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
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Rank |
Probable prime |
Digits (> 50000) |
Who ? |
When ? |
7001 | 2^338443-113827 | 101882 | Stefano Morozzi | 12/2022 |
7002 | 2^338441-5893 | 101881 | Stefano Morozzi | 02/2022 |
7003 | 2^338439-162565 | 101881 | Stefano Morozzi | 12/2022 |
7004 | 2^338436+153657 | 101880 | Stefano Morozzi | 01/2022 |
7005 | 2^338437-153159 | 101880 | Stefano Morozzi | 01/2022 |
7006 | 2^338436-83783 | 101880 | Stefano Morozzi | 04/2022 |
7007 | 2^338435+89109 | 101880 | Stefano Morozzi | 05/2022 |
7008 | 2^338435+13871 | 101880 | Stefano Morozzi | 05/2022 |
7009 | 2^338434+81537 | 101879 | Stefano Morozzi | 01/2022 |
7010 | 2^338432+33495 | 101879 | Stefano Morozzi | 03/2022 |
7011 | 2^338432-7043 | 101879 | Stefano Morozzi | 03/2022 |
7012 | 2^338433-32629 | 101879 | Stefano Morozzi | 03/2022 |
7013 | 2^338430-9903 | 101878 | Stefano Morozzi | 04/2022 |
7020 | 2^338426-19797 | 101877 | Enzo Doria | 06/2013 |
7014 | 2^338427-77797 | 101877 | Stefano Morozzi | 01/2022 |
7015 | 2^338427-178687 | 101877 | Stefano Morozzi | 01/2022 |
7016 | 2^338428-54873 | 101877 | Stefano Morozzi | 02/2022 |
7017 | 2^338425+41357 | 101877 | Stefano Morozzi | 06/2022 |
7018 | 2^338428+90855 | 101877 | Stefano Morozzi | 06/2022 |
7019 | 2^338428-39807 | 101877 | Stefano Morozzi | 01/2023 |
7021 | 2^338422-188787 | 101876 | Stefano Morozzi | 12/2022 |
7022 | 2^338423-187755 | 101876 | Stefano Morozzi | 12/2022 |
7023 | 2^338422-115865 | 101876 | Stefano Morozzi | 01/2023 |
7024 | 2^338420-178829 | 101875 | Stefano Morozzi | 01/2022 |
7025 | 2^338421-105423 | 101875 | Stefano Morozzi | 02/2022 |
7026 | 2^338419-82761 | 101875 | Stefano Morozzi | 03/2022 |
7027 | 2^338420+193143 | 101875 | Stefano Morozzi | 09/2022 |
7028 | 2^338418-50903 | 101874 | Stefano Morozzi | 12/2021 |
7029 | 2^338418+158355 | 101874 | Stefano Morozzi | 02/2022 |
7030 | 2^338418+159339 | 101874 | Stefano Morozzi | 03/2022 |
7031 | 2^338416+14953 | 101874 | Stefano Morozzi | 05/2022 |
7032 | 2^338416+166051 | 101874 | Stefano Morozzi | 06/2022 |
7033 | 2^338418-138765 | 101874 | Stefano Morozzi | 12/2022 |
7034 | 2^338413-125919 | 101873 | Stefano Morozzi | 12/2021 |
7035 | 2^338414+26083 | 101873 | Stefano Morozzi | 12/2021 |
7036 | 2^338412-152379 | 101873 | Stefano Morozzi | 12/2021 |
7037 | 2^338413+54797 | 101873 | Stefano Morozzi | 01/2022 |
7038 | 2^338412+157951 | 101873 | Stefano Morozzi | 02/2022 |
7039 | 2^338414+81627 | 101873 | Stefano Morozzi | 02/2022 |
