## 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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See the Latest PRPs
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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 ? 8001 2^338672-182063 101951 Stefano Morozzi 03/2022 8002 2^338672+36667 101951 Stefano Morozzi 04/2022 8003 2^338668+2583 101950 Stefano Morozzi 12/2021 8004 2^338670-157001 101950 Stefano Morozzi 03/2022 8005 2^338669-8353 101950 Stefano Morozzi 04/2022 8006 2^338670+40635 101950 Stefano Morozzi 06/2022 8014 (2^338666+3154)/2 101949 Stefano Morozzi 09/2020 8007 2^338665+1577 101949 Stefano Morozzi 12/2021 8008 2^338665-51133 101949 Stefano Morozzi 12/2021 8009 2^338664+4345 101949 Stefano Morozzi 01/2022 8010 2^338666-128943 101949 Stefano Morozzi 01/2022 8011 2^338664+131535 101949 Stefano Morozzi 01/2022 8012 2^338667+14943 101949 Stefano Morozzi 05/2022 8013 2^338665+166637 101949 Stefano Morozzi 09/2022 8015 2^338662+31587 101948 Stefano Morozzi 02/2022 8016 2^338663-58375 101948 Stefano Morozzi 04/2022 8017 2^338663-107869 101948 Stefano Morozzi 04/2022 8018 2^338663+90435 101948 Stefano Morozzi 06/2022 8019 2^338661+70457 101948 Stefano Morozzi 11/2022 8020 2^338662+70519 101948 Stefano Morozzi 11/2022 8021 2^338663-39447 101948 Stefano Morozzi 01/2023 8022 2^338658-159191 101947 Stefano Morozzi 04/2022 8023 2^338659-159687 101947 Stefano Morozzi 04/2022 8024 2^338659+15543 101947 Stefano Morozzi 05/2022 8025 2^338658+44395 101947 Stefano Morozzi 09/2022 8026 2^338658+192537 101947 Stefano Morozzi 09/2022 8027 2^338659-90531 101947 Stefano Morozzi 01/2023 8028 2^338659-114759 101947 Stefano Morozzi 01/2023 8029 2^338659+124079 101947 Stefano Morozzi 02/2023 8030 2^338654+51027 101946 Stefano Morozzi 12/2021 8031 2^338656-152115 101946 Stefano Morozzi 12/2021 8032 2^338654+32415 101946 Stefano Morozzi 02/2022 8033 2^338654+39799 101946 Stefano Morozzi 05/2022 8034 2^338655+144579 101946 Stefano Morozzi 09/2022 8035 2^338657+97509 101946 Stefano Morozzi 11/2022 8036 2^338653+126629 101945 Stefano Morozzi 12/2021 8037 2^338653+33279 101945 Stefano Morozzi 02/2022 8038 2^338652-107097 101945 Stefano Morozzi 03/2022 8039 2^338653+94475 101945 Stefano Morozzi 09/2022 8040 2^338651+194073 101945 Stefano Morozzi 09/2022 8041 2^338652-89157 101945 Stefano Morozzi 01/2023 8042 2^338649-154663 101944 Stefano Morozzi 02/2022 8043 2^338650+61399 101944 Stefano Morozzi 04/2022 8044 2^338650-35655 101944 Stefano Morozzi 06/2022 8045 2^338650+169623 101944 Stefano Morozzi 09/2022 8046 2^338649-40743 101944 Stefano Morozzi 01/2023 8047 2^338645+150311 101943 Stefano Morozzi 11/2021 8048 2^338645+28481 101943 Stefano Morozzi 01/2022 8049 2^338647-77895 101943 Stefano Morozzi 01/2022 8050 2^338647-84607 101943 Stefano Morozzi 04/2022 8051 2^338647+164523 101943 Stefano Morozzi 05/2022 8052 2^338645+64845 101943 Stefano Morozzi 05/2022 8053 2^338644-35969 101943 Stefano Morozzi 12/2022 8054 2^338645-15715 101943 Stefano Morozzi 01/2023 8055 2^338641-152541 101942 Stefano Morozzi 12/2021 8056 2^338643-56487 101942 Stefano Morozzi 03/2022 8057 2^338642-186525 101942 Stefano Morozzi 12/2022 8058 2^338643-41715 101942 Stefano Morozzi 02/2023 8059 2^338638+100575 101941 Stefano Morozzi 12/2021 8060 2^338639-127461 101941 Stefano Morozzi 