What is a PRP ?
A PRP is a probable prime number, a number that nobody knows how to prove
or disprove its primality.
Here are some criterions that can be used to recognize these numbers
:
- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N
should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3.
N should pass the strong test in base b.
- or more (if someone has got an idea) !!!
Submit your PRPs
See the Top discoverers
See the Latest PRPs
Search by form
Rank |
Probable prime |
Digits (> 50000) |
Who ? |
When ? |
7008 | 2^338891-18885 | 102017 | Enzo Doria | 05/2013 |
7001 | 2^338893+128727 | 102017 | Stefano Morozzi | 01/2022 |
7002 | 2^338890-52965 | 102017 | Stefano Morozzi | 01/2022 |
7003 | 2^338892-55467 | 102017 | Stefano Morozzi | 02/2022 |
7004 | 2^338892-83393 | 102017 | Stefano Morozzi | 04/2022 |
7005 | 2^338893+13649 | 102017 | Stefano Morozzi | 05/2022 |
7006 | 2^338892+117957 | 102017 | Stefano Morozzi | 09/2022 |
7007 | 2^338892-14643 | 102017 | Stefano Morozzi | 01/2023 |
7009 | 2^338887+154029 | 102016 | Stefano Morozzi | 01/2022 |
7010 | 2^338889-104293 | 102016 | Stefano Morozzi | 02/2022 |
7011 | 2^338887+147741 | 102016 | Stefano Morozzi | 11/2022 |
7012 | 2^338889+195975 | 102016 | Stefano Morozzi | 11/2022 |
7013 | 2^338889-117873 | 102016 | Stefano Morozzi | 02/2023 |
7014 | 2^338886+177159 | 102015 | Stefano Morozzi | 12/2021 |
7015 | 2^338885+40425 | 102015 | Stefano Morozzi | 06/2022 |
7016 | 2^338884-13053 | 102015 | Stefano Morozzi | 12/2022 |
7017 | 2^338885-112569 | 102015 | Stefano Morozzi | 12/2022 |
7018 | 2^338880+11341 | 102014 | Stefano Morozzi | 03/2022 |
7019 | 2^338880-160383 | 102014 | Stefano Morozzi | 06/2022 |
7020 | 2^338880-161627 | 102014 | Stefano Morozzi | 12/2022 |
7021 | 2^338879-1059 | 102013 | Stefano Morozzi | 12/2021 |
7022 | 2^338879-54525 | 102013 | Stefano Morozzi | 02/2022 |
7023 | 2^338877-82813 | 102013 | Stefano Morozzi | 03/2022 |
7024 | 2^338878-185883 | 102013 | Stefano Morozzi | 06/2022 |
7025 | 2^338879-60355 | 102013 | Stefano Morozzi | 06/2022 |
7026 | 2^338878+43719 | 102013 | Stefano Morozzi | 09/2022 |
7027 | 2^338879+122049 | 102013 | Stefano Morozzi | 11/2022 |
7028 | 2^338874-15063 | 102012 | Stefano Morozzi | 01/2023 |
7029 | 2^338874+148993 | 102012 | Stefano Morozzi | 02/2023 |
7030 | 2^338871+7679 | 102011 | Stefano Morozzi | 02/2022 |
7031 | 2^338872+61141 | 102011 | Stefano Morozzi | 03/2022 |
7032 | 2^338872-183923 | 102011 | Stefano Morozzi | 04/2022 |
7033 | 2^338873+19527 | 102011 | Stefano Morozzi | 09/2022 |
7034 | 2^338870+70719 | 102011 | Stefano Morozzi | 11/2022 |
7035 | (19*10^102011+287)/9/3 | 102011 | Alfred Reich | 11/2022 |
