## PRP Records

### Probable Primes Top 10000

#### (295461 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) !!!

See the Top discoverers
See the Latest PRPs
Search by form

 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 2^338771-138805 101981 Stefano Morozzi 12/2022 7752 2^338768-181007 101980 Stefano Morozzi 02/2022 7753 2^338768+108807 101980 Stefano Morozzi 03/2022 7754 2^338767+169155 101980 Stefano Morozzi 09/2022 7755 2^338769+95369 101980 Stefano Morozzi 11/2022 7756 2^338769+195965 101980 Stefano Morozzi 11/2022 7757 2^338770-12725 101980 Stefano Morozzi 12/2022 7758 2^338768-140843 101980 Stefano Morozzi 01/2023 7759 2^338764+138013 101979 Stefano Morozzi 04/2022 7760 2^338765-160323 101979 Stefano Morozzi 06/2022 7761 2^338765+124545 101979 Stefano Morozzi 02/2023 7767 lucasU(1373,1,32502)-lucasU(1373,1,32501) 101978 Mike Oakes 05/2009 7762 2^338761+103671 101978 Stefano Morozzi 01/2022 7763 2^338763-7651 101978 Stefano Morozzi 03/2022 7764 2^338763+65591 101978 Stefano Morozzi 06/2022 7765 2^338762-111875 101978 Stefano Morozzi 12/2022 7766 2^338762-192237 101978 Stefano Morozzi 02/2023 7768 2^338757-5151 101977 Stefano Morozzi 02/2022 7769 2^338760-79037 101977 Stefano Morozzi 02/2022 7770 2^338757-82143 101977 Stefano Morozzi 03/2022 7771 2^338757+137007 101977 Stefano Morozzi 04/2022 7772 2^338755+158531 101976 Stefano Morozzi 03/2022 7773 2^338755+74081 101976 Stefano Morozzi 02/2023 7774 2^338752-153353 101975 Stefano Morozzi 01/2022 7775 2^338751+8001 101975 Stefano Morozzi 02/2022 7776 2^338752+32977 101975 Stefano Morozzi 02/2022 7777 2^338753-79233 101975 Stefano Morozzi 02/2022 7778 2^338752-88157 101975 Stefano Morozzi 12/2022 7779 2^338750-175625 101974 Stefano Morozzi 12/2021 7780 2^338747-2731 101974 Stefano Morozzi 12/2021 7781 2^338750-29597 101974 Stefano Morozzi 02/2022 7782 2^338748+35095 101974 Stefano Morozzi 03/2022 7783 2^338747+137475 101974 Stefano Morozzi 04/2022 7784 2^338747+162005 101974 Stefano Morozzi 04/2022 7785 2^338750+162237 101974 Stefano Morozzi 04/2022 7786 2^338747-184365 101974 Stefano Morozzi 04/2022 7787 2^338748+64341 101974 Stefano Morozzi 05/2022 7788 2^338750+24445 101974 Stefano Morozzi 02/2023 7789 2^338746+59577 101973 Stefano Morozzi 03/2022 7790 2^338746+62055 101973 Stefano Morozzi 04/2022 7791 2^338744+194065 101973 Stefano Morozzi 09/2022 7792 2^338741+25359 101972 Stefano Morozzi 12/2021 7793 2^338743+176981 101972 Stefano Morozzi 12/2021 7794 2^338741+183029 101972 Stefano Morozzi 02/2022 7795 2^338743-130309 101972 Stefano Morozzi 02/2022 7796 2^338741+86349 101972 Stefano Morozzi 04/2022 7797 2^338741+111561 101972 Stefano Morozzi 04/2022 7798 2^338743+172301 101972 Stefano Morozzi 11/2022 7799 2^338741-189969 101972 Stefano Morozzi 01/2023 7800 2^338739+76959 101971 Stefano Morozzi 12/2021 7801 2^338739-105957 101971 Stefano Morozzi 02/2022 7802 2^338739+190149 101971 Stefano Morozzi 05/2022 7803 2^338738+64947 101971 Stefano Morozzi 05/2022 7804 2^338740+119947 101971 Stefano Morozzi 11/2022 7805 2^338740-186837 101971 Stefano Morozzi 12/2022 7806 2^338737+127547 101970 Stefano Morozzi 12/2021 7807 2^338737+128591 101970 Stefano Morozzi 01/2022 7808 2^338735-153165 101970 Stefano Morozzi 01/2022 7809 2^338734+13719 101970 Stefano Morozzi 05/2022 7810 2^338734-138225 101970 