PRP Records

Probable Primes Top 10000

(296025 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) !!!


Submit your PRPs


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 ?
950625206!+p(4114)100001Henri Lifchitz09/2005
950725206!-p(5447)100001Henri Lifchitz10/2005
950825206!-p(12402)100001Henri Lifchitz04/2006
950925206!-p(16290)100001Henri Lifchitz09/2006
951025206!-p(19647)100001Henri Lifchitz02/2007
95112^332194+11473100001Henri Lifchitz03/2007
950110^100000+342909100001Milton L. Brown12/2007
950210^100000+346579100001Robert Price04/2012
950310^100000+829767100001Robert Price05/2012
950410^100000+871899100001Robert Price05/2012
950510^100000+1475997100001Robert Price07/2012
95122^332196+1+2*17152100001Matt Stath12/2018
951310^100000+12778033100001Robert Price02/2019
951410^100000+13581679100001Robert Price05/2019
951510^100000+13613199100001Robert Price05/2019
951610^100000+13752327100001Robert Price05/2019
951710^100000+14139243100001Robert Price06/2019
951810^100000+14151057100001Robert Price06/2019
951910^100000+14218923100001Robert Price06/2019
974310^100000+19956229100001Robert Price09/2020
974410^100000+3*(10^37093-1)/9*10^31454+1100001Makoto Morimoto09/2020
974510^100000+4*(10^36149-1)/9*10^31926+1100001Makoto Morimoto09/2020
974610^100000+6*(10^41029-1)/9*10^29486+1100001Makoto Morimoto09/2020
974710^100000+7*(10^55505-1)/9*10^22248+1100001Makoto Morimoto09/2020
974810^100000+20234607100001Robert Price10/2020
974910^100000+20752303100001Robert Price11/2020
975010^100000+20774041100001Robert Price11/2020
952010^100000+24543147100001Robert Price08/2021
952110^100000+24781659100001Robert Price08/2021
952210^100000+24906153100001Robert Price08/2021
952310^100000+25682679100001Robert Price10/2021
952410^100000+25905301100001Robert Price10/2021
952510^100000+25923967100001Robert Price10/2021
952610^100000+26061691100001Robert Price10/2021
952710^100000+26173351100001Robert Price11/2021
952810^100000+26673487100001Robert Price11/2021
952910^100000+26849359100001Robert Price12/2021
953010^100000+26893887100001Robert Price12/2021
953110^100000+26954551100001Robert Price12/2021
953210^100000+27024543100001Robert Price12/2021
953310^100000+27060877100001Robert Price12/2021
953410^100000+27617577100001Robert Price03/2022
953510^100000+27869671100001Robert Price03/2022
953610^100000+27956481100001Robert Price03/2022
953710^100000+28078261100001Robert Price03/2022
953810^100000+28150203100001Robert Price03/2022
953910^100000+28626021100001Robert Price05/2022
954010^100000+28649299100001Robert Price05/2022
954110^100000+29409799100001Robert Price06/2022
954210^100000+29415577100001Robert Price06/2022
954310^100000+29424201100001Robert Price06/2022
954410^100000+29610153100001Robert Price07/2022
954510^100000+30166789100001Robert Price07/2022
954610^100000+30338259100001Robert Price07/2022
954710^100000+30540031100001Robert Price07/2022
954810^100000+30635157100001Robert Price07/2022
954910^100000+30762711100001Robert Price07/2022
955010^100000+30862057100001Robert Price07/2022
955110^100000+30998953100001Robert Price07/2022
955210^100000+31405203100001Robert Price07/2022
955310^100000+40159119100001Robert Price07/2022
955410^100000+40181863100001Robert Price07/2022
955510^100000+40277131100001Robert Price07/2022
955610^100000+40326061100001Robert Price07/2022
955710^100000+40417411100001Robert Price07/2022
955810^100000+50049909100001Robert Price07/2022
955910^100000+50510163100001Robert Price07/2022
956010^100000+50591583100001Robert Price07/2022
956110^100000+50850357100001Robert Price07/2022
956210^100000+50974641100001Robert Price07/2022
956310^100000+51046671100001Robert Price07/2022
956410^100000+51459657100001Robert Price07/2022
956510^100000+70081471100001Robert Price07/2022
956610^100000+70159557100001Robert Price07/2022
956710^100000+70262479100001Robert Price07/2022
956810^100000+70417521100001Robert Price07/2022
956910^100000+70476531100001Robert Price07/2022
957010^100000+70534627100001Robert Price07/2022
957110^100000+70873077100001Robert Price07/2022
957210^100000+71114643100001Robert Price07/2022
957310^100000+71272539100001Robert Price07/2022
957410^100000+80025337100001Robert Price07/2022
957510^100000+71580817100001Robert Price07/2022