12/2021 8061 2^338640+187657 101941 Stefano Morozzi 04/2022 8062 2^338640+44431 101941 Stefano Morozzi 09/2022 8063 2^338635+1961 101940 Stefano Morozzi 12/2021 8064 2^338637+102125 101940 Stefano Morozzi 12/2021 8065 2^338636-135329 101940 Stefano Morozzi 06/2022 8066 2^338635+199485 101940 Stefano Morozzi 02/2023 8071 28594^3673+3673^28594 101939 Hans Havermann 02/2019 8067 2^338631+110741 101939 Stefano Morozzi 03/2022 8068 2^338631+112119 101939 Stefano Morozzi 04/2022 8069 2^338634-83097 101939 Stefano Morozzi 04/2022 8070 2^338633+139701 101939 Stefano Morozzi 05/2022 8072 2^338630-150341 101938 Stefano Morozzi 12/2021 8073 2^338630+12867 101938 Stefano Morozzi 04/2022 8074 2^338629+42147 101938 Stefano Morozzi 09/2022 8075 2^338628+121083 101938 Stefano Morozzi 11/2022 8076 2^338630+147235 101938 Stefano Morozzi 11/2022 8077 2^338628-37679 101938 Stefano Morozzi 12/2022 8078 2^338629-41383 101938 Stefano Morozzi 01/2023 8079 2^338628-91877 101938 Stefano Morozzi 02/2023 8080 2^338626-105875 101937 Stefano Morozzi 02/2022 8081 2^338625-111729 101937 Stefano Morozzi 12/2022 8082 2^338627+49299 101937 Stefano Morozzi 02/2023 8083 2^338621+33069 101936 Stefano Morozzi 02/2022 8084 2^338623-106405 101936 Stefano Morozzi 03/2022 8085 2^338621+61751 101936 Stefano Morozzi 04/2022 8086 2^338623-86577 101936 Stefano Morozzi 12/2022 8087 2^338620-150735 101935 Stefano Morozzi 12/2021 8088 2^338619-27765 101935 Stefano Morozzi 01/2022 8089 2^338619-77959 101935 Stefano Morozzi 01/2022 8090 2^338619-186367 101935 Stefano Morozzi 12/2022 8091 2^338618-64905 101935 Stefano Morozzi 01/2023 8092 2^338615+151655 101934 Stefano Morozzi 12/2021 8093 2^338616+5047 101934 Stefano Morozzi 01/2022 8094 2^338616+39705 101934 Stefano Morozzi 05/2022 8095 2^338617+149321 101934 Stefano Morozzi 02/2023 8096 2^338611+76659 101933 Stefano Morozzi 12/2021 8097 2^338613-109791 101933 Stefano Morozzi 04/2022 8098 2^338612+119583 101933 Stefano Morozzi 09/2022 8099 2^338611-140397 101933 Stefano Morozzi 01/2023 8100 2^338614-39653 101933 Stefano Morozzi 01/2023 8101 2^338609+130139 101932 Stefano Morozzi 01/2022 8102 2^338609+131327 101932 Stefano Morozzi 01/2022 8103 2^338608-155453 101932 Stefano Morozzi 02/2022 8104 2^338609+161721 101932 Stefano Morozzi 04/2022 8105 2^338609-10405 101932 Stefano Morozzi 06/2022 8106 2^338608+94017 101932 Stefano Morozzi 09/2022 8107 2^338610+170515 101932 Stefano Morozzi 11/2022 8108 2^338607+30611 101931 Stefano Morozzi 01/2022 8109 2^338607+106695 101931 Stefano Morozzi 02/2022 8110 2^338606-32291 101931 Stefano Morozzi 03/2022 8111 2^338606+15195 101931 Stefano Morozzi 05/2022 8112 2^338605+197789 101931 Stefano Morozzi 11/2022 8113 2^338607-90621 101931 Stefano Morozzi 01/2023 8114 2^338603-1195 101930 Stefano Morozzi 12/2021 8115 2^338601+108867 101930 Stefano Morozzi 03/2022 8116 2^338603+34311 101930 Stefano Morozzi 03/2022 8117 2^338598+57127 101929 Stefano Morozzi 02/2022 8118 2^338598+162645 101929 Stefano Morozzi 04/2022 8119 2^338599+43445 101929 Stefano Morozzi 09/2022 8120 2^338599+19485 101929 Stefano Morozzi 09/2022 8121 2^338598+46195 101929 Stefano Morozzi 11/2022 8122 2^338600-36393 101929 Stefano Morozzi 12/2022 8123 2^338596-1739 101928 Stefano Morozzi 12/2021 8124 2^338595-78687 101928 Stefano Morozzi 01/2022 8125 