Database Search Output
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rank description digits who year comment
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1 2^136279841-1 41024320 MP1 2024 Mersenne 52? (**)
2 2^82589933-1 24862048 G16 2018 Mersenne 51 (**)
3 2^77232917-1 23249425 G15 2018 Mersenne 50 (**)
4 2^74207281-1 22338618 G14 2016 Mersenne 49 (**)
5 2^57885161-1 17425170 G13 2013 Mersenne 48 (**)
6 2524190^2097152+1 13426224 L4245 2025 Generalized Fermat
7 2^43112609-1 12978189 G10 2008 Mersenne 47 (**)
8 2^42643801-1 12837064 G12 2009 Mersenne 46 (**)
9 516693^2097152-516693^1048576+1
11981518 L4561 2023 Generalized unique (**)
10 465859^2097152-465859^1048576+1
11887192 L4561 2023 Generalized unique (**)
11 2^37156667-1 11185272 G11 2008 Mersenne 45 (**)
12 2^32582657-1 9808358 G9 2006 Mersenne 44 (**)
13 10223*2^31172165+1 9383761 SB12 2016 (**)
14 2^30402457-1 9152052 G9 2005 Mersenne 43 (**)
15 4*5^11786358+1 8238312 A2 2024
Generalized Fermat (**)
16 2^25964951-1 7816230 G8 2005 Mersenne 42 (**)
17 4052186*69^4052186+1 7451366 A61 2025 Generalized Cullen
18 69*2^24612729-1 7409172 A2 2024
19 2^24036583-1 7235733 G7 2004 Mersenne 41 (**)
20 7172162^1048576+1 7188671 L5639 2026 Generalized Fermat
21 5336284^1048576+1 7054022 L5543 2025 Generalized Fermat
22 107347*2^23427517-1 7052391 A2 2024
23 3*2^23157875-1 6971216 L5171 2025
24 3843236^1048576+1 6904556 L6094 2024 Generalized Fermat
25 3*2^22103376-1 6653780 L6075 2024
26 1963736^1048576+1 6598776 L4245 2022
Generalized Fermat (**)
27 1951734^1048576+1 6595985 L5583 2022
Generalized Fermat (**)
28 202705*2^21320516+1 6418121 L5181 2021 (**)
29 2^20996011-1 6320430 G6 2003 Mersenne 40 (**)
30 1059094^1048576+1 6317602 L4720 2018
Generalized Fermat (**)
31 3*2^20928756-1 6300184 L5799 2023 (**)
32 919444^1048576+1 6253210 L4286 2017
Generalized Fermat (**)
33 81*2^20498148+1 6170560 L4965 2023 Generalized Fermat
34 7*2^20267500+1 6101127 L4965 2022
Divides GF(20267499,12) [GG] (**)
35 4*5^8431178+1 5893142 A2 2024 Generalized Fermat
36 168451*2^19375200+1 5832522 L4676 2017 (**)
37 69*2^19374980-1 5832452 L4965 2022
38 3*2^18924988-1 5696990 L5530 2022 (**)
39 69*2^18831865-1 5668959 L4965 2021
40 2*3^11879700+1 5668058 A2 2024
41 97139*2^18397548-1 5538219 L4965 2023
42 7*2^18233956+1 5488969 L4965 2020
Divides Fermat F(18233954) (**)
43 3*2^18196595-1 5477722 L5461 2022 (**)
44 4*3^11279466+1 5381674 A2 2024
Generalized Fermat (**)
45 3*2^17748034-1 5342692 L5404 2021 (**)
46 123447^1048576-123447^524288+1 5338805 L4561 2017
Generalized unique (**)
47 31*2^17681433-1 5322644 A2 2026
48 15*2^17609618+1 5301025 A2 2026
Divides GF(17609614,5), GF(17609614,12) [GG] (**)
49 3622*5^7558139-1 5282917 L4965 2022
51 7*6^6772401+1 5269954 L4965 2019
52 2*3^10852677+1 5178044 L4965 2023
Divides Phi(3^10852674,2) (**)