Stefano Morozzi 12/2022 7811 2^338735-186129 101970 Stefano Morozzi 12/2022 7817 25295^10744+10744^25295 101969 Hans Havermann 01/2019 7818 25712^9243+9243^25712 101969 Hans Havermann 01/2019 7812 2^338731-150895 101969 Stefano Morozzi 12/2021 7813 2^338731+54911 101969 Stefano Morozzi 01/2022 7814 2^338731+85863 101969 Stefano Morozzi 03/2022 7815 2^338732+185047 101969 Stefano Morozzi 03/2022 7816 2^338733+193791 101969 Stefano Morozzi 09/2022 7819 2^338729+69221 101968 Stefano Morozzi 09/2022 7820 2^338728+123355 101968 Stefano Morozzi 11/2022 7821 2^338730-87063 101968 Stefano Morozzi 12/2022 7822 2^338726+128199 101967 Stefano Morozzi 01/2022 7823 2^338727+127745 101967 Stefano Morozzi 01/2022 7824 2^338724+32971 101967 Stefano Morozzi 02/2022 7825 2^338727+189683 101967 Stefano Morozzi 05/2022 7826 2^338727+118293 101967 Stefano Morozzi 09/2022 7827 2^338723-76651 101966 Stefano Morozzi 12/2021 7828 2^338721+79037 101966 Stefano Morozzi 01/2022 7829 2^338723-132621 101966 Stefano Morozzi 03/2022 7830 2^338722+137313 101966 Stefano Morozzi 04/2022 7831 2^338722+162915 101966 Stefano Morozzi 04/2022 7832 2^338723+199161 101966 Stefano Morozzi 02/2023 7833 2^338718-126861 101965 Stefano Morozzi 12/2021 7834 2^338718-109127 101965 Stefano Morozzi 04/2022 7839 (71^55079-1)/70 101964 Paul Bourdelais 08/2017 7835 2^338714+30835 101964 Stefano Morozzi 01/2022 7836 2^338714+156715 101964 Stefano Morozzi 02/2022 7837 2^338715+19923 101964 Stefano Morozzi 09/2022 7838 2^338716+173253 101964 Stefano Morozzi 11/2022 7840 2^338711+125399 101963 Stefano Morozzi 12/2021 7841 2^338713-30895 101963 Stefano Morozzi 02/2022 7842 2^338712-132545 101963 Stefano Morozzi 03/2022 7843 2^338713+87825 101963 Stefano Morozzi 04/2022 7844 2^338712+190333 101963 Stefano Morozzi 06/2022 7845 2^338709-154429 101962 Stefano Morozzi 02/2022 7846 2^338710+140545 101962 Stefano Morozzi 06/2022 7847 2^338706-102917 101961 Stefano Morozzi 01/2022 7848 2^338705+34727 101961 Stefano Morozzi 03/2022 7849 2^338706-165633 101961 Stefano Morozzi 01/2023 7850 2^338707-116115 101961 Stefano Morozzi 01/2023 7851 2^338698+104083 101959 Stefano Morozzi 01/2022 7852 2^338700-184565 101959 Stefano Morozzi 04/2022 7853 2^338700+189777 101959 Stefano Morozzi 05/2022 7854 2^338698+41779 101959 Stefano Morozzi 09/2022 7855 2^338699+148533 101959 Stefano Morozzi 11/2022 7856 2^338700+97381 101959 Stefano Morozzi 11/2022 7857 2^338698-142181 101959 Stefano Morozzi 02/2023 7858 2^338696+181671 101958 Stefano Morozzi 02/2022 7859 2^338697+146651 101958 Stefano Morozzi 11/2022 7860 2^338695-116977 101958 Stefano Morozzi 02/2023 7861 2^338692+106297 101957 Stefano Morozzi 01/2022 7862 2^338692+33195 101957 Stefano Morozzi 02/2022 7863 2^338692+110505 101957 Stefano Morozzi 03/2022 7864 2^338692+190093 101957 Stefano Morozzi 05/2022 7865 2^338692+173343 101957 Stefano Morozzi 11/2022 7866 2^338693+144975 101957 Stefano Morozzi 11/2022 7867 2^338692+149281 101957 Stefano Morozzi 02/2023 7868 2^338688+82203 101956 Stefano Morozzi 02/2022 7869 2^338689+82365 101956 Stefano Morozzi 02/2022 7870 2^338688-92159 101956 Stefano Morozzi 02/2023 7871 2^338686-81303 101955 Stefano Morozzi 03/2022 7872 2^338687+40461 101955 Stefano Morozzi 06/2022 7873 2^338687+65283 101955 Stefano Morozzi 06/2022 7879 2^338682-19865 