## PRP Records

### Probable Primes Top 10000

#### (295765 PRPs in the top)

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) !!!

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 1-250 251-500 501-750 751-1000 1001-1250 1251-1500 1501-1750 1751-2000 2001-2250 2251-2500 2501-2750 2751-3000 3001-3250 3251-3500 3501-3750 3751-4000 4001-4250 4251-4500 4501-4750 4751-5000 5001-5250 5251-5500 5501-5750 5751-6000 6001-6250 6251-6500 6501-6750 6751-7000 7001-7250 7251-7500 7501-7750 7751-8000 8001-8250 8251-8500 8501-8750 8751-9000 9001-9250 9251-9500 9501-9750 9751-10000

 Rank Probable prime Digits (> 50000) Who ? When ? 7751 2^338843-127261 102002 Stefano Morozzi 12/2021 7752 2^338843+107205 102002 Stefano Morozzi 02/2022 7753 2^338842-33185 102002 Stefano Morozzi 04/2022 7754 2^338842+14227 102002 Stefano Morozzi 05/2022 7755 2^338842+147973 102002 Stefano Morozzi 11/2022 7763 8*10^102000+51 102001 Robert Price 08/2019 7756 2^338838+150837 102001 Stefano Morozzi 11/2021 7757 2^338838+141397 102001 Stefano Morozzi 06/2022 7758 2^338839+194363 102001 Stefano Morozzi 09/2022 7759 2^338838+95637 102001 Stefano Morozzi 11/2022 7760 2^338839+171545 102001 Stefano Morozzi 11/2022 7761 2^338837-40071 102001 Stefano Morozzi 01/2023 7762 2^338838-90251 102001 Stefano Morozzi 01/2023 7764 2^338835-150625 102000 Stefano Morozzi 12/2021 7765 2^338834-32877 102000 Stefano Morozzi 04/2022 7769 (2^338832+642)/2 101999 Stefano Morozzi 09/2020 7766 2^338833-100905 101999 Stefano Morozzi 12/2021 7767 2^338831+54419 101999 Stefano Morozzi 01/2022 7768 2^338831-63687 101999 Stefano Morozzi 12/2022 7777 2^338829-113239 101998 Enzo Doria 07/2014 7778 2^338828-113297 101998 Enzo Doria 07/2014 7770 2^338830+25017 101998 Stefano Morozzi 11/2021 7771 2^338831+321 101998 Stefano Morozzi 11/2021 7772 2^338827-26197 101998 Stefano Morozzi 12/2021 7773 2^338829+52727 101998 Stefano Morozzi 01/2022 7774 2^338827-55461 101998 Stefano Morozzi 02/2022 7775 2^338828-65859 101998 Stefano Morozzi 01/2023 7776 2^338829+99365 101998 Stefano Morozzi 02/2023 7779 2^338825-27453 101997 Stefano Morozzi 12/2021 7780 2^338824+89355 101997 Stefano Morozzi 05/2022 7781 2^338825-10995 101997 Stefano Morozzi 06/2022 7782 2^338824+149865 101997 Stefano Morozzi 02/2023 7783 2^338822+111175 101996 Stefano Morozzi 03/2022 7784 2^338822+187819 101996 Stefano Morozzi 04/2022 7785 2^338823+139545 101996 Stefano Morozzi 05/2022 7786 2^338823-184905 101996 Stefano Morozzi 06/2022 7787 2^338821-38919 101996 Stefano Morozzi 12/2022 7788 2^338820+41317 101995 Stefano Morozzi 06/2022 7789 2^338817+46019 101995 Stefano Morozzi 11/2022 7790 2^338820+148083 101995 Stefano Morozzi 11/2022 7791 2^338817-163251 101995 Stefano Morozzi 12/2022 7792 2^338819-63705 101995 Stefano Morozzi 12/2022 7793 2^338817-92509 101995 Stefano Morozzi 02/2023 7794 2^338815+151175 101994 Stefano Morozzi 12/2021 7795 2^338814-30011 101994 Stefano Morozzi 02/2022 7796 2^338814+12309 101994 Stefano Morozzi 04/2022 7797 2^338816-60647 101994 Stefano Morozzi 06/2022 7798 2^338816+171043 101994 Stefano Morozzi 11/2022 7799 2^338814-11513 101994 Stefano Morozzi 12/2022 7800 2^338811-126999 101993 Stefano Morozzi 12/2021 7801 2^338811+131621 101993 Stefano Morozzi 02/2022 7802 2^338812-107637 101993 Stefano Morozzi 03/2022 7803 2^338813+192725 101993 Stefano Morozzi 09/2022 7804 2^338812+94731 101993 Stefano Morozzi 11/2022 7805 2^338813+49205 101993 