096) / 81922	7628	Jan 2023	Youcef Lemsafer
934	20712298 − 22982071	7621	Jan 2024	Florian Piesker	Leyland minus-form
935	1433524 + 142	7596	Feb 2026	Alfred Reich	Dual Williams
936	(8 • 107581 − 17) / 9	7581	Apr 2026	Anonymous	Near repdigit
937	2053278 − 3278205	7578	Jan 2024	Florian Piesker	Leyland minus-form
938	11452466 − 24661145	7544	Jan 2024	Florian Piesker	Leyland minus-form
939	(12972423 − 1) / 1296	7540	Sep 2023	Anonymous	Generalized repunit
940	(843917 − 1) / 83	7536	Jul 2022	Florian Piesker	Generalized repunit
941	(19 • 107581 − 73) / 705339555643950750455644733834598431861786767432209	7532	Jul 2024	Alfred Reich
942	(19 • 107532 − 73) / 311235687	7525	Jul 2024	Alfred Reich
943	(8 • 107517 − 17) / 66339998953749837	7502	Dec 2022	Youcef Lemsafer
944	(684096 + 374096) / 3625623553	7497	Jan 2023	Youcef Lemsafer
945	(510723 + 1) / 1685398254	7486	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
946	14572366 − 23661457	7485	Jan 2024	Florian Piesker	Leyland minus-form
947	2153206 −3206215	7478	Jan 2024	Florian Piesker	Leyland minus-form
948	3922883 − 2883392	7477	Jan 2024	Florian Piesker	Leyland minus-form
949	11122453 − 24531112	7473	Jan 2024	Florian Piesker	Leyland minus-form
950	(13192393 − 1) / 1318	7464	Jun 2023	Tom Wu	Generalized repunit
951	454513 + 44	7461	Feb 2026	Alfred Reich	Dual Williams
952	(69587 − 1) / 1547659697921495	7445	Oct 2024	Jiahao He	Generalized repunit cofactor
953	15582331 − 23311558	7442	Jan 2024	Florian Piesker	Leyland minus-form
954	13822367 − 23671382	7434	Jan 2024	Florian Piesker	Leyland minus-form
955	M(24977) /   356188988279565678860712219326788909779222981959375612731418246191096000840878817568687	7433	May 2025	Anonymous	Mersenne cofactor
956	305016 + 29	7410	Mar 2026	Alfred Reich	Dual Williams
957	9 • 107400 − 13	7401	Dec 2022	Youcef Lemsafer
958	See complete expression	7401	Aug 2024	Alfred Reich	Generalized repunit cofactor
959	(107400 − 1) / 9 − 10135	7400	Dec 2022	Youcef Lemsafer	Near repunit
960	107399 + 4119	7400	Dec 2022	Youcef Lemsafer
961	2703039 + 269	7389	Mar 2026	Alfred Reich	Dual Williams
962	(19 • 107388 − 73) / 2519251881192081	7374	Jul 2024	Alfred Reich	-
963	(510567 − 1) / 462684221045557737731337100158760674675356	7345	Oct 2024	Jiahao He	Generalized repunit cofactor
964	(11872389 − 1) / 1186	7342	Jun 2023	Tom Wu	Generalized repunit
965	8822491 − 2491882	7338	Aug 2023	Florian Piesker	Leyland minus-form
966	(75 • 224339 − 1) / 248209057	7321	Sep 2024	Anonymous	Riesel cofactor
967	294996 + 28	7307	Mar 2026	Alfred Reich	Dual Williams
968	2802984 + 279	7303	Mar 2026	Alfred Reich	Dual Williams
969	See complete expression	7299	Sep 2024	Serge Batalov	Cyclotomic polynomial cofactor   of 1247505550 − 1
970	18122239 − 22391812	7296	Aug 2023	Florian Piesker	Leyland minus-form
971	205604 + 19	7291	Mar 2026	Alfred Reich	Dual Williams
972	11 • 136543 + 2012	7290	Jun 2022	Florian Piesker