957610^100000+80270349100001Robert Price07/2022
957710^100000+29831551100001Robert Price07/2022
957810^100000+29955417100001Robert Price08/2022
9579479072067*10^99992+1+2*1779100001Matt Stath12/2022
958010^100000+90000000+851439100001Robert Price04/2023
958110^100000+90000000+1088017100001Robert Price04/2023
958210^100000+90000000+1288173100001Robert Price04/2023
958310^100000+90000000+1324549100001Robert Price04/2023
958410^100000+90000000+3643869100001Robert Price04/2023
958510^100000+110000000+60221100001Robert Price04/2023
958610^100000+110000000+373261100001Robert Price04/2023
958710^100000+110000000+497513100001Robert Price04/2023
958810^100000+120000000+33823100001Robert Price04/2023
958910^100000+120000000+419053100001Robert Price04/2023
959010^100000+32110183100001Robert Price09/2023
959110^100000+32401957100001Robert Price09/2023
959210^100000+32301613100001Robert Price09/2023
959310^100000+32784673100001Robert Price09/2023
959410^100000+32896891100001Robert Price09/2023
959510^100000+33279769100001Robert Price09/2023
959610^100000+33648571100001Robert Price09/2023
959710^100000+35157571100001Robert Price09/2023
959810^100000+35226249100001Robert Price09/2023
959910^100000+35282473100001Robert Price09/2023
960010^100000+35948761100001Robert Price09/2023
960110^100000+36443959100001Robert Price09/2023
960210^100000+36497599100001Robert Price09/2023
960310^100000+36558403100001Robert Price09/2023
960410^100000+36812521100001Robert Price09/2023
960510^100000+36858877100001Robert Price09/2023
960610^100000+37230043100001Robert Price09/2023
960710^100000+37449007100001Robert Price09/2023
960810^100000+37329319100001Robert Price09/2023
960910^100000+37677673100001Robert Price09/2023
961010^100000+37696443100001Robert Price09/2023
961110^100000+37782939100001Robert Price09/2023
961210^100000+37952341100001Robert Price09/2023
961310^100000+37954359100001Robert Price09/2023
961410^100000+37962607100001Robert Price09/2023
961510^100000+38385177100001Robert Price09/2023
961610^100000+38497629100001Robert Price09/2023
961710^100000+38506677100001Robert Price09/2023
961810^100000+38707363100001Robert Price09/2023
961910^100000+38769241100001Robert Price09/2023
962010^100000+38974447100001Robert Price09/2023
962110^100000+39124453100001Robert Price09/2023
962210^100000+39127687100001Robert Price09/2023
962310^100000+39197317100001Robert Price09/2023
962410^100000+39465897100001Robert Price09/2023
962510^100000+40588669100001Robert Price09/2023
962610^100000+40944997100001Robert Price09/2023
962710^100000+40948201100001Robert Price09/2023
962810^100000+41456151100001Robert Price09/2023
962910^100000+41492707100001Robert Price09/2023
963010^100000+41653389100001Robert Price09/2023
963110^100000+41853379100001Robert Price09/2023
963210^100000+41983459100001Robert Price09/2023
963310^100000+42043387100001Robert Price09/2023
963410^100000+42048453100001Robert Price09/2023
963510^100000+42336543100001Robert Price09/2023
963610^100000+42394797100001Robert Price09/2023
963710^100000+42880261100001Robert Price09/2023
963810^100000+42906303100001Robert Price09/2023
963910^100000+43061901100001Robert Price09/2023
964010^100000+43089789100001Robert Price09/2023
964110^100000+43418013100001Robert Price09/2023
964210^100000+43813831100001Robert Price09/2023
964310^100000+43950739100001Robert Price09/2023
964410^100000+44108359100001Robert Price09/2023
964510^100000+44183733100001Robert Price09/2023
964610^100000+45126303100001Robert Price09/2023
964710^100000+45218437100001Robert Price09/2023
964810^100000+45241837100001Robert Price09/2023
964910^100000+45665701100001Robert Price09/2023
965010^100000+60000000+8592669100001Robert Price10/2023
965110^100000+60000000+9092577100001Robert Price10/2023
965210^100000+60000000+9210001100001Robert Price10/2023
965310^100000+60000000+9402451100001Robert Price10/2023
965410^100000+60000000+9794877100001Robert Price10/2023
965510^100000+60000000+9951523100001Robert Price10/2023
965610^100000+72282091100001Robert Price11/2023
965710^100000+72440769100001Robert Price11/2023
965810^100000+73067163100001Robert Price11/2023
965910^100000+73186987100001Robert Price11/2023
966010^100000+73364199100001Robert Price11/2023
