PRP Records

Probable Primes Top 10000

(202632 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 (> 30000) Who ? When ?
57512^248866-17174917Lelio R Paula03/2012
57526*5^107168-774908Lelio R Paula10/2014
575311^71926+7874904Lelio R Paula02/2015
57542^248824+186939174904Enzo Doria05/2016
57552^248816+111174902Lelio R Paula01/2011
5756V(388219)74890Serge Batalov03/2015
57572*F(358297)-174880Henri Lifchitz12/2009
5758(22*10^74874-31)/974875Robert Price04/2015
575911^71892-7680000074868Enzo Doria01/2013
57609*5^107107-474866Lelio R Paula10/2014
57612^248678-71011174860Paul Bourdelais03/2013
5762(14*10^74858+211)/974859Robert Price11/2017
576313^67194+1274851Lelio R Paula01/2015
5764(7*2^248634+1)/7174846Lelio R Paula08/2012
576511^71867-309074842Enzo Doria12/2012
57662^248609+26214574839Lelio R Paula05/2013
57673^156852+5074838Lelio R Paula01/2015
576818^59607-1174824Lelio R Paula01/2015
57692^248556-11050774823Enzo Doria05/2014
57707^88531-3674818Lelio R Paula01/2015
5771p(15738)#/2+102474814Robert Price07/2017
57724*3^156740-574785Lelio R Paula05/2014
5773(32*10^74773-41)/974774Robert Price05/2015
5774(29*2^248384-1)/1374772Lelio R Paula01/2014
577519401!+19401#+174765D. Gazzoni Filho & Lucas Teixeira06/2005
57762^248357-1279741374763Enzo Doria03/2016
577742^46057+4174762Lelio R Paula07/2012
577811^71784-300074756Enzo Doria12/2012
577919^58458+1874754Lelio R Paula01/2015
578012^69265-3574750Lelio R Paula02/2015
578111^71771-4800074742Enzo Doria12/2012
5782(7*10^74741+197)/374742Robert Price07/2017
5783(2^248282-5)/5012974736Lelio R Paula06/2012
57842^248252-11010574732Enzo Doria04/2014
5785(7*10^74729+71)/374730Robert Price03/2016
57863^156614-5074724Lelio R Paula01/2015
5787(7*2^248213+1)/13574719Lelio R Paula07/2012
5788(2^248173+78557)/76774705Lelio R Paula07/2012
5789125^35622+12474697Norbert Schneider02/2015
5790(19*2^248099-1)/2974686Lelio R Paula01/2014
5791(86*10^74676-41)/974677Robert Price11/2015
5792(p(15711)#-4)/274672Robert Price09/2017
579310^74670+3174671Robert Price01/2011
579410^74670-12246374670Patrick De Geest05/2013
57952^248036-6974667Lelio R Paula03/2012
579611^71698-600074666Enzo Doria12/2012
579758*(10^(3*24887)-1)/111-174661Robert Price10/2014
579814^65139-4574658Lelio R Paula01/2015
57996^95921-13374642Lelio R Paula01/2015
580011^71675+7874642Lelio R Paula02/2015
580118^59449-9174625Lelio R Paula01/2015
58026^95864-1604374597Enzo Doria02/2013
58035*7^88261+674590Lelio R Paula10/2014
58049*5^106710+474589Lelio R Paula10/2014
5805(777*2^247788+1)/(11*754121)74588Jens K. Andersen09/2007
5806(265*10^74579+17)/374581Robert Price05/2016
5807(2^247759-1017)/331831171774574Lelio R Paula07/2012
58085^106682-2474568Lelio R Paula08/2014
5809474^27863+27863^47474556Norbert Schneider01/2017
5810(14*10^74540+79)/374541Robert Price11/2017
5811(35365^16384+1)/274524Lelio R Paula11/2011
58123^156161+266074508Lelio R Paula01/2015
58132^247474-5869574498Lelio R Paula05/2013
581411^71519-9074480Enzo Doria07/2012
5815(19*2^247419-1)/2320298374475Lelio R Paula01/2014
5817(2^247394-7)/374473Lelio R Paula06/2012
581618^59328+1774473Lelio R Paula01/2015
58182^247379-18174469Lelio R Paula03/2012
5819(15*2^247370-1)/47974465Lelio R Paula01/2014
58202^247344+204774458Lelio R Paula05/2013
58212^247311-101774449Lelio R Paula05/2013
58222^247280+774439Lelio R Paula03/2012
5823(68*10^74434+13)/974435Ray Chandler11/2010
58243^156004-6274433Lelio R Paula01/2015
582536095!2-6474416Robert Price06/2015