973	Sm2(2367) / 8240252132454151823354614566346645 ; See complete expression	7288	May 2026	Youcef Lemsafer	Smarandache base 2 cofactor
974	(1743251 − 1) / 173	7282	Jun 2022	Florian Piesker	Generalized repunit
975	(8 • 107254 − 53) / 9	7254	Apr 2026	Anonymous	Near repdigit
976	983641 − 99	7251	Jan 2026	Alfred Reich	Dual Williams
977	19882193 − 21931988	7234	Jul 2023	Florian Piesker	Leyland minus-form
978	(16831# + 1) / 42012052913	7231	May 2026	Jiahao He	Primorial plus cofactor
979	21632164 − 21642163	7218	Jul 2023	Florian Piesker	Leyland minus-form
980	(5 • 304883 + 401) / 29	7213	Jun 2022	Florian Piesker
981	107203 + 8049	7204	Aug 2024	Alfred Reich
982	(107200 − 1) / 9 − 10620	7200	Jul 2024	Alfred Reich	Near repunit
983	(107200 − 1) / 9 − 104584	7200	Jul 2024	Alfred Reich	Near repunit
984	2992906 + 298	7195	Mar 2026	Alfred Reich	Dual Williams
985	(36549 • 364619 − 289) / 35	7192	Dec 2022	Florian Piesker
986	12192324 − 23241219	7172	Jul 2023	Florian Piesker	Leyland minus-form
987	(7 • 107163 − 61) / 9	7163	Apr 2026	Anonymous	Near repdigit
988	3282847 − 2847328	7163	Jul 2023	Florian Piesker	Leyland minus-form
989	(31092048 + 1) / 2	7153	Jun 2026	Jiahao He	Generalized half-Fermat
990	1203440 + 119	7153	Mar 2026	Alfred Reich	Dual Williams
991	2882907 + 287	7150	Mar 2026	Alfred Reich	Dual Williams
992	(8632423 − 1) / 862	7112	May 2023	Tom Wu	Generalized repunit
993	(314957 + 1) / 1483315759467807874109351530756	7107	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
994	15152234 − 22341515	7106	Jul 2023	Florian Piesker	Leyland minus-form
995	(979 • 364563 − 629) / 35	7103	Dec 2022	Florian Piesker
996	(4 • 107122 + 17) / 82113205012595611229319	7100	Dec 2022	Youcef Lemsafer
997	(414410 + 40) / 269785789357018487396191933	7086	Nov 2024	Alfred Reich	Dual Williams cofactor
998	(2409! + 1) / 3412969897334266847	7084	Feb 2026	Anonymous	Factorial plus cofactor
999	13812252 − 22521381	7072	Jul 2023	Florian Piesker	Leyland minus-form
1000	(7 • 223487 + 1) / 3	7071	Aug 2024	Alfred Reich	Proth cofactor
1001	14032246 − 22461403	7069	Jul 2023	Florian Piesker	Leyland minus-form
1002	(1493251 − 1) / 148	7063	Jun 2023	Tom Wu	Generalized repunit
1003	(2399! + 1) / 1474177808410384291551082268437	7039	Feb 2026	Anonymous	Factorial plus cofactor
1004	(11 • 107020 − 101) / 9	7021	Oct 2024	Alfred Reich
1005	(89 • 223281 − 1) / 11584437	7004	Sep 2024	Oliver Kruse	Riesel cofactor
1006	107002 + 51159	7003	Aug 2024	Alfred Reich
1007	(19732125 + 21251973) / 6	7002	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
1008	107001 + 301	7002	Dec 2023	U.N.Owen
1009	(143 • 223276 + 1) / 1243550463	7000	Jun 2022	Anonymous	Proth cofactor
1010	(78305 + 131) / 5948061232140505794	7000	Mar 2024	Edwin Hall
1011	(42561969 + 39382128) / 22128 / 28264230669	7000	Mar 2024	Edwin Hall
1012	(107000 + 546) / 2	7000	Sep 2023	U.N.Owen
1013	(35 • 107007 − 53) / 961231689	7000	May 2026	Anonymous