7040 | 2^338413+133679 | 101873 | Stefano Morozzi | 03/2022 |
7041 | 2^338413+197735 | 101873 | Stefano Morozzi | 11/2022 |
7042 | 2^338413-114301 | 101873 | Stefano Morozzi | 01/2023 |
7043 | 2^338409-52183 | 101872 | Stefano Morozzi | 12/2021 |
7044 | 2^338411-3789 | 101872 | Stefano Morozzi | 01/2022 |
7045 | 2^338409+173237 | 101872 | Stefano Morozzi | 11/2022 |
7046 | 2^338406-184175 | 101871 | Stefano Morozzi | 04/2022 |
7047 | 2^338405+94451 | 101871 | Stefano Morozzi | 09/2022 |
7048 | 2^338406-161217 | 101871 | Stefano Morozzi | 12/2022 |
7049 | 2^338404+55717 | 101870 | Stefano Morozzi | 01/2022 |
7050 | 2^338403+36261 | 101870 | Stefano Morozzi | 04/2022 |
7051 | 2^338402-34431 | 101870 | Stefano Morozzi | 04/2022 |
7052 | 2^338404-159215 | 101870 | Stefano Morozzi | 04/2022 |
7053 | 2^338403+18363 | 101870 | Stefano Morozzi | 09/2022 |
7054 | 2^338403+170235 | 101870 | Stefano Morozzi | 11/2022 |
7055 | 2^338399+23045 | 101869 | Stefano Morozzi | 11/2022 |
7056 | 2^338399-65535 | 101869 | Stefano Morozzi | 01/2023 |
7057 | 2^338395-127449 | 101868 | Stefano Morozzi | 12/2021 |
7058 | 2^338398-127637 | 101868 | Stefano Morozzi | 01/2022 |
7059 | 2^338398-166533 | 101868 | Stefano Morozzi | 01/2023 |
7060 | 2^338394+100317 | 101867 | Stefano Morozzi | 11/2021 |
7061 | 2^338393-152749 | 101867 | Stefano Morozzi | 01/2022 |
7062 | 2^338393+163025 | 101867 | Stefano Morozzi | 04/2022 |
7063 | 2^338393+89229 | 101867 | Stefano Morozzi | 05/2022 |
7064 | 2^338390+76627 | 101866 | Stefano Morozzi | 12/2021 |
7065 | 2^338389-85081 | 101866 | Stefano Morozzi | 06/2022 |
7066 | 2^338390+148113 | 101866 | Stefano Morozzi | 11/2022 |
7067 | 2^338389-14253 | 101866 | Stefano Morozzi | 01/2023 |
7068 | 2^338390-114297 | 101866 | Stefano Morozzi | 01/2023 |
7069 | 2^338391-64225 | 101866 | Stefano Morozzi | 01/2023 |
7070 | 2^338387-75685 | 101865 | Stefano Morozzi | 12/2021 |
7071 | 2^338388-53459 | 101865 | Stefano Morozzi | 01/2022 |
7072 | 2^338388-36575 | 101865 | Stefano Morozzi | 12/2022 |
7073 | 2^338385-190311 | 101865 | Stefano Morozzi | 01/2023 |
7074 | 2^338384+131563 | 101864 | Stefano Morozzi | 01/2022 |
7075 | 2^338382+109069 | 101864 | Stefano Morozzi | 03/2022 |
7076 | 2^338384+168987 | 101864 | Stefano Morozzi | 09/2022 |
7077 | 2^338380+77125 | 101863 | Stefano Morozzi | 12/2021 |
7078 | 2^338381-35539 | 101863 | Stefano Morozzi | 06/2022 |
7079 | 2^338378-125841 | 101862 | Stefano Morozzi | 12/2021 |
7080 | 2^338375+27815 | 101862 | Stefano Morozzi | 01/2022 |
7081 | 2^338375-28509 | 101862 | Stefano Morozzi | 01/2022 |
7082 | 2^338375+29985 | 101862 | Stefano Morozzi | 01/2022 |