966110^100000+73582809100001Robert Price11/2023
966210^100000+73780641100001Robert Price11/2023
966310^100000+73803067100001Robert Price11/2023
966410^100000+74038329100001Robert Price11/2023
966510^100000+74050969100001Robert Price11/2023
966610^100000+74166241100001Robert Price11/2023
966710^100000+74812939100001Robert Price11/2023
966810^100000+75141423100001Robert Price11/2023
966910^100000+75209967100001Robert Price11/2023
967010^100000+75324327100001Robert Price11/2023
967110^100000+75681951100001Robert Price11/2023
967210^100000+75756217100001Robert Price11/2023
967310^100000+75904543100001Robert Price11/2023
967410^100000+76129519100001Robert Price11/2023
967510^100000+77011297100001Robert Price11/2023
967610^100000+77133961100001Robert Price11/2023
967710^100000+77281647100001Robert Price11/2023
967810^100000+77316129100001Robert Price11/2023
967910^100000+77431989100001Robert Price11/2023
968010^100000+77826001100001Robert Price11/2023
968110^100000+77912487100001Robert Price11/2023
968210^100000+77981233100001Robert Price11/2023
968310^100000+78381711100001Robert Price11/2023
968410^100000+78539001100001Robert Price11/2023
968510^100000+78766053100001Robert Price11/2023
968610^100000+79189899100001Robert Price11/2023
968710^100000+78957711100001Robert Price11/2023
968810^100000+79685547100001Robert Price11/2023
968910^100000+79726413100001Robert Price11/2023
969010^100000+79726737100001Robert Price11/2023
969110^100000+79826767100001Robert Price11/2023
969210^100000+64067989100001Robert Price07/2024
969310^100000+64537969100001Robert Price07/2024
969410^100000+64684401100001Robert Price07/2024
969510^100000+65078241100001Robert Price07/2024
969610^100000+65108589100001Robert Price07/2024
969710^100000+65321659100001Robert Price07/2024
969810^100000+65530773100001Robert Price07/2024
969910^100000+60000000+2860971100001Robert Price07/2024
970010^100000+60000000+2993517100001Robert Price07/2024
970110^100000+60000000+3372931100001Robert Price07/2024
970210^100000+60000000+3571039100001Robert Price07/2024
970310^100000+60000000+3701257100001Robert Price07/2024
970410^100000+60000000+3765727100001Robert Price07/2024
970510^100000+40000000+8024501100001Robert Price07/2024
970610^100000+40000000+8234057100001Robert Price07/2024
970710^100000+40000000+8313399100001Robert Price07/2024
970810^100000+40000000+8831817100001Robert Price07/2024
970910^100000+40000000+9154433100001Robert Price07/2024
971010^100000+40000000+9457031100001Robert Price07/2024
971110^100000+40000000+9741063100001Robert Price07/2024
971210^100000+46334983100001Robert Price07/2024
971310^100000+46408929100001Robert Price07/2024
971410^100000+46477587100001Robert Price07/2024
971510^100000+46484211100001Robert Price07/2024
971610^100000+46496169100001Robert Price07/2024
971710^100000+46629949100001Robert Price07/2024
971810^100000+46655869100001Robert Price07/2024
971910^100000+47167941100001Robert Price07/2024
972010^100000+47225599100001Robert Price07/2024
972110^100000+47784519100001Robert Price07/2024
972210^100000+47831149100001Robert Price07/2024
972310^100000+66130887100001Robert Price08/2024
972410^100000+66483619100001Robert Price08/2024
972510^100000+66514179100001Robert Price08/2024
972610^100000+86195829100001Robert Price09/2024
972710^100000+86236449100001Robert Price09/2024
972810^100000+86285691100001Robert Price09/2024
972910^100000+86585797100001Robert Price09/2024
973010^100000+86752083100001Robert Price09/2024
973110^100000+86757819100001Robert Price09/2024
973210^100000+87993829100001Robert Price09/2024
973310^100000+84342951100001Robert Price09/2024
973410^100000+84401949100001Robert Price09/2024
973510^100000+84940353100001Robert Price09/2024
973610^100000+85186807100001Robert Price09/2024
973710^100000+85416309100001Robert Price09/2024
973810^100000+85808731100001Robert Price09/2024
973910^100000+85882713100001Robert Price09/2024
974010^100000+85961491100001Robert Price09/2024
974112241#+10^100000+16907049100001Hayden Chesnut10/2024
974260251#+10^100000+16907049100001Hayden Chesnut10/2024


Find by discoverer :

Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 22 2024 15:56 (Time in France)

Go back
Valid XHTML 1.0!    Valid CSS!