PRP Records

Probable Primes Top 10000

(294687 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 ?
900810^100002+236023100003Stefano Morozzi05/2018
900910^100002+433741100003Stefano Morozzi05/2018
90012^332202+941595100003Stefano Morozzi04/2019
90022^332202+445813100003Stefano Morozzi04/2019
90032^332202+1599727100003Stefano Morozzi04/2019
90042^332202+1389567100003Stefano Morozzi04/2019
90052^332202+1206315100003Stefano Morozzi04/2019
90062^332202+1958647100003Stefano Morozzi04/2019
900710^100003-562857100003Patrick De Geest07/2019
9010(10^100002-1)/9-10^33441100002Akihiko Yoshida03/2018
9011(10^100002-1)/9-10^44692100002Akihiko Yoshida03/2018
901210^100002-249519100002Patrick De Geest07/2018
901310^100001+314199100002Patrick De Geest07/2018
903310^100000+3938473100001Robert Price05/2015
903410^100000+3979761100001Robert Price05/2015
903510^100000+4293973100001Robert Price09/2015
903010^100000+4858267100001Robert Price12/2015
903110^100000+5113299100001Robert Price02/2016
903210^100000+5169411100001Robert Price02/2016
902210^100000+5354043100001Robert Price05/2016
902310^100000+5717979100001Robert Price05/2016
902410^100000+6080631100001Robert Price07/2016
902510^100000+6308469100001Robert Price07/2016
902610^100000+6512023100001Robert Price08/2016
902710^100000+6596557100001Robert Price08/2016
902810^100000+7115409100001Robert Price10/2016
902910^100000+7235803100001Robert Price10/2016
903910^100000+7867333100001Robert Price12/2016
904010^100000+8743093100001Robert Price02/2017
904110^100000+8955391100001Robert Price03/2017
904210^100000+9180019100001Robert Price03/2017
904310^100000+9225987100001Robert Price04/2017
904410^100000+9265587100001Robert Price04/2017
904510^100000+9287049100001Robert Price04/2017
904610^100000+9425053100001Robert Price05/2017
904710^100000+9450769100001Robert Price05/2017
904810^100000+9528747100001Robert Smith05/2017
904910^100000+9548071100001Robert Price06/2017
905010^100000+10064287100001Robert Price08/2017
905110^100000+10229569100001Robert Price10/2017
901410^100000+11187931100001Robert Price03/2018
901510^100000+11264721100001Robert Price04/2018
901610^100000+11477661100001Robert Price05/2018
901710^100000+11644653100001Robert Price07/2018
901810^100001-431439100001Patrick De Geest07/2018
901910^100000+11769399100001Robert Price08/2018
902010^100000+11848159100001Robert Price08/2018
902110^100000+11863467100001Robert Price08/2018
903610^100000+11992051100001Robert Price09/2018
90372^332196-1-2*29696100001Matt Stath11/2018
903810^100000+12363957100001Robert Price11/2018
90522^332196+1+2*17152100001Matt Stath12/2018
905310^100000+12778033100001Robert Price02/2019
905410^100000+13581679100001Robert Price05/2019
905510^100000+13613199100001Robert Price05/2019
905610^100000+13752327100001Robert Price05/2019
905710^100000+14139243100001Robert Price06/2019
905810^100000+14151057100001Robert Price06/2019
905910^100000+14218923100001Robert Price06/2019
923210^100000+19956229100001Robert Price09/2020
923310^100000+3*(10^37093-1)/9*10^31454+1100001Makoto Morimoto09/2020
923410^100000+4*(10^36149-1)/9*10^31926+1100001Makoto Morimoto09/2020
923510^100000+6*(10^41029-1)/9*10^29486+1100001Makoto Morimoto09/2020
923610^100000+7*(10^55505-1)/9*10^22248+1100001Makoto Morimoto09/2020
923710^100000+20234607100001Robert Price10/2020
923810^100000+20752303100001Robert Price11/2020
923910^100000+20774041100001Robert Price11/2020
924010^100000+20854741100001Robert Price11/2020
924110^100000+20908917100001Robert Price11/2020
924210^100000+20994793100001Robert Price11/2020
924310^100000+21354249100001Robert Price12/2020
924410^100000+21455559100001Robert Price12/2020
924510^100000+21538873100001Robert Price12/2020
924610^100000+21830901100001Robert Price01/2021
924710^100000+21842629100001Robert Price01/2021
924810^100000+21930861100001Robert Price01/2021
924910^100000+22092943100001Robert Price03/2021
925010^100000+22278417100001Robert Price03/2021
906010^100000+24543147100001Robert Price08/2021
906110^100000+24781659100001Robert Price08/2021
906210^100000+24906153100001Robert Price08/2021
906310^100000+25682679100001Robert Price10/2021
906410^100000+25905301100001Robert Price10/2021