53 8508301*2^17016603-1 5122515 L4784 2018 Woodall (**)
54 8*10^5112847-1 5112848 A19 2024 Near-repdigit
55 13*2^16828072+1 5065756 A2 2023 (**)
56 3*2^16819291-1 5063112 L5230 2021 (**)
57 5287180*3^10574360-1 5045259 A20 2024
Generalized Woodall (**)
58 3*2^16408818+1 4939547 L5171 2020
Divides GF(16408814,3), GF(16408817,5) (**)
59 2329989*2^16309923-1 4909783 A20 2024
Generalized Woodall (**)
60 69*2^15866556-1 4776312 L4965 2021
61 2036*3^10009192+1 4775602 A2 2024
62 2525532*73^2525532+1 4705888 L5402 2021
Generalized Cullen (**)
63 1419499*2^15614489-1 4700436 A20 2024
Generalized Woodall (**)
64 11*2^15502315+1 4666663 L4965 2023
Divides GF(15502313,10) [GG] (**)
65 (10^2332974+1)^2-2 4665949 p405 2024
66 37*2^15474010+1 4658143 L4965 2022 (**)
67 93839*2^15337656-1 4617100 L4965 2022
68 2^15317227+2^7658614+1 4610945 L5123 2020
Gaussian Mersenne norm 41?, generalized unique (**)
69 13*2^15294536+1 4604116 A2 2023 (**)
70 6*5^6546983+1 4576146 L4965 2020
71 4788920*3^9577840-1 4569798 A20 2024
Generalized Woodall (**)
72 31*2^15145093-1 4559129 A2 2025
73 69*2^14977631-1 4508719 L4965 2021
74 192971*2^14773498-1 4447272 L4965 2021
75 4*3^9214845+1 4396600 A2 2024
76 9145334*3^9145334+1 4363441 A6 2023 Generalized Cullen
77 4*5^6181673-1 4320805 L4965 2022
78 396101*2^14259638-1 4292585 A20 2024
Generalized Woodall (**)
79 6962*31^2863120-1 4269952 L5410 2020
80 37*2^14166940+1 4264676 L4965 2022
81 99739*2^14019102+1 4220176 L5008 2019 (**)
82 69*2^13832885-1 4164116 L4965 2022
83 9562633#+1 4151498 p451 2025 Primorial
84 404849*2^13764867+1 4143644 L4976 2021
Generalized Cullen (**)
85 25*2^13719266+1 4129912 L4965 2022
Generalized Fermat (**)
86 81*2^13708272+1 4126603 L4965 2022
Generalized Fermat (**)
87 2740879*2^13704395-1 4125441 L4976 2019
Generalized Woodall (**)
88 479216*3^8625889-1 4115601 L4976 2019
Generalized Woodall (**)
89 13*2^13584543-1 4089357 A2 2025
90 31*2^13514933-1 4068402 A2 2025
91 143332^786432-143332^393216+1 4055114 L4506 2017
Generalized unique (**)
92 81*2^13470584+1 4055052 L4965 2022 Generalized Fermat
93 2^13466917-1 4053946 G5 2001 Mersenne 39 (**)
94 5778486*5^5778486+1 4038996 A6 2024 Generalized Cullen
95 9*2^13334487+1 4014082 L4965 2020
Divides GF(13334485,3) (**)
96 6*10^4000494-1 4000495 A19 2026 Near-repdigit
97 206039*2^13104952-1 3944989 L4965 2021
98 2805222*5^5610444+1 3921539 L4972 2019
Generalized Cullen (**)
99 5128*22^2919993+1 3919869 L5811 2024
100 19249*2^13018586+1 3918990 SB10 2007 (**)
101 29002212^524288+1 3912464 L6375 2026 Generalized Fermat
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This search used 0.088 second(s) to find 100 primes
matching the selection criteria:
Number of primes to find 100. Query required 0.0876 seconds.
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