7036 | 2^338870-37571 | 102011 | Stefano Morozzi | 12/2022 |
7037 | 2^338872-138573 | 102011 | Stefano Morozzi | 12/2022 |
7038 | 2^338873-63843 | 102011 | Stefano Morozzi | 12/2022 |
7039 | 2^338868-5985 | 102010 | Stefano Morozzi | 02/2022 |
7040 | 2^338867+38079 | 102010 | Stefano Morozzi | 05/2022 |
7041 | 2^338868+140437 | 102010 | Stefano Morozzi | 06/2022 |
7042 | 2^338868-110175 | 102010 | Stefano Morozzi | 06/2022 |
7043 | 2^338868+123337 | 102010 | Stefano Morozzi | 11/2022 |
7044 | 2^338867-13327 | 102010 | Stefano Morozzi | 12/2022 |
7045 | 2^338868-11279 | 102010 | Stefano Morozzi | 12/2022 |
7046 | 2^338868-115685 | 102010 | Stefano Morozzi | 01/2023 |
7047 | 2^338864+158191 | 102009 | Stefano Morozzi | 02/2022 |
7048 | 2^338865-39699 | 102009 | Stefano Morozzi | 01/2023 |
7049 | 2^338865-40789 | 102009 | Stefano Morozzi | 01/2023 |
7050 | 2^338862+60433 | 102008 | Stefano Morozzi | 03/2022 |
7051 | 2^338861-9453 | 102008 | Stefano Morozzi | 04/2022 |
7052 | 2^338861+98067 | 102008 | Stefano Morozzi | 11/2022 |
7053 | 2^338862+146545 | 102008 | Stefano Morozzi | 11/2022 |
7054 | 2^338863-186207 | 102008 | Stefano Morozzi | 12/2022 |
7055 | 2^338860-41429 | 102008 | Stefano Morozzi | 01/2023 |
7056 | 2^338862-115833 | 102008 | Stefano Morozzi | 01/2023 |
7057 | 2^338863+74259 | 102008 | Stefano Morozzi | 02/2023 |
7058 | 2^338863-193017 | 102008 | Stefano Morozzi | 02/2023 |
7059 | 2^338858-190185 | 102007 | Stefano Morozzi | 01/2023 |
7060 | 2^338855+102141 | 102006 | Stefano Morozzi | 12/2021 |
7061 | 2^338856-27173 | 102006 | Stefano Morozzi | 12/2021 |
7062 | 2^338856-102839 | 102006 | Stefano Morozzi | 01/2022 |
7063 | 2^338855+79629 | 102006 | Stefano Morozzi | 01/2022 |
7064 | 2^338856+47755 | 102006 | Stefano Morozzi | 11/2022 |
7065 | 2^338850+27987 | 102005 | Stefano Morozzi | 01/2022 |
7066 | 2^338853+111791 | 102005 | Stefano Morozzi | 04/2022 |
7067 | 2^338852+145797 | 102005 | Stefano Morozzi | 11/2022 |
7068 | 2^338852-88497 | 102005 | Stefano Morozzi | 12/2022 |
7069 | 2^338850+124843 | 102005 | Stefano Morozzi | 02/2023 |
7070 | 2^338853-167695 | 102005 | Stefano Morozzi | 02/2023 |
7071 | 2^338847+176013 | 102004 | Stefano Morozzi | 12/2021 |
7072 | 2^338847-2365 | 102004 | Stefano Morozzi | 12/2021 |
7073 | 2^338848+158941 | 102004 | Stefano Morozzi | 03/2022 |
7074 | 2^338848+16671 | 102004 | Stefano Morozzi | 06/2022 |
7075 | 2^338847-35061 | 102004 | Stefano Morozzi | 06/2022 |
7076 | 2^338848+145063 | 102004 | Stefano Morozzi | 11/2022 |
7077 | 2^338847-61885 | 102004 | Stefano Morozzi | 12/2022 |
7078 | 2^338845+135831 | 102003 | Stefano Morozzi | 03/2022 |