101954 Enzo Doria 06/2013 7880 (2^(112895*3+1)+243)/7 101954 Kevin Acres 12/2013 7874 (8*10^101954-269)/9 101954 Robert Price 09/2021 7875 2^338683+50303 101954 Stefano Morozzi 11/2021 7876 2^338682-107205 101954 Stefano Morozzi 03/2022 7877 2^338682+13839 101954 Stefano Morozzi 05/2022 7878 2^338683-42837 101954 Stefano Morozzi 02/2023 7881 2^338678-180005 101953 Stefano Morozzi 02/2022 7882 2^338680+15855 101953 Stefano Morozzi 06/2022 7883 2^338678+93175 101953 Stefano Morozzi 09/2022 7884 2^338680+99217 101953 Stefano Morozzi 02/2023 7885 2^338674-175967 101952 Stefano Morozzi 12/2021 7886 2^338677-177373 101952 Stefano Morozzi 12/2021 7887 2^338677+102999 101952 Stefano Morozzi 01/2022 7888 2^338676+33381 101952 Stefano Morozzi 03/2022 7889 2^338677-82699 101952 Stefano Morozzi 03/2022 7890 2^338676-34299 101952 Stefano Morozzi 04/2022 7891 2^338675+188445 101952 Stefano Morozzi 05/2022 7892 2^338676+165271 101952 Stefano Morozzi 06/2022 7893 2^338674-187551 101952 Stefano Morozzi 12/2022 7894 2^338676-42243 101952 Stefano Morozzi 02/2023 7895 2^338671-55041 101951 Stefano Morozzi 02/2022 7896 2^338673-80203 101951 Stefano Morozzi 02/2022 7897 2^338672-182063 101951 Stefano Morozzi 03/2022 7898 2^338672+36667 101951 Stefano Morozzi 04/2022 7899 2^338668+2583 101950 Stefano Morozzi 12/2021 7900 2^338670-157001 101950 Stefano Morozzi 03/2022 7901 2^338669-8353 101950 Stefano Morozzi 04/2022 7902 2^338670+40635 101950 Stefano Morozzi 06/2022 7910 (2^338666+3154)/2 101949 Stefano Morozzi 09/2020 7903 2^338665+1577 101949 Stefano Morozzi 12/2021 7904 2^338665-51133 101949 Stefano Morozzi 12/2021 7905 2^338664+4345 101949 Stefano Morozzi 01/2022 7906 2^338666-128943 101949 Stefano Morozzi 01/2022 7907 2^338664+131535 101949 Stefano Morozzi 01/2022 7908 2^338667+14943 101949 Stefano Morozzi 05/2022 7909 2^338665+166637 101949 Stefano Morozzi 09/2022 7911 2^338662+31587 101948 Stefano Morozzi 02/2022 7912 2^338663-58375 101948 Stefano Morozzi 04/2022 7913 2^338663-107869 101948 Stefano Morozzi 04/2022 7914 2^338663+90435 101948 Stefano Morozzi 06/2022 7915 2^338661+70457 101948 Stefano Morozzi 11/2022 7916 2^338662+70519 101948 Stefano Morozzi 11/2022 7917 2^338663-39447 101948 Stefano Morozzi 01/2023 7918 2^338658-159191 101947 Stefano Morozzi 04/2022 7919 2^338659-159687 101947 Stefano Morozzi 04/2022 7920 2^338659+15543 101947 Stefano Morozzi 05/2022 7921 2^338658+44395 101947 Stefano Morozzi 09/2022 7922 2^338658+192537 101947 Stefano Morozzi 09/2022 7923 2^338659-90531 101947 Stefano Morozzi 01/2023 7924 2^338659-114759 101947 Stefano Morozzi 01/2023 7925 2^338659+124079 101947 Stefano Morozzi 02/2023 7926 2^338654+51027 101946 Stefano Morozzi 12/2021 7927 2^338656-152115 101946 Stefano Morozzi 12/2021 7928 2^338654+32415 101946 Stefano Morozzi 02/2022 7929 2^338654+39799 101946 Stefano Morozzi 05/2022 7930 2^338655+144579 101946 Stefano Morozzi 09/2022 7931 2^338657+97509 101946 Stefano Morozzi 11/2022 7932 2^338653+126629 101945 Stefano Morozzi 12/2021 7933 2^338653+33279 101945 Stefano Morozzi 02/2022 7934 2^338652-107097 101945 Stefano Morozzi 03/2022 7935 2^338653+94475 101945 Stefano Morozzi 09/2022 7936 2^338651+194073 101945 Stefano Morozzi 09/2022 7937 2^338652-89157 101945 Stefano Morozzi 01/2023 7938 2^338649-154663 101944 Stefano Morozzi 02/2022 