1014	14983 • (149841763 − 1) / (1498443 − 1) / (1498441 − 1) / 5711006133239723	7000	Mar 2024	Edwin Hall	Generalized repunit cofactor
1015	(6582487 + 2487658) / 4307646419	7000	Nov 2024	Alfred Reich	Leyland plus-form cofactor
1016	(11 • 107000 + 61) / 63	7000	Dec 2022	Youcef Lemsafer
1017	106999 + 1868862621093	7000	Sep 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1018	106999 + 1868862621091	7000	Sep 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1019	106999 + 1868862621087	7000	Sep 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1020	106999 + 1141791245443	7000	Aug 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1021	106999 + 1141791245439	7000	Aug 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1022	106999 + 1141791245437	7000	Aug 2022	Oliver Kruse	Part of smallest   7000-digit prime triplet
1023	2083019 + 207	6999	Mar 2026	Alfred Reich	Dual Williams
1024	106998 + 699817 + 1710	6999	Jan 2023	Youcef Lemsafer
1025	9552348 − 2348955	6998	Jul 2023	Florian Piesker	Leyland minus-form
1026	1923064 + 191	6997	Mar 2026	Alfred Reich	Dual Williams
1027	2133004 + 212	6995	Mar 2026	Alfred Reich	Dual Williams
1028	(514096 + 144096) / 114689	6990	Jan 2023	Youcef Lemsafer
1029	2622889 + 261	6987	Mar 2026	Alfred Reich	Dual Williams
1030	106966 + 54967	6967	Aug 2024	Alfred Reich
1031	404348 + 39	6966	Mar 2026	Alfred Reich	Dual Williams
1032	274864 + 26	6963	Mar 2026	Alfred Reich	Dual Williams
1033	593930 − 393059	6960	Jul 2023	Florian Piesker	Leyland minus-form
1034	(35 • 106954 − 593) / 9	6955	Jan 2023	Florian Piesker
1035	(20032107 − 21072003) / 227032	6952	Sep 2024	Anonymous	Leyland minus-form cofactor
1036	1563169 − 1553169	6951	Jun 2026	Ryan S. Propper	Generalized Mersenne
1037	1433214 + 142	6928	Mar 2026	Alfred Reich	Dual Williams
1038	(27 • 1353250 − 1) / 2	6925	May 2022	Ryan S. Propper
1039	(4 • 106923 − 1) / 3	6924	Nov 2022	Anonymous
1040	2902802 + 289	6900	Mar 2026	Alfred Reich	Dual Williams
1041	16732138 − 21381673	6892	Jul 2023	Florian Piesker	Leyland minus-form
1042	1243288 + 123	6884	Mar 2026	Alfred Reich	Dual Williams
1043	723704 + 71	6880	Mar 2026	Alfred Reich	Dual Williams
1044	1972996 + 196	6875	Mar 2026	Alfred Reich	Dual Williams
1045	17692112 − 21121769	6860	Jul 2023	Florian Piesker	Leyland minus-form
1046	16152138 − 21381615	6860	Jul 2023	Florian Piesker	Leyland minus-form
1047	9662297 − 2297966	6857	Jul 2023	Florian Piesker	Leyland minus-form
1048	2132944 − 2944213	6855	Jul 2023	Florian Piesker	Leyland minus-form
1049	523991 + 51	6849	Mar 2026	Alfred Reich	Dual Williams
1050	(11 • 1753048 − 1) / 2	6838	Jun 2022	Florian Piesker
1051	16352126 − 21261635	6832	Jul 2023	Florian Piesker	Leyland minus-form
1052	(17 • 106812 + 7) / 3	6813	Aug 2023	Markus Tervooren
1053	(21172048 + 1) / 2	6811	Aug 2022	Florian Piesker	Generalized half-Fermat
1054	1393175 + 138	6805	Mar 2026	Alfred Reich	Dual Williams