7079 | 2^338846+85695 | 102003 | Stefano Morozzi | 03/2022 |
7080 | 2^338845+186525 | 102003 | Stefano Morozzi | 04/2022 |
7081 | 2^338846-163473 | 102003 | Stefano Morozzi | 12/2022 |
7082 | 2^338844-16077 | 102003 | Stefano Morozzi | 01/2023 |
7083 | 2^338844-165143 | 102003 | Stefano Morozzi | 01/2023 |
7084 | 2^338843-127261 | 102002 | Stefano Morozzi | 12/2021 |
7085 | 2^338843+107205 | 102002 | Stefano Morozzi | 02/2022 |
7086 | 2^338842-33185 | 102002 | Stefano Morozzi | 04/2022 |
7087 | 2^338842+14227 | 102002 | Stefano Morozzi | 05/2022 |
7088 | 2^338842+147973 | 102002 | Stefano Morozzi | 11/2022 |
7096 | 8*10^102000+51 | 102001 | Robert Price | 08/2019 |
7089 | 2^338838+150837 | 102001 | Stefano Morozzi | 11/2021 |
7090 | 2^338838+141397 | 102001 | Stefano Morozzi | 06/2022 |
7091 | 2^338839+194363 | 102001 | Stefano Morozzi | 09/2022 |
7092 | 2^338838+95637 | 102001 | Stefano Morozzi | 11/2022 |
7093 | 2^338839+171545 | 102001 | Stefano Morozzi | 11/2022 |
7094 | 2^338837-40071 | 102001 | Stefano Morozzi | 01/2023 |
7095 | 2^338838-90251 | 102001 | Stefano Morozzi | 01/2023 |
7097 | 2^338835-150625 | 102000 | Stefano Morozzi | 12/2021 |
7098 | 2^338834-32877 | 102000 | Stefano Morozzi | 04/2022 |
7102 | (2^338832+642)/2 | 101999 | Stefano Morozzi | 09/2020 |
7099 | 2^338833-100905 | 101999 | Stefano Morozzi | 12/2021 |
7100 | 2^338831+54419 | 101999 | Stefano Morozzi | 01/2022 |
7101 | 2^338831-63687 | 101999 | Stefano Morozzi | 12/2022 |
7110 | 2^338829-113239 | 101998 | Enzo Doria | 07/2014 |
7111 | 2^338828-113297 | 101998 | Enzo Doria | 07/2014 |
7103 | 2^338830+25017 | 101998 | Stefano Morozzi | 11/2021 |
7104 | 2^338831+321 | 101998 | Stefano Morozzi | 11/2021 |
7105 | 2^338827-26197 | 101998 | Stefano Morozzi | 12/2021 |
7106 | 2^338829+52727 | 101998 | Stefano Morozzi | 01/2022 |
7107 | 2^338827-55461 | 101998 | Stefano Morozzi | 02/2022 |
7108 | 2^338828-65859 | 101998 | Stefano Morozzi | 01/2023 |
7109 | 2^338829+99365 | 101998 | Stefano Morozzi | 02/2023 |
7112 | 2^338825-27453 | 101997 | Stefano Morozzi | 12/2021 |
7113 | 2^338824+89355 | 101997 | Stefano Morozzi | 05/2022 |
7114 | 2^338825-10995 | 101997 | Stefano Morozzi | 06/2022 |
7115 | 2^338824+149865 | 101997 | Stefano Morozzi | 02/2023 |
7116 | 2^338822+111175 | 101996 | Stefano Morozzi | 03/2022 |
7117 | 2^338822+187819 | 101996 | Stefano Morozzi | 04/2022 |
7118 | 2^338823+139545 | 101996 | Stefano Morozzi | 05/2022 |
7119 | 2^338823-184905 | 101996 | Stefano Morozzi | 06/2022 |
7120 | 2^338821-38919 | 101996 | Stefano Morozzi | 12/2022 |
7121 | 2^338820+41317 | 101995 | Stefano Morozzi | 06/2022 |