2^338595+181683 101928 Stefano Morozzi 02/2022 8126 2^338597-106045 101928 Stefano Morozzi 02/2022 8127 2^338595+119565 101928 Stefano Morozzi 09/2022 8128 2^338595+19623 101928 Stefano Morozzi 09/2022 8129 2^338595+21711 101928 Stefano Morozzi 11/2022 8130 2^338596-111129 101928 Stefano Morozzi 12/2022 8131 2^338591+53769 101927 Stefano Morozzi 01/2022 8132 2^338593+156989 101927 Stefano Morozzi 02/2022 8133 2^338592+36157 101927 Stefano Morozzi 03/2022 8134 2^338593+42099 101927 Stefano Morozzi 09/2022 8135 2^338591+46685 101927 Stefano Morozzi 11/2022 8136 2^338593+120437 101927 Stefano Morozzi 11/2022 8137 2^338591-165517 101927 Stefano Morozzi 01/2023 8138 2^338592-166107 101927 Stefano Morozzi 01/2023 8139 2^338592-189249 101927 Stefano Morozzi 01/2023 8140 2^338594-40493 101927 Stefano Morozzi 01/2023 8141 2^338590+182007 101926 Stefano Morozzi 02/2022 8142 2^338590+60747 101926 Stefano Morozzi 03/2022 8143 2^338588+62397 101926 Stefano Morozzi 04/2022 8144 2^338589-9685 101926 Stefano Morozzi 04/2022 8145 2^338588+73765 101926 Stefano Morozzi 02/2023 8146 2^338589-16915 101926 Stefano Morozzi 02/2023 8153 (2^338587+2306)/2 101925 Stefano Morozzi 02/2021 8147 2^338586+1153 101925 Stefano Morozzi 12/2021 8148 2^338587-51709 101925 Stefano Morozzi 12/2021 8149 2^338586+105303 101925 Stefano Morozzi 01/2022 8150 2^338585-131773 101925 Stefano Morozzi 03/2022 8151 2^338587+168039 101925 Stefano Morozzi 09/2022 8152 2^338585-140719 101925 Stefano Morozzi 01/2023 8154 2^338584+100771 101924 Stefano Morozzi 11/2021 8155 2^338581-150415 101924 Stefano Morozzi 12/2021 8156 2^338581-2349 101924 Stefano Morozzi 12/2021 8157 2^338582+42933 101924 Stefano Morozzi 09/2022 8158 2^338584+93267 101924 Stefano Morozzi 09/2022 8159 2^338582-86697 101924 Stefano Morozzi 12/2022 8160 2^338582-138035 101924 Stefano Morozzi 12/2022 8161 2^338584-115569 101924 Stefano Morozzi 01/2023 8162 2^338581-92793 101924 Stefano Morozzi 02/2023 8163 2^338578+67593 101923 Stefano Morozzi 09/2022 8164 2^338580+142201 101923 Stefano Morozzi 09/2022 8165 2^338579-14635 101923 Stefano Morozzi 01/2023 8166 2^338579-164985 101923 Stefano Morozzi 01/2023 8167 2^338575-28815 101922 Stefano Morozzi 01/2022 8168 2^338575-33645 101922 Stefano Morozzi 04/2022 8169 2^338577-92239 101922 Stefano Morozzi 02/2023 8170 2^338573-156693 101921 Stefano Morozzi 03/2022 8171 2^338572+193305 101921 Stefano Morozzi 09/2022 8172 2^338573+173751 101921 Stefano Morozzi 02/2023 8173 2^338574+73707 101921 Stefano Morozzi 02/2023 8178 2^338568+37 101920 Lelio R Paula 07/2011 8174 2^338570-53933 101920 Stefano Morozzi 02/2022 8175 2^338569+87201 101920 Stefano Morozzi 04/2022 8176 2^338570-36897 101920 Stefano Morozzi 12/2022 8177 2^338570-61157 101920 Stefano Morozzi 12/2022 8179 2^338567-9619 101919 Stefano Morozzi 04/2022 8180 2^338565-141589 101919 Stefano Morozzi 01/2023 8181 2^338565+148821 101919 Stefano Morozzi 02/2023 8182 2^338564-56763 101918 Stefano Morozzi 03/2022 8183 2^338561+112007 101918 Stefano Morozzi 04/2022 8184 2^338561-9315 101918 Stefano Morozzi 04/2022 8185 2^338564+41965 101918 Stefano Morozzi 09/2022 8186 2^338561+121139 101918 Stefano Morozzi 11/2022 8187 2^338562+21799 101918 Stefano Morozzi 11/2022 8195 2^338559-1858777 101917 Enzo Doria 04/2016 8188 2^338558+4825 101917 Stefano Morozzi 