1055	4482565 − 2565448	6801	Jul 2023	Florian Piesker	Leyland minus-form
1056	6752401 + 674	6794	May 2026	Alfred Reich	Dual Williams
1057	(106786 − 1) / 9 − 102992	6786	Aug 2024	Alfred Reich	Near repunit
1058	106784 − 8387	6784	Aug 2024	Alfred Reich
1059	4252580 + 424	6782	May 2026	Alfred Reich	Dual Williams
1060	1373169 − 1363169	6772	Jun 2026	Ryan S. Propper	Generalized Mersenne
1061	7002379 − 2379700	6769	Jul 2023	Florian Piesker	Leyland minus-form
1062	5702456 + 569	6769	May 2026	Alfred Reich	Dual Williams
1063	(8878 • 106763 − 1) / 3	6767	Dec 2022	Florian Piesker
1064	18952064 − 20641895/	6765	Jul 2023	Florian Piesker	Leyland minus-form
1065	(68707 + 1) / 39913890895403104540916291	6750	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
1066	1023359 − 3359102	6747	Jul 2023	Florian Piesker	Leyland minus-form
1067	(3112707 + 1) / 312	6746	Jun 2022	Florian Piesker	Generalized Wagstaff
1068	87446 + 7	6725	Feb 2026	Alfred Reich	Dual Williams
1069	(16138 • 106711 − 1) / 9	6715	Dec 2022	Florian Piesker
1070	4442530 + 443	6698	May 2026	Alfred Reich	Dual Williams
1071	254 • 412 + 254 − 1	6698	May 2026	Alfred Reich	Dual Williams
1072	8852268 + 884	6684	May 2026	Alfred Reich	Dual Williams
1073	11642179 − 21791164	6681	Jul 2023	Florian Piesker	Leyland minus-form
1074	5702424 + 569	6681	May 2026	Alfred Reich	Dual Williams
1075	4302536 + 429	6679	May 2026	Alfred Reich	Dual Williams
1076	(414138 + 40) / 4579	6671	Nov 2024	Alfred Reich	Dual Williams cofactor
1077	(3602609 − 1) / 359	6667	Jun 2022	Florian Piesker	Generalized repunit
1078	224959 + 21	6658	Mar 2026	Alfred Reich	Dual Williams
1079	3662595 + 365	6653	Mar 2026	Alfred Reich	Dual Williams
1080	7652306 − 2306765	6650	Jul 2023	Florian Piesker	Leyland minus-form
1081	10192208 − 22081019	6643	Jul 2023	Florian Piesker	Leyland minus-form
1082	7652302 + 764	6639	May 2026	Alfred Reich	Dual Williams
1083	313904 − 139043	6634	Jul 2023	Florian Piesker	Leyland minus-form
1084	18392032 − 20321839	6634	Jul 2023	Florian Piesker	Leyland minus-form
1085	3752576 − 2576375	6631	Jul 2023	Florian Piesker	Leyland minus-form
1086	(963343 − 1) / 95	6625	Jun 2022	Florian Piesker	Generalized repunit
1087	8232271 + 822	6621	May 2026	Alfred Reich	Dual Williams
1088	3002671 + 299	6617	Mar 2026	Alfred Reich	Dual Williams
1089	2852692 + 284	6609	Mar 2026	Alfred Reich	Dual Williams
1090	(2263! − 1) / 73175686297086403	6595	Feb 2026	Anonymous	Factorial minus cofactor
1091	414088 − 408841	6594	Jul 2023	Florian Piesker	Leyland minus-form
1092	3582574 + 357	6574	May 2026	Alfred Reich	Dual Williams
1093	7112302 − 2302711	6566	Jul 2023	Florian Piesker	Leyland minus-form
1094	1043251 − 3251104	6558	Jul 2023	Florian Piesker	Leyland minus-form
1095	14682067 − 20671468	6546	Jul 2023	Florian Piesker	Leyland minus-form
1096	3732542 + 372	6538	May 2026	Alfred Reich	Dual Williams
1097	7492270 − 2270749	6526	Jul 2023	Florian Piesker	Leyland minus-form