7939 2^338650+61399 101944 Stefano Morozzi 04/2022 7940 2^338650-35655 101944 Stefano Morozzi 06/2022 7941 2^338650+169623 101944 Stefano Morozzi 09/2022 7942 2^338649-40743 101944 Stefano Morozzi 01/2023 7943 2^338645+150311 101943 Stefano Morozzi 11/2021 7944 2^338645+28481 101943 Stefano Morozzi 01/2022 7945 2^338647-77895 101943 Stefano Morozzi 01/2022 7946 2^338647-84607 101943 Stefano Morozzi 04/2022 7947 2^338647+164523 101943 Stefano Morozzi 05/2022 7948 2^338645+64845 101943 Stefano Morozzi 05/2022 7949 2^338644-35969 101943 Stefano Morozzi 12/2022 7950 2^338645-15715 101943 Stefano Morozzi 01/2023 7951 2^338641-152541 101942 Stefano Morozzi 12/2021 7952 2^338643-56487 101942 Stefano Morozzi 03/2022 7953 2^338642-186525 101942 Stefano Morozzi 12/2022 7954 2^338643-41715 101942 Stefano Morozzi 02/2023 7955 2^338638+100575 101941 Stefano Morozzi 12/2021 7956 2^338639-127461 101941 Stefano Morozzi 12/2021 7957 2^338640+187657 101941 Stefano Morozzi 04/2022 7958 2^338640+44431 101941 Stefano Morozzi 09/2022 7959 2^338635+1961 101940 Stefano Morozzi 12/2021 7960 2^338637+102125 101940 Stefano Morozzi 12/2021 7961 2^338636-135329 101940 Stefano Morozzi 06/2022 7962 2^338635+199485 101940 Stefano Morozzi 02/2023 7967 28594^3673+3673^28594 101939 Hans Havermann 02/2019 7963 2^338631+110741 101939 Stefano Morozzi 03/2022 7964 2^338631+112119 101939 Stefano Morozzi 04/2022 7965 2^338634-83097 101939 Stefano Morozzi 04/2022 7966 2^338633+139701 101939 Stefano Morozzi 05/2022 7968 2^338630-150341 101938 Stefano Morozzi 12/2021 7969 2^338630+12867 101938 Stefano Morozzi 04/2022 7970 2^338629+42147 101938 Stefano Morozzi 09/2022 7971 2^338628+121083 101938 Stefano Morozzi 11/2022 7972 2^338630+147235 101938 Stefano Morozzi 11/2022 7973 2^338628-37679 101938 Stefano Morozzi 12/2022 7974 2^338629-41383 101938 Stefano Morozzi 01/2023 7975 2^338628-91877 101938 Stefano Morozzi 02/2023 7976 2^338626-105875 101937 Stefano Morozzi 02/2022 7977 2^338625-111729 101937 Stefano Morozzi 12/2022 7978 2^338627+49299 101937 Stefano Morozzi 02/2023 7979 2^338621+33069 101936 Stefano Morozzi 02/2022 7980 2^338623-106405 101936 Stefano Morozzi 03/2022 7981 2^338621+61751 101936 Stefano Morozzi 04/2022 7982 2^338623-86577 101936 Stefano Morozzi 12/2022 7983 2^338620-150735 101935 Stefano Morozzi 12/2021 7984 2^338619-27765 101935 Stefano Morozzi 01/2022 7985 2^338619-77959 101935 Stefano Morozzi 01/2022 7986 2^338619-186367 101935 Stefano Morozzi 12/2022 7987 2^338618-64905 101935 Stefano Morozzi 01/2023 7988 2^338615+151655 101934 Stefano Morozzi 12/2021 7989 2^338616+5047 101934 Stefano Morozzi 01/2022 7990 2^338616+39705 101934 Stefano Morozzi 05/2022 7991 2^338617+149321 101934 Stefano Morozzi 02/2023 7992 2^338611+76659 101933 Stefano Morozzi 12/2021 7993 2^338613-109791 101933 Stefano Morozzi 04/2022 7994 2^338612+119583 101933 Stefano Morozzi 09/2022 7995 2^338611-140397 101933 Stefano Morozzi 01/2023 7996 2^338614-39653 101933 Stefano Morozzi 01/2023 7997 2^338609+130139 101932 Stefano Morozzi 01/2022 7998 2^338609+131327 101932 Stefano Morozzi 01/2022 7999 2^338608-155453 101932 Stefano Morozzi 02/2022 8000 2^338609+161721 101932 Stefano Morozzi 04/2022

Find by discoverer :

Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 19 2024 15:29 (Time in France)

Go back