7083 | 2^338377+157881 | 101862 | Stefano Morozzi | 02/2022 |
7084 | 2^338375+59589 | 101862 | Stefano Morozzi | 03/2022 |
7085 | 2^338378+36399 | 101862 | Stefano Morozzi | 04/2022 |
7086 | 2^338378-159773 | 101862 | Stefano Morozzi | 04/2022 |
7087 | 2^338378+14883 | 101862 | Stefano Morozzi | 05/2022 |
7088 | 2^338376+140173 | 101862 | Stefano Morozzi | 06/2022 |
7089 | 2^338375+18761 | 101862 | Stefano Morozzi | 09/2022 |
7090 | 2^338373-75103 | 101861 | Stefano Morozzi | 12/2021 |
7091 | 2^338372+128877 | 101861 | Stefano Morozzi | 01/2022 |
7092 | 2^338374-28731 | 101861 | Stefano Morozzi | 01/2022 |
7093 | 2^338374-128427 | 101861 | Stefano Morozzi | 01/2022 |
7094 | 2^338372+37875 | 101861 | Stefano Morozzi | 04/2022 |
7095 | 2^338373+161541 | 101861 | Stefano Morozzi | 04/2022 |
7096 | 2^338374+37759 | 101861 | Stefano Morozzi | 04/2022 |
7097 | 2^338372+93235 | 101861 | Stefano Morozzi | 09/2022 |
7098 | 2^338373-63273 | 101861 | Stefano Morozzi | 12/2022 |
7099 | 2^338369+29427 | 101860 | Stefano Morozzi | 01/2022 |
7100 | 2^338370+179133 | 101860 | Stefano Morozzi | 01/2022 |
7101 | 2^338369+131501 | 101860 | Stefano Morozzi | 01/2022 |
7102 | 2^338369+181649 | 101860 | Stefano Morozzi | 02/2022 |
7103 | 2^338370-4787 | 101860 | Stefano Morozzi | 02/2022 |
7104 | 2^338371-133491 | 101860 | Stefano Morozzi | 04/2022 |
7105 | 2^338371+42023 | 101860 | Stefano Morozzi | 09/2022 |
7106 | 2^338371+145323 | 101860 | Stefano Morozzi | 11/2022 |
7107 | 2^338371-138145 | 101860 | Stefano Morozzi | 12/2022 |
7114 | 2^338368-20369 | 101859 | Enzo Doria | 06/2013 |
7115 | 2^338366+74179 | 101859 | Enzo Doria | 04/2016 |
7108 | 2^338366+53853 | 101859 | Stefano Morozzi | 01/2022 |
7109 | 2^338365-31665 | 101859 | Stefano Morozzi | 03/2022 |
7110 | 2^338368-156345 | 101859 | Stefano Morozzi | 03/2022 |
7111 | 2^338366-159867 | 101859 | Stefano Morozzi | 04/2022 |
7112 | 2^338368-63509 | 101859 | Stefano Morozzi | 12/2022 |
7113 | 2^338365-190975 | 101859 | Stefano Morozzi | 01/2023 |
7116 | 2^338362-180845 | 101858 | Stefano Morozzi | 02/2022 |
7117 | 2^338364-155769 | 101858 | Stefano Morozzi | 02/2022 |
7118 | 2^338362+142843 | 101858 | Stefano Morozzi | 09/2022 |
7119 | 2^338362+170019 | 101858 | Stefano Morozzi | 11/2022 |
7120 | 2^338361-100875 | 101857 | Stefano Morozzi | 12/2021 |
7121 | 2^338361+154169 | 101857 | Stefano Morozzi | 01/2022 |
7122 | 2^338359-189645 | 101857 | Stefano Morozzi | 01/2023 |
7123 | 2^338356+101271 | 101856 | Stefano Morozzi | 12/2021 |
7124 | 2^338356+53383 | 101856 | Stefano Morozzi | 01/2022 |