1098	9742181 − 2181974	6519	Jul 2023	Florian Piesker	Leyland minus-form
1099	1423025 + 141	6511	Feb 2026	Alfred Reich	Dual Williams
1100	(106504 − 1) / 9 − 101979	6504	May 2025	Tengfei Wang	Near repunit
1101	126008 + 11	6484	Feb 2026	Alfred Reich	Dual Williams
1102	1053207 + 104	6482	Feb 2026	Alfred Reich	Dual Williams
1103	8482208 + 847	6466	May 2026	Alfred Reich	Dual Williams
1104	1762879 − 1752879	6465	Jun 2026	Ryan S. Propper	Generalized Mersenne
1105	(24591907 − 1) / 2458	6463	Jun 2023	Tom Wu	Generalized repunit
1106	5492358 + 548	6460	May 2026	Alfred Reich	Dual Williams
1107	1502964 + 149	6450	Feb 2026	Alfred Reich	Dual Williams
1108	15152026 − 20261515	6444	Jul 2023	Florian Piesker	Leyland minus-form
1109	(28 • 106441 + 521) / 9	6442	Jan 2023	Florian Piesker
1110	5102377 + 509	6436	May 2026	Alfred Reich	Dual Williams
1111	1223083 − 116166	6433	Jun 2026	Ryan S. Propper	Generalized Mersenne
1112	7832220 + 782	6425	May 2026	Alfred Reich	Dual Williams
1113	1482949 − 2949148	6401	Jul 2023	Florian Piesker	Leyland minus-form
1114	2552653 + 254	6385	Mar 2026	Alfred Reich	Dual Williams
1115	7342222 + 733	6368	May 2026	Alfred Reich	Dual Williams
1116	(77577 + 1) / 25503753010544086902592043488124072824	6366	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
1117	6042286 + 603	6358	May 2026	Alfred Reich	Dual Williams
1118	(4232417 + 1) / 424	6346	Jun 2022	Florian Piesker	Generalized Wagstaff
1119	See PrimePages for more informations	6338	Aug 2025	Serge Batalov	Part of CHG-proof of   Lehmer primitive part
1120	106333 + 15501	6334	Aug 2024	Alfred Reich
1121	See complete expression	6333	Jul 2024	Alfred Reich	Generalized repunit cofactor
1122	106332 + 9757	6333	Aug 2024	Alfred Reich
1123	(2272687 − 1) / 226	6329	May 2023	Anonymous	Generalized repunit
1124	3522484 + 351	6326	May 2026	Alfred Reich	Dual Williams
1125	240 • 525 + (240 − 1)	6322	May 2026	Alfred Reich	Dual Williams
1126	(49 • 221007 − 1) / 2064228473	6317	Jul 2024	Alfred Reich	Riesel cofactor
1127	(313241 − 213241) / 8818507	6311	Jun 2026	Jiahao He	Generalized Mersenne cofactor
1128	6202258 + 619	6306	May 2026	Alfred Reich	Dual Williams
1129	4942334 + 493	6288	May 2026	Alfred Reich	Dual Williams
1130	1332960 + 132	6287	Mar 2026	Alfred Reich	Dual Williams
1131	503699 − 369950	6285	Jul 2023	Florian Piesker	Leyland minus-form
1132	2052718 + 204	6284	Mar 2026	Alfred Reich	Dual Williams
1133	(1372939 − 1) / 136	6278	Jun 2023	Tom Wu	Generalized repunit
1134	1882750 + 187	6254	Mar 2026	Alfred Reich	Dual Williams
1135	(29811800 − 602981) / 173	6252	Feb 2023	Youcef Lemsafer
1136	M(20963) / 81379832959403149463770156281732303005429401341649326070070825294890913	6240	Jul 2025	Florian Baur	Mersenne cofactor
1137	2382618 + 237	6222	Mar 2026	Alfred Reich	Dual Williams
1138	5314411086 + 531440	6218	Mar 2026	Alfred Reich	Dual Williams
1139	1582828 + 157	6218	Mar 2026	Alfred Reich	Dual Williams
1140	2152662 + 214	6209	Mar 2026	Alfred Reich	Dual Williams
