PRP Records

Probable Primes Top 10000

(295532 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 ?
9251(2^332317+2106)/2100038Stefano Morozzi09/2020
92532^332309-133100035Lelio R Paula02/2011
92542^332307+731100035Lelio R Paula07/2011
9252937^33662-33662^937100035Norbert Schneider05/2023
92552^332301+12927100033Lelio R Paula04/2013
925617025^23642-23642^17025100032Norbert Schneider04/2024
925723406^18781+18781^23406100031Hans Havermann04/2018
92582^332277-4573100026Yves Minet03/2019
925912^92684-13100023Lelio R Paula07/2016
926070^54207-54207^70100018Norbert Schneider04/2023
926178557*2^332193+55669100005Jorge Menendez04/2019
926278557*2^332192+72689100005Jorge Menendez04/2019
926310^100003+45799100004Stefano Morozzi04/2019
926410^100003+155461100004Stefano Morozzi04/2019
926510^100003+211389100004Stefano Morozzi04/2019
926610^100003+381027100004Stefano Morozzi04/2019
926710^100003+540703100004Stefano Morozzi04/2019
926810^100003+823977100004Stefano Morozzi04/2019
928010^100002+236023100003Stefano Morozzi05/2018
928110^100002+433741100003Stefano Morozzi05/2018
92692^332202+104659100003Stefano Morozzi04/2019
92702^332202+857539100003Stefano Morozzi04/2019
92712^332202+181773100003Stefano Morozzi04/2019
92722^332202+687543100003Stefano Morozzi04/2019
92732^332202+941595100003Stefano Morozzi04/2019
92742^332202+445813100003Stefano Morozzi04/2019
92752^332202+1599727100003Stefano Morozzi04/2019
92762^332202+1389567100003Stefano Morozzi04/2019
92772^332202+1206315100003Stefano Morozzi04/2019
92782^332202+1958647100003Stefano Morozzi04/2019
927910^100003-562857100003Patrick De Geest07/2019
9282(10^100002-1)/9-10^33441100002Akihiko Yoshida03/2018
9283(10^100002-1)/9-10^44692100002Akihiko Yoshida03/2018
928410^100002-249519100002Patrick De Geest07/2018
928510^100001+314199100002Patrick De Geest07/2018
933625206!+p(4114)100001Henri Lifchitz09/2005
933725206!-p(5447)100001Henri Lifchitz10/2005
933825206!-p(12402)100001Henri Lifchitz04/2006
933925206!-p(16290)100001Henri Lifchitz09/2006
934025206!-p(19647)100001Henri Lifchitz02/2007
93412^332194+11473100001Henri Lifchitz03/2007
933110^100000+342909100001Milton L. Brown12/2007
933210^100000+346579100001Robert Price04/2012
933310^100000+829767100001Robert Price05/2012
933410^100000+871899100001Robert Price05/2012
933510^100000+1475997100001Robert Price07/2012
932410^100000+1751769100001Robert Price08/2012
932510^100000+2155489100001Robert Price10/2012
932610^100000+2483527100001Robert Price12/2012
932710^100000+2503087100001Robert Price12/2012
932810^100000+2686179100001Robert Price12/2012
932910^100000+2688933100001Robert Price12/2012
933010^100000+3667159100001Robert Price08/2013
930510^100000+3938473100001Robert Price05/2015
930610^100000+3979761100001Robert Price05/2015
930710^100000+4293973100001Robert Price09/2015
930210^100000+4858267100001Robert Price12/2015
930310^100000+5113299100001Robert Price02/2016
930410^100000+5169411100001Robert Price02/2016
929410^100000+5354043100001Robert Price05/2016
929510^100000+5717979100001Robert Price05/2016
929610^100000+6080631100001Robert Price07/2016
929710^100000+6308469100001Robert Price07/2016
929810^100000+6512023100001Robert Price08/2016
929910^100000+6596557100001Robert Price08/2016
930010^100000+7115409100001Robert Price10/2016
930110^100000+7235803100001Robert Price10/2016
931110^100000+7867333100001Robert Price12/2016
931210^100000+8743093100001Robert Price02/2017
931310^100000+8955391100001Robert Price03/2017
931410^100000+9180019100001Robert Price03/2017
931510^100000+9225987100001Robert Price04/2017
931610^100000+9265587100001Robert Price04/2017
931710^100000+9287049100001Robert Price04/2017
931810^100000+9425053100001Robert Price05/2017
931910^100000+9450769100001Robert Price05/2017
932010^100000+9528747100001Robert Smith05/2017
932110^100000+9548071100001Robert Price06/2017
932210^100000+10064287100001Robert Price08/2017
932310^100000+10229569100001Robert Price10/2017
928610^100000+11187931100001Robert Price03/2018
928710^100000+11264721100001Robert Price04/2018
928810^100000+11477661100001Robert Price05/2018
928910^100000+11644653100001Robert Price07/2018