Stefano Morozzi 02/2023 7806 2^338809-152755 101992 Stefano Morozzi 01/2022 7807 2^338808+156531 101992 Stefano Morozzi 01/2022 7808 2^338808+7885 101992 Stefano Morozzi 02/2022 7809 2^338808-105797 101992 Stefano Morozzi 02/2022 7810 2^338807-35899 101992 Stefano Morozzi 06/2022 7811 2^338808-89175 101992 Stefano Morozzi 01/2023 7812 2^338808-91475 101992 Stefano Morozzi 01/2023 7813 2^338805+29879 101991 Stefano Morozzi 01/2022 7814 2^338805+157925 101991 Stefano Morozzi 02/2022 7815 2^338804-6809 101991 Stefano Morozzi 03/2022 7816 2^338806-157095 101991 Stefano Morozzi 03/2022 7817 2^338804-133173 101991 Stefano Morozzi 04/2022 7818 2^338805-115189 101991 Stefano Morozzi 01/2023 7819 2^338802+150403 101990 Stefano Morozzi 11/2021 7820 2^338801+154587 101990 Stefano Morozzi 01/2022 7821 2^338802-180603 101990 Stefano Morozzi 02/2022 7822 2^338803-31921 101990 Stefano Morozzi 03/2022 7823 2^338803-81735 101990 Stefano Morozzi 03/2022 7824 2^338803+195141 101990 Stefano Morozzi 11/2022 7825 2^338800+160141 101989 Stefano Morozzi 03/2022 7826 2^338797-82489 101989 Stefano Morozzi 03/2022 7831 2^338796+93 101988 Donovan Johnson 06/2008 7827 2^338795+455 101988 Stefano Morozzi 11/2021 7828 2^338795-102075 101988 Stefano Morozzi 12/2021 7829 2^338794-3483 101988 Stefano Morozzi 01/2022 7830 2^338796+179641 101988 Stefano Morozzi 01/2022 7832 2^338793-5155 101987 Stefano Morozzi 02/2022 7833 2^338793+111107 101987 Stefano Morozzi 03/2022 7834 2^338791+112083 101987 Stefano Morozzi 04/2022 7835 2^338792-85097 101987 Stefano Morozzi 06/2022 7836 (61*10^101986+47)/9 101987 Robert Price 07/2022 7837 2^338787+53309 101986 Stefano Morozzi 01/2022 7838 2^338787-153817 101986 Stefano Morozzi 01/2022 7839 2^338789+56229 101986 Stefano Morozzi 01/2022 7840 2^338790+6429 101986 Stefano Morozzi 01/2022 7841 2^338788+131701 101986 Stefano Morozzi 02/2022 7842 2^338785+104639 101985 Stefano Morozzi 01/2022 7843 2^338784+37591 101985 Stefano Morozzi 04/2022 7844 2^338786-9831 101985 Stefano Morozzi 04/2022 7845 2^338783+109065 101984 Stefano Morozzi 03/2022 7846 2^338779+86711 101983 Stefano Morozzi 04/2022 7847 2^338778+113589 101983 Stefano Morozzi 05/2022 7848 2^338775-30369 101982 Stefano Morozzi 02/2022 7849 2^338774+159135 101982 Stefano Morozzi 03/2022 7850 2^338776+113001 101982 Stefano Morozzi 04/2022 7851 2^338774+117039 101982 Stefano Morozzi 09/2022 7852 2^338775+167109 101982 Stefano Morozzi 09/2022 7853 2^338774+147595 101982 Stefano Morozzi 11/2022 7854 2^338772+42733 101981 Stefano Morozzi 09/2022 7855 2^338771-138805 101981 Stefano Morozzi 12/2022 7856 2^338768-181007 101980 Stefano Morozzi 02/2022 7857 2^338768+108807 101980 Stefano Morozzi 03/2022 7858 2^338767+169155 101980 Stefano Morozzi 09/2022 7859 2^338769+95369 101980 Stefano Morozzi 11/2022 7860 2^338769+195965 101980 Stefano Morozzi 11/2022 7861 2^338770-12725 101980 Stefano Morozzi 12/2022 7862 2^338768-140843 101980 Stefano Morozzi 01/2023 7863 2^338764+138013 101979 Stefano Morozzi 04/2022 7864 2^338765-160323 101979 Stefano Morozzi 06/2022 7865 2^338765+124545 101979 Stefano Morozzi 02/2023 7871 lucasU(1373,1,32502)-lucasU(1373,1,32501) 101978 Mike Oakes 05/2009 7866 2^338761+103671 101978 Stefano Morozzi 01/2022 7867 2^338763-7651 101978 Stefano Morozzi 03/2022 7868 2^338763+65591 101978 Stefano Morozzi 06/2022 7869 2^338762-111875 101978 Stefano Morozzi 12/2022 7870 2^338762-192237 101978 Stefano Morozzi 