906510^100000+25923967100001Robert Price10/2021
906610^100000+26061691100001Robert Price10/2021
906710^100000+26173351100001Robert Price11/2021
906810^100000+26673487100001Robert Price11/2021
906910^100000+26849359100001Robert Price12/2021
907010^100000+26893887100001Robert Price12/2021
907110^100000+26954551100001Robert Price12/2021
907210^100000+27024543100001Robert Price12/2021
907310^100000+27060877100001Robert Price12/2021
907410^100000+27617577100001Robert Price03/2022
907510^100000+27869671100001Robert Price03/2022
907610^100000+27956481100001Robert Price03/2022
907710^100000+28078261100001Robert Price03/2022
907810^100000+28150203100001Robert Price03/2022
907910^100000+28626021100001Robert Price05/2022
908010^100000+28649299100001Robert Price05/2022
908110^100000+29409799100001Robert Price06/2022
908210^100000+29415577100001Robert Price06/2022
908310^100000+29424201100001Robert Price06/2022
908410^100000+29610153100001Robert Price07/2022
908510^100000+30166789100001Robert Price07/2022
908610^100000+30338259100001Robert Price07/2022
908710^100000+30540031100001Robert Price07/2022
908810^100000+30635157100001Robert Price07/2022
908910^100000+30762711100001Robert Price07/2022
909010^100000+30862057100001Robert Price07/2022
909110^100000+30998953100001Robert Price07/2022
909210^100000+31405203100001Robert Price07/2022
909310^100000+40159119100001Robert Price07/2022
909410^100000+40181863100001Robert Price07/2022
909510^100000+40277131100001Robert Price07/2022
909610^100000+40326061100001Robert Price07/2022
909710^100000+40417411100001Robert Price07/2022
909810^100000+50049909100001Robert Price07/2022
909910^100000+50510163100001Robert Price07/2022
910010^100000+50591583100001Robert Price07/2022
910110^100000+50850357100001Robert Price07/2022
910210^100000+50974641100001Robert Price07/2022
910310^100000+51046671100001Robert Price07/2022
910410^100000+51459657100001Robert Price07/2022
910510^100000+70081471100001Robert Price07/2022
910610^100000+70159557100001Robert Price07/2022
910710^100000+70262479100001Robert Price07/2022
910810^100000+70417521100001Robert Price07/2022
910910^100000+70476531100001Robert Price07/2022
911010^100000+70534627100001Robert Price07/2022
911110^100000+70873077100001Robert Price07/2022
911210^100000+71114643100001Robert Price07/2022
911310^100000+71272539100001Robert Price07/2022
911410^100000+80025337100001Robert Price07/2022
911510^100000+71580817100001Robert Price07/2022
911610^100000+80270349100001Robert Price07/2022
911710^100000+29831551100001Robert Price07/2022
911810^100000+29955417100001Robert Price08/2022
9119479072067*10^99992+1+2*1779100001Matt Stath12/2022
912010^100000+90000000+851439100001Robert Price04/2023
912110^100000+90000000+1088017100001Robert Price04/2023
912210^100000+90000000+1288173100001Robert Price04/2023
912310^100000+90000000+1324549100001Robert Price04/2023
912410^100000+90000000+3643869100001Robert Price04/2023
912510^100000+110000000+60221100001Robert Price04/2023
912610^100000+110000000+373261100001Robert Price04/2023
912710^100000+110000000+497513100001Robert Price04/2023
912810^100000+120000000+33823100001Robert Price04/2023
912910^100000+120000000+419053100001Robert Price04/2023
913010^100000+32110183100001Robert Price09/2023
913110^100000+32401957100001Robert Price09/2023
913210^100000+32301613100001Robert Price09/2023
913310^100000+32784673100001Robert Price09/2023
913410^100000+32896891100001Robert Price09/2023
913510^100000+33279769100001Robert Price09/2023
913610^100000+33648571100001Robert Price09/2023
913710^100000+35157571100001Robert Price09/2023
913810^100000+35226249100001Robert Price09/2023
913910^100000+35282473100001Robert Price09/2023
914010^100000+35948761100001Robert Price09/2023
914110^100000+36443959100001Robert Price09/2023
914210^100000+36497599100001Robert Price09/2023
914310^100000+36558403100001Robert Price09/2023
914410^100000+36812521100001Robert Price09/2023
914510^100000+36858877100001Robert Price09/2023
914610^100000+37230043100001Robert Price09/2023
914710^100000+37449007100001Robert Price09/2023
914810^100000+37329319100001Robert Price09/2023