929010^100001-431439100001Patrick De Geest07/2018
929110^100000+11769399100001Robert Price08/2018
929210^100000+11848159100001Robert Price08/2018
929310^100000+11863467100001Robert Price08/2018
930810^100000+11992051100001Robert Price09/2018
93092^332196-1-2*29696100001Matt Stath11/2018
931010^100000+12363957100001Robert Price11/2018
93422^332196+1+2*17152100001Matt Stath12/2018
934310^100000+12778033100001Robert Price02/2019
934410^100000+13581679100001Robert Price05/2019
934510^100000+13613199100001Robert Price05/2019
934610^100000+13752327100001Robert Price05/2019
934710^100000+14139243100001Robert Price06/2019
934810^100000+14151057100001Robert Price06/2019
934910^100000+14218923100001Robert Price06/2019
935010^100000+24543147100001Robert Price08/2021
935110^100000+24781659100001Robert Price08/2021
935210^100000+24906153100001Robert Price08/2021
935310^100000+25682679100001Robert Price10/2021
935410^100000+25905301100001Robert Price10/2021
935510^100000+25923967100001Robert Price10/2021
935610^100000+26061691100001Robert Price10/2021
935710^100000+26173351100001Robert Price11/2021
935810^100000+26673487100001Robert Price11/2021
935910^100000+26849359100001Robert Price12/2021
936010^100000+26893887100001Robert Price12/2021
936110^100000+26954551100001Robert Price12/2021
936210^100000+27024543100001Robert Price12/2021
936310^100000+27060877100001Robert Price12/2021
936410^100000+27617577100001Robert Price03/2022
936510^100000+27869671100001Robert Price03/2022
936610^100000+27956481100001Robert Price03/2022
936710^100000+28078261100001Robert Price03/2022
936810^100000+28150203100001Robert Price03/2022
936910^100000+28626021100001Robert Price05/2022
937010^100000+28649299100001Robert Price05/2022
937110^100000+29409799100001Robert Price06/2022
937210^100000+29415577100001Robert Price06/2022
937310^100000+29424201100001Robert Price06/2022
937410^100000+29610153100001Robert Price07/2022
937510^100000+30166789100001Robert Price07/2022
937610^100000+30338259100001Robert Price07/2022
937710^100000+30540031100001Robert Price07/2022
937810^100000+30635157100001Robert Price07/2022
937910^100000+30762711100001Robert Price07/2022
938010^100000+30862057100001Robert Price07/2022
938110^100000+30998953100001Robert Price07/2022
938210^100000+31405203100001Robert Price07/2022
938310^100000+40159119100001Robert Price07/2022
938410^100000+40181863100001Robert Price07/2022
938510^100000+40277131100001Robert Price07/2022
938610^100000+40326061100001Robert Price07/2022
938710^100000+40417411100001Robert Price07/2022
938810^100000+50049909100001Robert Price07/2022
938910^100000+50510163100001Robert Price07/2022
939010^100000+50591583100001Robert Price07/2022
939110^100000+50850357100001Robert Price07/2022
939210^100000+50974641100001Robert Price07/2022
939310^100000+51046671100001Robert Price07/2022
939410^100000+51459657100001Robert Price07/2022
939510^100000+70081471100001Robert Price07/2022
939610^100000+70159557100001Robert Price07/2022
939710^100000+70262479100001Robert Price07/2022
939810^100000+70417521100001Robert Price07/2022
939910^100000+70476531100001Robert Price07/2022
940010^100000+70534627100001Robert Price07/2022
940110^100000+70873077100001Robert Price07/2022
940210^100000+71114643100001Robert Price07/2022
940310^100000+71272539100001Robert Price07/2022
940410^100000+80025337100001Robert Price07/2022
940510^100000+71580817100001Robert Price07/2022
940610^100000+80270349100001Robert Price07/2022
940710^100000+29831551100001Robert Price07/2022
940810^100000+29955417100001Robert Price08/2022
9409479072067*10^99992+1+2*1779100001Matt Stath12/2022
941010^100000+90000000+851439100001Robert Price04/2023
941110^100000+90000000+1088017100001Robert Price04/2023
941210^100000+90000000+1288173100001Robert Price04/2023
941310^100000+90000000+1324549100001Robert Price04/2023
941410^100000+90000000+3643869100001Robert Price04/2023
941510^100000+110000000+60221100001Robert Price04/2023
941610^100000+110000000+373261100001Robert Price04/2023
941710^100000+110000000+497513100001Robert Price04/2023
941810^100000+120000000+33823100001Robert Price04/2023