01/2022 8189 2^338559-127935 101917 Stefano Morozzi 01/2022 8190 2^338560+154891 101917 Stefano Morozzi 01/2022 8191 2^338559+131885 101917 Stefano Morozzi 02/2022 8192 2^338558+93735 101917 Stefano Morozzi 09/2022 8193 2^338559-90957 101917 Stefano Morozzi 01/2023 8194 2^338559-190761 101917 Stefano Morozzi 01/2023 8196 2^338555+189981 101916 Stefano Morozzi 05/2022 8197 2^338553-125383 101915 Stefano Morozzi 12/2021 8198 2^338554-82821 101915 Stefano Morozzi 03/2022 8199 2^338548+76923 101914 Stefano Morozzi 12/2021 8200 2^338549+158517 101914 Stefano Morozzi 03/2022 8201 2^338549+85397 101914 Stefano Morozzi 03/2022 8202 2^338548+138121 101914 Stefano Morozzi 05/2022 8203 2^338550-110301 101914 Stefano Morozzi 06/2022 8204 2^338547+129321 101913 Stefano Morozzi 01/2022 8205 2^338547-153481 101913 Stefano Morozzi 01/2022 8206 2^338545-11059 101913 Stefano Morozzi 12/2022 8207 2^338544+107853 101912 Stefano Morozzi 02/2022 8208 2^338542+172813 101912 Stefano Morozzi 11/2022 8209 2^338544-12687 101912 Stefano Morozzi 12/2022 8210 2^338543-140677 101912 Stefano Morozzi 01/2023 8211 2^338541+152721 101911 Stefano Morozzi 01/2022 8212 2^338539+60825 101911 Stefano Morozzi 03/2022 8213 2^338539+160881 101911 Stefano Morozzi 03/2022 8214 2^338541-182523 101911 Stefano Morozzi 03/2022 8215 2^338540+87645 101911 Stefano Morozzi 04/2022 8216 2^338541+148305 101911 Stefano Morozzi 11/2022 8217 2^338541-163075 101911 Stefano Morozzi 12/2022 8218 2^338536-100785 101910 Stefano Morozzi 12/2021 8219 2^338535-51837 101910 Stefano Morozzi 12/2021 8220 2^338535-158745 101910 Stefano Morozzi 04/2022 8221 2^338536-189977 101910 Stefano Morozzi 01/2023 8222 2^338537-65623 101910 Stefano Morozzi 01/2023 8223 2^338532+39445 101909 Stefano Morozzi 05/2022 8224 2^338532+141415 101909 Stefano Morozzi 06/2022 8225 2^338532-136037 101909 Stefano Morozzi 06/2022 8226 2^338531+81081 101908 Stefano Morozzi 01/2022 8227 2^338530+59835 101908 Stefano Morozzi 03/2022 8228 2^338529+186551 101908 Stefano Morozzi 04/2022 8229 2^338531+61313 101908 Stefano Morozzi 04/2022 8230 2^338531-9277 101908 Stefano Morozzi 04/2022 8231 2^338528-92727 101908 Stefano Morozzi 02/2023 8232 2^338527+191205 101907 Stefano Morozzi 06/2022 8233 2^338525+99621 101907 Stefano Morozzi 02/2023 8234 2^338524+54421 101906 Stefano Morozzi 01/2022 8235 2^338522-155811 101906 Stefano Morozzi 02/2022 8236 2^338523-16291 101906 Stefano Morozzi 01/2023 8237 2^338522-142137 101906 Stefano Morozzi 02/2023 8238 2^338521+183131 101905 Stefano Morozzi 02/2022 8239 2^338520+34945 101905 Stefano Morozzi 03/2022 8240 2^338518-182885 101905 Stefano Morozzi 04/2022 8241 2^338518+114633 101905 Stefano Morozzi 05/2022 8242 2^338518-12621 101905 Stefano Morozzi 12/2022 8243 2^338518-187325 101905 Stefano Morozzi 12/2022 8244 2^338517-125955 101904 Stefano Morozzi 12/2021 8245 2^338517+126437 101904 Stefano Morozzi 12/2021 8246 2^338517-53499 101904 Stefano Morozzi 01/2022 8247 2^338515+30369 101904 Stefano Morozzi 01/2022 8248 2^338517-184623 101904 Stefano Morozzi 04/2022 8249 2^338515+89333 101904 Stefano Morozzi 05/2022 8250 2^338515+198813 101904 Stefano Morozzi 02/2023

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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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