7125 | 2^338355+59393 | 101856 | Stefano Morozzi | 03/2022 |
7126 | 2^338356+60775 | 101856 | Stefano Morozzi | 03/2022 |
7127 | 2^338356-106257 | 101856 | Stefano Morozzi | 03/2022 |
7128 | 2^338357-58921 | 101856 | Stefano Morozzi | 04/2022 |
7129 | 2^338356+94605 | 101856 | Stefano Morozzi | 09/2022 |
7130 | 2^338356+117813 | 101856 | Stefano Morozzi | 09/2022 |
7131 | 2^338358-38475 | 101856 | Stefano Morozzi | 12/2022 |
7132 | 2^338353-190291 | 101855 | Stefano Morozzi | 01/2023 |
7133 | 2^338350-152933 | 101854 | Stefano Morozzi | 01/2022 |
7134 | 2^338350+6337 | 101854 | Stefano Morozzi | 01/2022 |
7135 | 2^338350+168759 | 101854 | Stefano Morozzi | 09/2022 |
7138 | 27088^5755+5755^27088 | 101853 | Hans Havermann | 01/2019 |
7136 | 2^338347+125901 | 101853 | Stefano Morozzi | 11/2021 |
7137 | 2^338346-10643 | 101853 | Stefano Morozzi | 06/2022 |
7139 | 2^338343+152271 | 101852 | Stefano Morozzi | 12/2021 |
7140 | 2^338345+154107 | 101852 | Stefano Morozzi | 01/2022 |
7141 | 2^338342+155397 | 101852 | Stefano Morozzi | 01/2022 |
7142 | 2^338342-130767 | 101852 | Stefano Morozzi | 02/2022 |
7143 | 2^338345-30123 | 101852 | Stefano Morozzi | 02/2022 |
7144 | 2^338345+35747 | 101852 | Stefano Morozzi | 03/2022 |
7145 | 2^338345-133131 | 101852 | Stefano Morozzi | 04/2022 |
7146 | 2^338345-134559 | 101852 | Stefano Morozzi | 04/2022 |
7147 | 2^338342+170073 | 101852 | Stefano Morozzi | 11/2022 |
7148 | 2^338344+46567 | 101852 | Stefano Morozzi | 11/2022 |
7149 | 2^338344+97141 | 101852 | Stefano Morozzi | 11/2022 |
7150 | 2^338342-162213 | 101852 | Stefano Morozzi | 12/2022 |
7151 | 2^338339+2753 | 101851 | Stefano Morozzi | 12/2021 |
7152 | 2^338341+128415 | 101851 | Stefano Morozzi | 01/2022 |
7153 | 2^338338+2677 | 101850 | Stefano Morozzi | 12/2021 |
7154 | 2^338336+54607 | 101850 | Stefano Morozzi | 01/2022 |
7155 | 2^338338+109999 | 101850 | Stefano Morozzi | 03/2022 |
7156 | 2^338336+161575 | 101850 | Stefano Morozzi | 04/2022 |
7157 | 2^338335+51975 | 101849 | Stefano Morozzi | 12/2021 |
7158 | 2^338335-152607 | 101849 | Stefano Morozzi | 01/2022 |
7159 | 2^338334+55273 | 101849 | Stefano Morozzi | 01/2022 |
7160 | 2^338332+34315 | 101849 | Stefano Morozzi | 03/2022 |
7161 | 2^338335+158759 | 101849 | Stefano Morozzi | 03/2022 |
7162 | 2^338332+67621 | 101849 | Stefano Morozzi | 09/2022 |
7163 | 2^338332-66099 | 101849 | Stefano Morozzi | 01/2023 |
7164 | 2^338334-191043 | 101849 | Stefano Morozzi | 01/2023 |
7165 | 2^338331+83403 | 101848 | Stefano Morozzi | 02/2022 |
7166 | 2^338330-110865 | 101848 | Stefano Morozzi | 06/2022 |