7122 | 2^338817+46019 | 101995 | Stefano Morozzi | 11/2022 |
7123 | 2^338820+148083 | 101995 | Stefano Morozzi | 11/2022 |
7124 | 2^338817-163251 | 101995 | Stefano Morozzi | 12/2022 |
7125 | 2^338819-63705 | 101995 | Stefano Morozzi | 12/2022 |
7126 | 2^338817-92509 | 101995 | Stefano Morozzi | 02/2023 |
7127 | 2^338815+151175 | 101994 | Stefano Morozzi | 12/2021 |
7128 | 2^338814-30011 | 101994 | Stefano Morozzi | 02/2022 |
7129 | 2^338814+12309 | 101994 | Stefano Morozzi | 04/2022 |
7130 | 2^338816-60647 | 101994 | Stefano Morozzi | 06/2022 |
7131 | 2^338816+171043 | 101994 | Stefano Morozzi | 11/2022 |
7132 | 2^338814-11513 | 101994 | Stefano Morozzi | 12/2022 |
7133 | 2^338811-126999 | 101993 | Stefano Morozzi | 12/2021 |
7134 | 2^338811+131621 | 101993 | Stefano Morozzi | 02/2022 |
7135 | 2^338812-107637 | 101993 | Stefano Morozzi | 03/2022 |
7136 | 2^338813+192725 | 101993 | Stefano Morozzi | 09/2022 |
7137 | 2^338812+94731 | 101993 | Stefano Morozzi | 11/2022 |
7138 | 2^338813+49205 | 101993 | Stefano Morozzi | 02/2023 |
7139 | 2^338809-152755 | 101992 | Stefano Morozzi | 01/2022 |
7140 | 2^338808+156531 | 101992 | Stefano Morozzi | 01/2022 |
7141 | 2^338808+7885 | 101992 | Stefano Morozzi | 02/2022 |
7142 | 2^338808-105797 | 101992 | Stefano Morozzi | 02/2022 |
7143 | 2^338807-35899 | 101992 | Stefano Morozzi | 06/2022 |
7144 | 2^338808-89175 | 101992 | Stefano Morozzi | 01/2023 |
7145 | 2^338808-91475 | 101992 | Stefano Morozzi | 01/2023 |
7146 | 2^338805+29879 | 101991 | Stefano Morozzi | 01/2022 |
7147 | 2^338805+157925 | 101991 | Stefano Morozzi | 02/2022 |
7148 | 2^338804-6809 | 101991 | Stefano Morozzi | 03/2022 |
7149 | 2^338806-157095 | 101991 | Stefano Morozzi | 03/2022 |
7150 | 2^338804-133173 | 101991 | Stefano Morozzi | 04/2022 |
7151 | 2^338805-115189 | 101991 | Stefano Morozzi | 01/2023 |
7152 | 2^338802+150403 | 101990 | Stefano Morozzi | 11/2021 |
7153 | 2^338801+154587 | 101990 | Stefano Morozzi | 01/2022 |
7154 | 2^338802-180603 | 101990 | Stefano Morozzi | 02/2022 |
7155 | 2^338803-31921 | 101990 | Stefano Morozzi | 03/2022 |
7156 | 2^338803-81735 | 101990 | Stefano Morozzi | 03/2022 |
7157 | 2^338803+195141 | 101990 | Stefano Morozzi | 11/2022 |
7158 | 2^338800+160141 | 101989 | Stefano Morozzi | 03/2022 |
7159 | 2^338797-82489 | 101989 | Stefano Morozzi | 03/2022 |
7164 | 2^338796+93 | 101988 | Donovan Johnson | 06/2008 |
7160 | 2^338795+455 | 101988 | Stefano Morozzi | 11/2021 |
7161 | 2^338795-102075 | 101988 | Stefano Morozzi | 12/2021 |
7162 | 2^338794-3483 | 101988 | Stefano Morozzi | 01/2022 |
7163 | 2^338796+179641 | 101988 | Stefano Morozzi | 01/2022 |