02/2023 7872 2^338757-5151 101977 Stefano Morozzi 02/2022 7873 2^338760-79037 101977 Stefano Morozzi 02/2022 7874 2^338757-82143 101977 Stefano Morozzi 03/2022 7875 2^338757+137007 101977 Stefano Morozzi 04/2022 7876 2^338755+158531 101976 Stefano Morozzi 03/2022 7877 2^338755+74081 101976 Stefano Morozzi 02/2023 7878 2^338752-153353 101975 Stefano Morozzi 01/2022 7879 2^338751+8001 101975 Stefano Morozzi 02/2022 7880 2^338752+32977 101975 Stefano Morozzi 02/2022 7881 2^338753-79233 101975 Stefano Morozzi 02/2022 7882 2^338752-88157 101975 Stefano Morozzi 12/2022 7883 2^338750-175625 101974 Stefano Morozzi 12/2021 7884 2^338747-2731 101974 Stefano Morozzi 12/2021 7885 2^338750-29597 101974 Stefano Morozzi 02/2022 7886 2^338748+35095 101974 Stefano Morozzi 03/2022 7887 2^338747+137475 101974 Stefano Morozzi 04/2022 7888 2^338747+162005 101974 Stefano Morozzi 04/2022 7889 2^338750+162237 101974 Stefano Morozzi 04/2022 7890 2^338747-184365 101974 Stefano Morozzi 04/2022 7891 2^338748+64341 101974 Stefano Morozzi 05/2022 7892 2^338750+24445 101974 Stefano Morozzi 02/2023 7893 2^338746+59577 101973 Stefano Morozzi 03/2022 7894 2^338746+62055 101973 Stefano Morozzi 04/2022 7895 2^338744+194065 101973 Stefano Morozzi 09/2022 7896 2^338741+25359 101972 Stefano Morozzi 12/2021 7897 2^338743+176981 101972 Stefano Morozzi 12/2021 7898 2^338741+183029 101972 Stefano Morozzi 02/2022 7899 2^338743-130309 101972 Stefano Morozzi 02/2022 7900 2^338741+86349 101972 Stefano Morozzi 04/2022 7901 2^338741+111561 101972 Stefano Morozzi 04/2022 7902 2^338743+172301 101972 Stefano Morozzi 11/2022 7903 2^338741-189969 101972 Stefano Morozzi 01/2023 7904 2^338739+76959 101971 Stefano Morozzi 12/2021 7905 2^338739-105957 101971 Stefano Morozzi 02/2022 7906 2^338739+190149 101971 Stefano Morozzi 05/2022 7907 2^338738+64947 101971 Stefano Morozzi 05/2022 7908 2^338740+119947 101971 Stefano Morozzi 11/2022 7909 2^338740-186837 101971 Stefano Morozzi 12/2022 7910 2^338737+127547 101970 Stefano Morozzi 12/2021 7911 2^338737+128591 101970 Stefano Morozzi 01/2022 7912 2^338735-153165 101970 Stefano Morozzi 01/2022 7913 2^338734+13719 101970 Stefano Morozzi 05/2022 7914 2^338734-138225 101970 Stefano Morozzi 12/2022 7915 2^338735-186129 101970 Stefano Morozzi 12/2022 7921 25295^10744+10744^25295 101969 Hans Havermann 01/2019 7922 25712^9243+9243^25712 101969 Hans Havermann 01/2019 7916 2^338731-150895 101969 Stefano Morozzi 12/2021 7917 2^338731+54911 101969 Stefano Morozzi 01/2022 7918 2^338731+85863 101969 Stefano Morozzi 03/2022 7919 2^338732+185047 101969 Stefano Morozzi 03/2022 7920 2^338733+193791 101969 Stefano Morozzi 09/2022 7923 2^338729+69221 101968 Stefano Morozzi 09/2022 7924 2^338728+123355 101968 Stefano Morozzi 11/2022 7925 2^338730-87063 101968 Stefano Morozzi 12/2022 7926 2^338726+128199 101967 Stefano Morozzi 01/2022 7927 2^338727+127745 101967 Stefano Morozzi 01/2022 7928 2^338724+32971 101967 Stefano Morozzi 02/2022 7929 2^338727+189683 101967 Stefano Morozzi 05/2022 7930 2^338727+118293 101967 Stefano Morozzi 09/2022 7931 2^338723-76651 101966 Stefano Morozzi 12/2021 7932 2^338721+79037 101966 Stefano Morozzi 01/2022 7933 2^338723-132621 101966 Stefano Morozzi 03/2022 7934 2^338722+137313 101966 Stefano Morozzi 04/2022 7935 2^338722+162915 101966 Stefano Morozzi 04/2022 7936 2^338723+199161 101966 Stefano Morozzi 02/2023 7937 2^338718-126861 101965 Stefano Morozzi 12/2021 7938 