7167 | 2^338330+71047 | 101848 | Stefano Morozzi | 11/2022 |
7168 | 2^338328-5295 | 101847 | Stefano Morozzi | 02/2022 |
7169 | 2^338327+143585 | 101847 | Stefano Morozzi | 09/2022 |
7170 | 2^338324-179667 | 101846 | Stefano Morozzi | 02/2022 |
7171 | 2^338322+21903 | 101846 | Stefano Morozzi | 11/2022 |
7172 | 2^338324+98047 | 101846 | Stefano Morozzi | 11/2022 |
7173 | 2^338323-87729 | 101846 | Stefano Morozzi | 12/2022 |
7174 | 2^338322-16667 | 101846 | Stefano Morozzi | 01/2023 |
7175 | 2^338316-175857 | 101844 | Stefano Morozzi | 12/2021 |
7176 | 2^338318+54405 | 101844 | Stefano Morozzi | 01/2022 |
7177 | 2^338316+32961 | 101844 | Stefano Morozzi | 02/2022 |
7178 | 2^338317+68175 | 101844 | Stefano Morozzi | 09/2022 |
7179 | 2^338318-86171 | 101844 | Stefano Morozzi | 12/2022 |
7180 | 2^338315-178635 | 101843 | Stefano Morozzi | 01/2022 |
7181 | 2^338315+34899 | 101843 | Stefano Morozzi | 03/2022 |
7182 | 2^338314-106973 | 101843 | Stefano Morozzi | 03/2022 |
7183 | 2^338313+170411 | 101843 | Stefano Morozzi | 11/2022 |
7184 | 2^338315-88807 | 101843 | Stefano Morozzi | 12/2022 |
7185 | 2^338311-51799 | 101842 | Stefano Morozzi | 12/2021 |
7186 | 2^338309+157259 | 101842 | Stefano Morozzi | 02/2022 |
7187 | 2^338310+40903 | 101842 | Stefano Morozzi | 06/2022 |
7188 | 2^338308-55853 | 101841 | Stefano Morozzi | 02/2022 |
7189 | 2^338307+134871 | 101841 | Stefano Morozzi | 03/2022 |
7190 | 2^338307+19689 | 101841 | Stefano Morozzi | 09/2022 |
7191 | 2^338308+66873 | 101841 | Stefano Morozzi | 09/2022 |
7192 | 2^338304+78757 | 101840 | Stefano Morozzi | 01/2022 |
7193 | 2^338304-5807 | 101840 | Stefano Morozzi | 02/2022 |
7194 | 2^338305+110879 | 101840 | Stefano Morozzi | 03/2022 |
7195 | 2^338304+91147 | 101840 | Stefano Morozzi | 06/2022 |
7196 | 2^338304-64475 | 101840 | Stefano Morozzi | 01/2023 |
7197 | 2^338299+85611 | 101839 | Stefano Morozzi | 03/2022 |
7198 | 2^338299-189985 | 101839 | Stefano Morozzi | 01/2023 |
7199 | 2^338298-25571 | 101838 | Stefano Morozzi | 12/2021 |
7200 | 2^338297+35547 | 101838 | Stefano Morozzi | 03/2022 |
7201 | 2^338298+111199 | 101838 | Stefano Morozzi | 03/2022 |
7202 | 2^338297+145455 | 101838 | Stefano Morozzi | 11/2022 |
7203 | 2^338297-166285 | 101838 | Stefano Morozzi | 01/2023 |
7204 | 2^338294-150711 | 101837 | Stefano Morozzi | 12/2021 |
7205 | 2^338294+177597 | 101837 | Stefano Morozzi | 12/2021 |
7206 | 2^338294-177807 | 101837 | Stefano Morozzi | 01/2022 |
7207 | 2^338295-52929 | 101837 | Stefano Morozzi | 01/2022 |
7208 | 2^338293+37407 | 101837 | Stefano Morozzi | 04/2022 |