1141	6212218 + 620	6196	May 2026	Alfred Reich	Dual Williams
1142	693368 + 68	6194	Mar 2026	Alfred Reich	Dual Williams
1143	2942509 − 2509294	6194	Jul 2023	Florian Piesker	Leyland minus-form
1144	9882064 + 987	6182	May 2026	Alfred Reich	Dual Williams
1145	20 • 264366 + 473	6180	Dec 2022	Florian Piesker
1146	(106177 − 1) / 9 − 102921	6177	Jun 2026	Jiahao He	Near repunit
1147	3492424 − 2424349	6164	Jul 2023	Florian Piesker	Leyland minus-form
1148	5662236 + 565	6156	May 2026	Alfred Reich	Dual Williams
1149	3892376 + 388	6154	May 2026	Alfred Reich	Dual Williams
1150	6492188 + 648	6154	May 2026	Alfred Reich	Dual Williams
1151	7762128 + 775	6150	May 2026	Alfred Reich	Dual Williams
1152	2602546 + 259	6149	Mar 2026	Alfred Reich	Dual Williams
1153	9212073 + 920	6145	May 2026	Alfred Reich	Dual Williams
1154	(123 • 220466 − 1) / 3502570762954150661	6145	Sep 2024	Anonymous	Riesel cofactor
1155	(3 • 220447 − 1) / 203923863859	6145	Sep 2024	Anonymous	Riesel cofactor
1156	(167 • 220440 − 1) / 566444958433	6144	Sep 2024	Anonymous	Riesel cofactor
1157	(242 • 284241 − 4679) / 9	6139	Jun 2022	Florian Piesker
1158	25 • 363934 − 901	6124	Jun 2022	Florian Piesker
1159	1782720 + 177	6122	Mar 2026	Alfred Reich	Dual Williams
1160	3892360 − 2360389	6113	Jul 2023	Florian Piesker	Leyland minus-form
1161	(673347 − 1) / 66	6111	Jun 2023	Tom Wu	Generalized repunit
1162	(4 • 363926 + 941) / 35	6110	Dec 2022	Florian Piesker
1163	6012198 + 600	6108	May 2026	Alfred Reich	Dual Williams
1164	(1762719 − 1) / 175	6104	Feb 2026	Alfred Reich	Generalized repunit
1165	3432558 + 242	6103	Feb 2026	Alfred Reich	Dual Williams
1166	(743257 − 1) / 73	6087	Sep 2025	Tom Wu	Generalized repunit
1167	4302311 + 429	6086	May 2026	Alfred Reich	Dual Williams
1168	(220219 + 3) / 262297	6082	Jul 2026	Jiahao He
1169	(5152243 − 1) / 514	6080	Jun 2022	Florian Piesker	Generalized repunit
1170	(16306 • 106068 − 7) / 9	6072	Jul 2022	Florian Piesker
1171	5882192 + 587	6071	May 2026	Alfred Reich	Dual Williams
1172	(2842473 − 1) / 283	6065	Jun 2022	Florian Piesker	Generalized repunit
1173	(6772143 − 1) / 676	6064	Sep 2025	Tom Wu	Generalized repunit
1174	(2392549 − 1) / 238	6061	Sep 2025	Tom Wu	Generalized repunit
1175	2632504 + 262	6060	Feb 2026	Alfred Reich	Dual Williams
1176	4282300 + 427	6053	May 2026	Alfred Reich	Dual Williams
1177	(1802683 − 1) / 179	6049	Sep 2025	Tom Wu	Generalized repunit
1178	(1342843 − 1) / 133	6046	Sep 2024	Alfred Reich	Generalized repunit
1179	106043 − 15119	6043	Aug 2024	Alfred Reich
1180	106042 + 8167	6043	Aug 2024	Alfred Reich
1181	7052121 + 704	6042	May 2026	Alfred Reich	Dual Williams
1182	2542510 + 253	6037	Feb 2026	Alfred Reich	Dual Williams
1183	(67793 − 1) / 52650742795870502208021425088290165	6030	Oct 2024	Jiahao He	Generalized repunit cofactor
1184	1992622 − 2622199	6028	Jul 2023	Florian Piesker	Leyland minus-form