7165 | 2^338793-5155 | 101987 | Stefano Morozzi | 02/2022 |
7166 | 2^338793+111107 | 101987 | Stefano Morozzi | 03/2022 |
7167 | 2^338791+112083 | 101987 | Stefano Morozzi | 04/2022 |
7168 | 2^338792-85097 | 101987 | Stefano Morozzi | 06/2022 |
7169 | (61*10^101986+47)/9 | 101987 | Robert Price | 07/2022 |
7170 | 2^338787+53309 | 101986 | Stefano Morozzi | 01/2022 |
7171 | 2^338787-153817 | 101986 | Stefano Morozzi | 01/2022 |
7172 | 2^338789+56229 | 101986 | Stefano Morozzi | 01/2022 |
7173 | 2^338790+6429 | 101986 | Stefano Morozzi | 01/2022 |
7174 | 2^338788+131701 | 101986 | Stefano Morozzi | 02/2022 |
7175 | 2^338785+104639 | 101985 | Stefano Morozzi | 01/2022 |
7176 | 2^338784+37591 | 101985 | Stefano Morozzi | 04/2022 |
7177 | 2^338786-9831 | 101985 | Stefano Morozzi | 04/2022 |
7178 | 2^338783+109065 | 101984 | Stefano Morozzi | 03/2022 |
7179 | 2^338779+86711 | 101983 | Stefano Morozzi | 04/2022 |
7180 | 2^338778+113589 | 101983 | Stefano Morozzi | 05/2022 |
7181 | 2^338775-30369 | 101982 | Stefano Morozzi | 02/2022 |
7182 | 2^338774+159135 | 101982 | Stefano Morozzi | 03/2022 |
7183 | 2^338776+113001 | 101982 | Stefano Morozzi | 04/2022 |
7184 | 2^338774+117039 | 101982 | Stefano Morozzi | 09/2022 |
7185 | 2^338775+167109 | 101982 | Stefano Morozzi | 09/2022 |
7186 | 2^338774+147595 | 101982 | Stefano Morozzi | 11/2022 |
7187 | 2^338772+42733 | 101981 | Stefano Morozzi | 09/2022 |
7188 | 2^338771-138805 | 101981 | Stefano Morozzi | 12/2022 |
7189 | 2^338768-181007 | 101980 | Stefano Morozzi | 02/2022 |
7190 | 2^338768+108807 | 101980 | Stefano Morozzi | 03/2022 |
7191 | 2^338767+169155 | 101980 | Stefano Morozzi | 09/2022 |
7192 | 2^338769+95369 | 101980 | Stefano Morozzi | 11/2022 |
7193 | 2^338769+195965 | 101980 | Stefano Morozzi | 11/2022 |
7194 | 2^338770-12725 | 101980 | Stefano Morozzi | 12/2022 |
7195 | 2^338768-140843 | 101980 | Stefano Morozzi | 01/2023 |
7196 | 2^338764+138013 | 101979 | Stefano Morozzi | 04/2022 |
7197 | 2^338765-160323 | 101979 | Stefano Morozzi | 06/2022 |
7198 | 2^338765+124545 | 101979 | Stefano Morozzi | 02/2023 |
7204 | lucasU(1373,1,32502)-lucasU(1373,1,32501) | 101978 | Mike Oakes | 05/2009 |
7199 | 2^338761+103671 | 101978 | Stefano Morozzi | 01/2022 |
7200 | 2^338763-7651 | 101978 | Stefano Morozzi | 03/2022 |
7201 | 2^338763+65591 | 101978 | Stefano Morozzi | 06/2022 |
7202 | 2^338762-111875 | 101978 | Stefano Morozzi | 12/2022 |
7203 | 2^338762-192237 | 101978 | Stefano Morozzi | 02/2023 |
7205 | 2^338757-5151 | 101977 | Stefano Morozzi | 02/2022 |
7206 | 2^338760-79037 | 101977 | Stefano Morozzi | 02/2022 |
7207 | 2^338757-82143 | 101977 | Stefano Morozzi | 03/2022 |