7209 | 2^338292+40573 | 101837 | Stefano Morozzi | 06/2022 |
7210 | 2^338294+172425 | 101837 | Stefano Morozzi | 11/2022 |
7211 | 2^338289+30957 | 101836 | Stefano Morozzi | 01/2022 |
7212 | 2^338291+131825 | 101836 | Stefano Morozzi | 02/2022 |
7213 | 2^338291+110111 | 101836 | Stefano Morozzi | 03/2022 |
7214 | 2^338290-156423 | 101836 | Stefano Morozzi | 03/2022 |
7215 | 2^338291-157845 | 101836 | Stefano Morozzi | 03/2022 |
7216 | 2^338290+69243 | 101836 | Stefano Morozzi | 09/2022 |
7217 | 2^338291-189327 | 101836 | Stefano Morozzi | 01/2023 |
7218 | 2^338288+26623 | 101835 | Stefano Morozzi | 12/2021 |
7219 | 2^338286+33325 | 101835 | Stefano Morozzi | 02/2022 |
7220 | 2^338287+132633 | 101835 | Stefano Morozzi | 02/2022 |
7221 | 2^338287+157149 | 101835 | Stefano Morozzi | 02/2022 |
7222 | 2^338288-107193 | 101835 | Stefano Morozzi | 03/2022 |
7223 | 2^338286-83333 | 101835 | Stefano Morozzi | 04/2022 |
7224 | 2^338287+114425 | 101835 | Stefano Morozzi | 05/2022 |
7225 | 2^338288+194403 | 101835 | Stefano Morozzi | 09/2022 |
7226 | 2^338288-113177 | 101835 | Stefano Morozzi | 12/2022 |
7227 | 2^338288-65747 | 101835 | Stefano Morozzi | 01/2023 |
7228 | 2^338285+82131 | 101834 | Stefano Morozzi | 02/2022 |
7229 | 2^338284-104217 | 101834 | Stefano Morozzi | 02/2022 |
7230 | 2^338282-84533 | 101834 | Stefano Morozzi | 04/2022 |
7231 | 2^338283+67545 | 101834 | Stefano Morozzi | 09/2022 |
7232 | 2^338283-65439 | 101834 | Stefano Morozzi | 01/2023 |
7241 | 2^338280-19745 | 101833 | Enzo Doria | 06/2013 |
7233 | 2^338279-125947 | 101833 | Stefano Morozzi | 12/2021 |
7234 | 2^338280-50343 | 101833 | Stefano Morozzi | 12/2021 |
7235 | 2^338279+133331 | 101833 | Stefano Morozzi | 02/2022 |
7236 | 2^338281-54561 | 101833 | Stefano Morozzi | 02/2022 |
7237 | 2^338280+192063 | 101833 | Stefano Morozzi | 09/2022 |
7238 | 2^338281+18971 | 101833 | Stefano Morozzi | 09/2022 |
7239 | 2^338281-186711 | 101833 | Stefano Morozzi | 12/2022 |
7240 | 2^338281-91273 | 101833 | Stefano Morozzi | 01/2023 |
7242 | 2^338278+188215 | 101832 | Stefano Morozzi | 05/2022 |
7243 | 2^338273+181101 | 101831 | Stefano Morozzi | 01/2022 |
7244 | 2^338275+32909 | 101831 | Stefano Morozzi | 02/2022 |
7245 | 2^338272+166431 | 101831 | Stefano Morozzi | 06/2022 |
7246 | 2^338272+22011 | 101831 | Stefano Morozzi | 11/2022 |
7247 | 2^338275+148271 | 101831 | Stefano Morozzi | 11/2022 |
7248 | 2^338270-135725 | 101830 | Stefano Morozzi | 06/2022 |
7249 | 2^338269-136951 | 101830 | Stefano Morozzi | 12/2022 |
7250 | 2^338266+110665 | 101829 | Stefano Morozzi | 03/2022 |