1185	219999 + 5127869884059	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1186	219999 + 5127869884055	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1187	219999 + 368935649081	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1188	219999 + 368935649079	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1189	219999 + 368935649075	6021	Jan 2026	Oliver Kruse	Part of smallest 20000-bit   prime triplet
1190	219999 + 168863243	6021	Jul 2023	Oliver Kruse	Part of smallest 20000-bit prime twin
1191	219999 + 168863241	6021	Jul 2023	Oliver Kruse	Part of smallest 20000-bit prime twin
1192	219999 + 3191	6021	Jul 2023	Oliver Kruse	Smallest 20000-bit prime
1193	20141821 − 1821	6017	May 2026	Jiahao He	Dual Woodall
1194	1152918 + 114	6014	Feb 2026	Alfred Reich	Dual Williams
1195	106012 + 313	6013	May 2025	Tengfei Wang
1196	(1732687 − 1) / 172	6012	Aug 2022	Florian Piesker	Generalized repunit
1197	(106008 − 1) / 9 − 10162	6008	May 2025	Tengfei Wang	Near repunit
1198	(111 • 219949 − 1) / 113	6006	Nov 2024	Alfred Reich	Riesel cofactor
1199	2352532 + 234	6004	Feb 2026	Alfred Reich	Dual Williams
1200	(17551853 + 18531755) / 1132708784	6003	Feb 2023	Youcef Lemsafer	Leyland plus-form cofactor
1201	(115801 + 1) / 806106541271920844262715684835860141812	6003	Nov 2024	Jiahao He	Generalized Wagstaff cofactor
1202	(106009 − 845) / 124737605	6001	Feb 2023	Anonymous
1203	See complete expression	6001	Apr 2025	Anonymous
1204	See complete expression	6000	Apr 2025	Anonymous
1205	(150751438 + 1) / 227255626	6000	Apr 2024	Anonymous
1206	(77100 − 39) / 2	6000	Oct 2023	Anonymous
1207	(130362187 + 1) / (13036729 + 1)	6000	Dec 2024	Alfred Reich
1208	(197541399 + 1) / 6743507535	6000	Jun 2026	Jiahao He	Generalized Wagstaff cofactor
1209	(77111 + 841) / 5610416576	6000	Feb 2024	Edwin Hall
1210	See complete expression	6000	Oct 2024	Alfred Reich	Generalized repunit cofactor
1211	See complete expression	6000	Feb 2024	Anonymous
1212	473588 + 66	6000	Nov 2024	Alfred Reich
1213	(77 • 219969 − 1) / 50829469734861	6000	Jun 2022	Anonymous	Riesel cofactor
1214	(61 • 106015 + 11) / 263147076898997931	6000	Dec 2022	Florian Piesker
1215	See complete expression	6000	Feb 2024	Edwin Hall	Generalized repunit cofactor
1216	See complete expression	6000	Feb 2024	Edwin Hall
1217	(116651478 + 1) / 402365572282	6000	Nov 2024	Alfred Reich
1218	(2082! + 78913586303) / 50631443	6000	Mar 2024	Edwin Hall
1219	(2086! + 86258 − 1) / 971991237346582294359	6000	Jan 2026	Alfred Reich
1220	(58482 + 264241) / 51	6000	Dec 2022	Frank Doornink
1221	(77115 + 751) / 48265657103978	6000	Feb 2024	Edwin Hall
1222	(219938 − 7) / 669	6000	Jul 2024	Alfred Reich
1223	Φ(23,−1822764)	6000	Jun 2026	Jiahao He	Unique
1224	(106050 − 518) / 837059097353974734781606790587421200913200733463406	6000	Feb 2024	Edwin Hall
1225	(77119 + 450) / 156413412894410789	6000	Feb 2024	Edwin Hall
1226	105999 + 30913	6000	Jan 2026	Oliver Kruse	2nd smallest 6000 digit prime