914910^100000+37677673100001Robert Price09/2023
915010^100000+37696443100001Robert Price09/2023
915110^100000+37782939100001Robert Price09/2023
915210^100000+37952341100001Robert Price09/2023
915310^100000+37954359100001Robert Price09/2023
915410^100000+37962607100001Robert Price09/2023
915510^100000+38385177100001Robert Price09/2023
915610^100000+38497629100001Robert Price09/2023
915710^100000+38506677100001Robert Price09/2023
915810^100000+38707363100001Robert Price09/2023
915910^100000+38769241100001Robert Price09/2023
916010^100000+38974447100001Robert Price09/2023
916110^100000+39124453100001Robert Price09/2023
916210^100000+39127687100001Robert Price09/2023
916310^100000+39197317100001Robert Price09/2023
916410^100000+39465897100001Robert Price09/2023
916510^100000+40588669100001Robert Price09/2023
916610^100000+40944997100001Robert Price09/2023
916710^100000+40948201100001Robert Price09/2023
916810^100000+41456151100001Robert Price09/2023
916910^100000+41492707100001Robert Price09/2023
917010^100000+41653389100001Robert Price09/2023
917110^100000+41853379100001Robert Price09/2023
917210^100000+41983459100001Robert Price09/2023
917310^100000+42043387100001Robert Price09/2023
917410^100000+42048453100001Robert Price09/2023
917510^100000+42336543100001Robert Price09/2023
917610^100000+42394797100001Robert Price09/2023
917710^100000+42880261100001Robert Price09/2023
917810^100000+42906303100001Robert Price09/2023
917910^100000+43061901100001Robert Price09/2023
918010^100000+43089789100001Robert Price09/2023
918110^100000+43418013100001Robert Price09/2023
918210^100000+43813831100001Robert Price09/2023
918310^100000+43950739100001Robert Price09/2023
918410^100000+44108359100001Robert Price09/2023
918510^100000+44183733100001Robert Price09/2023
918610^100000+45126303100001Robert Price09/2023
918710^100000+45218437100001Robert Price09/2023
918810^100000+45241837100001Robert Price09/2023
918910^100000+45665701100001Robert Price09/2023
919010^100000+60000000+8592669100001Robert Price10/2023
919110^100000+60000000+9092577100001Robert Price10/2023
919210^100000+60000000+9210001100001Robert Price10/2023
919310^100000+60000000+9402451100001Robert Price10/2023
919410^100000+60000000+9794877100001Robert Price10/2023
919510^100000+60000000+9951523100001Robert Price10/2023
919610^100000+72282091100001Robert Price11/2023
919710^100000+72440769100001Robert Price11/2023
919810^100000+73067163100001Robert Price11/2023
919910^100000+73186987100001Robert Price11/2023
920010^100000+73364199100001Robert Price11/2023
920110^100000+73582809100001Robert Price11/2023
920210^100000+73780641100001Robert Price11/2023
920310^100000+73803067100001Robert Price11/2023
920410^100000+74038329100001Robert Price11/2023
920510^100000+74050969100001Robert Price11/2023
920610^100000+74166241100001Robert Price11/2023
920710^100000+74812939100001Robert Price11/2023
920810^100000+75141423100001Robert Price11/2023
920910^100000+75209967100001Robert Price11/2023
921010^100000+75324327100001Robert Price11/2023
921110^100000+75681951100001Robert Price11/2023
921210^100000+75756217100001Robert Price11/2023
921310^100000+75904543100001Robert Price11/2023
921410^100000+76129519100001Robert Price11/2023
921510^100000+77011297100001Robert Price11/2023
921610^100000+77133961100001Robert Price11/2023
921710^100000+77281647100001Robert Price11/2023
921810^100000+77316129100001Robert Price11/2023
921910^100000+77431989100001Robert Price11/2023
922010^100000+77826001100001Robert Price11/2023
922110^100000+77912487100001Robert Price11/2023
922210^100000+77981233100001Robert Price11/2023
922310^100000+78381711100001Robert Price11/2023
922410^100000+78539001100001Robert Price11/2023
922510^100000+78766053100001Robert Price11/2023
922610^100000+79189899100001Robert Price11/2023
922710^100000+78957711100001Robert Price11/2023
922810^100000+79685547100001Robert Price11/2023
922910^100000+79726413100001Robert Price11/2023
923010^100000+79726737100001Robert Price11/2023
923110^100000+79826767100001Robert Price11/2023


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 27 2024 11:51 (Time in France)

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