2^338718-109127 101965 Stefano Morozzi 04/2022 7943 (71^55079-1)/70 101964 Paul Bourdelais 08/2017 7939 2^338714+30835 101964 Stefano Morozzi 01/2022 7940 2^338714+156715 101964 Stefano Morozzi 02/2022 7941 2^338715+19923 101964 Stefano Morozzi 09/2022 7942 2^338716+173253 101964 Stefano Morozzi 11/2022 7944 2^338711+125399 101963 Stefano Morozzi 12/2021 7945 2^338713-30895 101963 Stefano Morozzi 02/2022 7946 2^338712-132545 101963 Stefano Morozzi 03/2022 7947 2^338713+87825 101963 Stefano Morozzi 04/2022 7948 2^338712+190333 101963 Stefano Morozzi 06/2022 7949 2^338709-154429 101962 Stefano Morozzi 02/2022 7950 2^338710+140545 101962 Stefano Morozzi 06/2022 7951 2^338706-102917 101961 Stefano Morozzi 01/2022 7952 2^338705+34727 101961 Stefano Morozzi 03/2022 7953 2^338706-165633 101961 Stefano Morozzi 01/2023 7954 2^338707-116115 101961 Stefano Morozzi 01/2023 7955 2^338698+104083 101959 Stefano Morozzi 01/2022 7956 2^338700-184565 101959 Stefano Morozzi 04/2022 7957 2^338700+189777 101959 Stefano Morozzi 05/2022 7958 2^338698+41779 101959 Stefano Morozzi 09/2022 7959 2^338699+148533 101959 Stefano Morozzi 11/2022 7960 2^338700+97381 101959 Stefano Morozzi 11/2022 7961 2^338698-142181 101959 Stefano Morozzi 02/2023 7962 2^338696+181671 101958 Stefano Morozzi 02/2022 7963 2^338697+146651 101958 Stefano Morozzi 11/2022 7964 2^338695-116977 101958 Stefano Morozzi 02/2023 7965 2^338692+106297 101957 Stefano Morozzi 01/2022 7966 2^338692+33195 101957 Stefano Morozzi 02/2022 7967 2^338692+110505 101957 Stefano Morozzi 03/2022 7968 2^338692+190093 101957 Stefano Morozzi 05/2022 7969 2^338692+173343 101957 Stefano Morozzi 11/2022 7970 2^338693+144975 101957 Stefano Morozzi 11/2022 7971 2^338692+149281 101957 Stefano Morozzi 02/2023 7972 2^338688+82203 101956 Stefano Morozzi 02/2022 7973 2^338689+82365 101956 Stefano Morozzi 02/2022 7974 2^338688-92159 101956 Stefano Morozzi 02/2023 7975 2^338686-81303 101955 Stefano Morozzi 03/2022 7976 2^338687+40461 101955 Stefano Morozzi 06/2022 7977 2^338687+65283 101955 Stefano Morozzi 06/2022 7983 2^338682-19865 101954 Enzo Doria 06/2013 7984 (2^(112895*3+1)+243)/7 101954 Kevin Acres 12/2013 7978 (8*10^101954-269)/9 101954 Robert Price 09/2021 7979 2^338683+50303 101954 Stefano Morozzi 11/2021 7980 2^338682-107205 101954 Stefano Morozzi 03/2022 7981 2^338682+13839 101954 Stefano Morozzi 05/2022 7982 2^338683-42837 101954 Stefano Morozzi 02/2023 7985 2^338678-180005 101953 Stefano Morozzi 02/2022 7986 2^338680+15855 101953 Stefano Morozzi 06/2022 7987 2^338678+93175 101953 Stefano Morozzi 09/2022 7988 2^338680+99217 101953 Stefano Morozzi 02/2023 7989 2^338674-175967 101952 Stefano Morozzi 12/2021 7990 2^338677-177373 101952 Stefano Morozzi 12/2021 7991 2^338677+102999 101952 Stefano Morozzi 01/2022 7992 2^338676+33381 101952 Stefano Morozzi 03/2022 7993 2^338677-82699 101952 Stefano Morozzi 03/2022 7994 2^338676-34299 101952 Stefano Morozzi 04/2022 7995 2^338675+188445 101952 Stefano Morozzi 05/2022 7996 2^338676+165271 101952 Stefano Morozzi 06/2022 7997 2^338674-187551 101952 Stefano Morozzi 12/2022 7998 2^338676-42243 101952 Stefano Morozzi 02/2023 7999 2^338671-55041 101951 Stefano Morozzi 02/2022 8000 2^338673-80203 101951 Stefano Morozzi 02/2022

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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 13 2024 17:43 (Time in France)

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