941910^100000+120000000+419053100001Robert Price04/2023
942010^100000+32110183100001Robert Price09/2023
942110^100000+32401957100001Robert Price09/2023
942210^100000+32301613100001Robert Price09/2023
942310^100000+32784673100001Robert Price09/2023
942410^100000+32896891100001Robert Price09/2023
942510^100000+33279769100001Robert Price09/2023
942610^100000+33648571100001Robert Price09/2023
942710^100000+35157571100001Robert Price09/2023
942810^100000+35226249100001Robert Price09/2023
942910^100000+35282473100001Robert Price09/2023
943010^100000+35948761100001Robert Price09/2023
943110^100000+36443959100001Robert Price09/2023
943210^100000+36497599100001Robert Price09/2023
943310^100000+36558403100001Robert Price09/2023
943410^100000+36812521100001Robert Price09/2023
943510^100000+36858877100001Robert Price09/2023
943610^100000+37230043100001Robert Price09/2023
943710^100000+37449007100001Robert Price09/2023
943810^100000+37329319100001Robert Price09/2023
943910^100000+37677673100001Robert Price09/2023
944010^100000+37696443100001Robert Price09/2023
944110^100000+37782939100001Robert Price09/2023
944210^100000+37952341100001Robert Price09/2023
944310^100000+37954359100001Robert Price09/2023
944410^100000+37962607100001Robert Price09/2023
944510^100000+38385177100001Robert Price09/2023
944610^100000+38497629100001Robert Price09/2023
944710^100000+38506677100001Robert Price09/2023
944810^100000+38707363100001Robert Price09/2023
944910^100000+38769241100001Robert Price09/2023
945010^100000+38974447100001Robert Price09/2023
945110^100000+39124453100001Robert Price09/2023
945210^100000+39127687100001Robert Price09/2023
945310^100000+39197317100001Robert Price09/2023
945410^100000+39465897100001Robert Price09/2023
945510^100000+40588669100001Robert Price09/2023
945610^100000+40944997100001Robert Price09/2023
945710^100000+40948201100001Robert Price09/2023
945810^100000+41456151100001Robert Price09/2023
945910^100000+41492707100001Robert Price09/2023
946010^100000+41653389100001Robert Price09/2023
946110^100000+41853379100001Robert Price09/2023
946210^100000+41983459100001Robert Price09/2023
946310^100000+42043387100001Robert Price09/2023
946410^100000+42048453100001Robert Price09/2023
946510^100000+42336543100001Robert Price09/2023
946610^100000+42394797100001Robert Price09/2023
946710^100000+42880261100001Robert Price09/2023
946810^100000+42906303100001Robert Price09/2023
946910^100000+43061901100001Robert Price09/2023
947010^100000+43089789100001Robert Price09/2023
947110^100000+43418013100001Robert Price09/2023
947210^100000+43813831100001Robert Price09/2023
947310^100000+43950739100001Robert Price09/2023
947410^100000+44108359100001Robert Price09/2023
947510^100000+44183733100001Robert Price09/2023
947610^100000+45126303100001Robert Price09/2023
947710^100000+45218437100001Robert Price09/2023
947810^100000+45241837100001Robert Price09/2023
947910^100000+45665701100001Robert Price09/2023
948010^100000+60000000+8592669100001Robert Price10/2023
948110^100000+60000000+9092577100001Robert Price10/2023
948210^100000+60000000+9210001100001Robert Price10/2023
948310^100000+60000000+9402451100001Robert Price10/2023
948410^100000+60000000+9794877100001Robert Price10/2023
948510^100000+60000000+9951523100001Robert Price10/2023
948610^100000+72282091100001Robert Price11/2023
948710^100000+72440769100001Robert Price11/2023
948810^100000+73067163100001Robert Price11/2023
948910^100000+73186987100001Robert Price11/2023
949010^100000+73364199100001Robert Price11/2023
949110^100000+73582809100001Robert Price11/2023
949210^100000+73780641100001Robert Price11/2023
949310^100000+73803067100001Robert Price11/2023
949410^100000+74038329100001Robert Price11/2023
949510^100000+74050969100001Robert Price11/2023
949610^100000+74166241100001Robert Price11/2023
949710^100000+74812939100001Robert Price11/2023
949810^100000+75141423100001Robert Price11/2023
949910^100000+75209967100001Robert Price11/2023
950010^100000+75324327100001Robert Price11/2023


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 26 2024 20:36 (Time in France)

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