7208 | 2^338757+137007 | 101977 | Stefano Morozzi | 04/2022 |
7209 | 2^338755+158531 | 101976 | Stefano Morozzi | 03/2022 |
7210 | 2^338755+74081 | 101976 | Stefano Morozzi | 02/2023 |
7211 | 2^338752-153353 | 101975 | Stefano Morozzi | 01/2022 |
7212 | 2^338751+8001 | 101975 | Stefano Morozzi | 02/2022 |
7213 | 2^338752+32977 | 101975 | Stefano Morozzi | 02/2022 |
7214 | 2^338753-79233 | 101975 | Stefano Morozzi | 02/2022 |
7215 | 2^338752-88157 | 101975 | Stefano Morozzi | 12/2022 |
7216 | 2^338750-175625 | 101974 | Stefano Morozzi | 12/2021 |
7217 | 2^338747-2731 | 101974 | Stefano Morozzi | 12/2021 |
7218 | 2^338750-29597 | 101974 | Stefano Morozzi | 02/2022 |
7219 | 2^338748+35095 | 101974 | Stefano Morozzi | 03/2022 |
7220 | 2^338747+137475 | 101974 | Stefano Morozzi | 04/2022 |
7221 | 2^338747+162005 | 101974 | Stefano Morozzi | 04/2022 |
7222 | 2^338750+162237 | 101974 | Stefano Morozzi | 04/2022 |
7223 | 2^338747-184365 | 101974 | Stefano Morozzi | 04/2022 |
7224 | 2^338748+64341 | 101974 | Stefano Morozzi | 05/2022 |
7225 | 2^338750+24445 | 101974 | Stefano Morozzi | 02/2023 |
7226 | 2^338746+59577 | 101973 | Stefano Morozzi | 03/2022 |
7227 | 2^338746+62055 | 101973 | Stefano Morozzi | 04/2022 |
7228 | 2^338744+194065 | 101973 | Stefano Morozzi | 09/2022 |
7229 | 2^338741+25359 | 101972 | Stefano Morozzi | 12/2021 |
7230 | 2^338743+176981 | 101972 | Stefano Morozzi | 12/2021 |
7231 | 2^338741+183029 | 101972 | Stefano Morozzi | 02/2022 |
7232 | 2^338743-130309 | 101972 | Stefano Morozzi | 02/2022 |
7233 | 2^338741+86349 | 101972 | Stefano Morozzi | 04/2022 |
7234 | 2^338741+111561 | 101972 | Stefano Morozzi | 04/2022 |
7235 | 2^338743+172301 | 101972 | Stefano Morozzi | 11/2022 |
7236 | 2^338741-189969 | 101972 | Stefano Morozzi | 01/2023 |
7237 | 2^338739+76959 | 101971 | Stefano Morozzi | 12/2021 |
7238 | 2^338739-105957 | 101971 | Stefano Morozzi | 02/2022 |
7239 | 2^338739+190149 | 101971 | Stefano Morozzi | 05/2022 |
7240 | 2^338738+64947 | 101971 | Stefano Morozzi | 05/2022 |
7241 | 2^338740+119947 | 101971 | Stefano Morozzi | 11/2022 |
7242 | 2^338740-186837 | 101971 | Stefano Morozzi | 12/2022 |
7243 | 2^338737+127547 | 101970 | Stefano Morozzi | 12/2021 |
7244 | 2^338737+128591 | 101970 | Stefano Morozzi | 01/2022 |
7245 | 2^338735-153165 | 101970 | Stefano Morozzi | 01/2022 |
7246 | 2^338734+13719 | 101970 | Stefano Morozzi | 05/2022 |
7247 | 2^338734-138225 | 101970 | Stefano Morozzi | 12/2022 |
7248 | 2^338735-186129 | 101970 | Stefano Morozzi | 12/2022 |
7249 | 2^338731-150895 | 101969 | Stefano Morozzi | 12/2021 |
7250 | 2^338731+54911 | 101969 | Stefano Morozzi | 01/2022 |