58262^247165-374405M. Frind & P. Underwood07/2002
58272^247150+3276974400Lelio R Paula05/2013
582812^68911+7374368Lelio R Paula01/2015
58292^246999+7490374355Enzo Doria04/2016
58302^246989-11064374352Enzo Doria05/2014
583110^74350+27943974351Patrick De Geest07/2017
5834(10^74350+11)/374350Robert Price11/2014
583210^74350-40000000174350Robert Price07/2017
583310^74350-71624174350Patrick De Geest07/2017
583510^74335+1365974336Patrick De Geest05/2013
583610^74335-5374335Robert Price05/2011
58372^246906-121574327Lelio R Paula05/2013
58382^246848+11174309Lelio R Paula03/2012
58396^95490-1844374306Enzo Doria03/2013
584018^59188-236974298Enzo Doria03/2013
5841(1363*2^246767+1)/(3*5*7*13^2*743)74281Jens K. Andersen09/2007
58422^246744+4075574278Lelio R Paula05/2013
5843(29*10^74276+91)/374277Robert Price03/2016
58446^95441+16374268Lelio R Paula01/2015
5845V(390863)74258Serge Batalov03/2015
584610^74254+9174255Robert Price03/2011
5848(19*10^74253-1)/974254Ray Chandler02/2012
584710^74254-13056974254Patrick De Geest05/2013
5849771^25718+25718^77174250Norbert Schneider10/2016
58502^246618+42774240Henri Lifchitz02/2005
585188*10^74234+374236Robert Price11/2016
58528*10^74234-4974235Robert Price04/2016
58532^246578+1228574228Lelio R Paula05/2013
5854(3^155569-5)/274225Lelio R Paula06/2012
585513^66628+4674220Lelio R Paula01/2015
58562^246476-1729574197Lelio R Paula05/2013
5857(61*10^74189-1)/374191Robert Price11/2017
5858(15185*2^246432-1)/1374187Lelio R Paula04/2015
58595*2^246413-374179Lelio R Paula05/2014
58602^246386-2863574170Lelio R Paula05/2013
58612^246334-11124574154Enzo Doria05/2014
58623*9^77708+7^77708-2*4^77708-374153Mike Oakes12/2010
586315^63045+8274147Lelio R Paula01/2015
586419255!+19255#+174140D. Gazzoni Filho & Lucas Teixeira06/2005
58652^246268-11050774135Enzo Doria05/2014
58663^155328+266074111Lelio R Paula01/2015
58672^246148-278624974098Enzo Doria03/2016
5868(16*10^74092-19)/374093Robert Price03/2016
58692^246115-11076774088Enzo Doria05/2014
58707^87666-6874087Lelio R Paula08/2014
587110^74079+114514191974080Marisa Kirisame03/2015
587210^74079+621974080Patrick De Geest03/2016
587310^74079-28270774079Patrick De Geest03/2016
5874129^35098+274078Lelio R Paula05/2013
58752^246025-11212374061Enzo Doria06/2014
5876(67*10^74045+17)/374047Robert Price02/2017
58772^245823+6683174001Marek Hubal02/2017
58785^105869+4274000Lelio R Paula08/2014
5879(21*2^245806+1)/63455573991Lelio R Paula08/2012
5880(22699*2^245762+1)/11973985Lelio R Paula06/2014
5881(3^155048-7)/26273975Lelio R Paula06/2012
58829998*2^245696+373966Donovan Johnson10/2004
588313^66400-8073966Lelio R Paula01/2015
5884(2^245704+9)/2573963Lelio R Paula07/2012
588611^71023-717073963Enzo Doria01/2013
58853*10^73962+1373963Robert Price08/2017
5887(31*2^245660-1)/11419573948Lelio R Paula01/2014
58882^245629-279781373942Eric Chen03/2016
58892^245557-15373921Lelio R Paula03/2012
5890(77*10^73917-59)/973918Robert Price11/2017
58912^245525+186988173911Enzo Doria06/2016
58922^245522+15973910Lelio R Paula03/2012
5893(13*10^73891-43)/373892Robert Price08/2017
589419^57783-5673891Lelio R Paula01/2015
58957*10^73888+7973889Robert Price02/2017
58966^94948+17428173884Mike Oakes02/2011
589711^70939-486073876Enzo Doria01/2013
58982^245372+5461573865Lelio R Paula05/2013
58992^245362-14373862Lelio R Paula03/2012
59007^87396+6^(87396-1)73859Robert Price03/2016
5901(22*10^73853-37)/373854Robert Price05/2017
59025^105646-1424673844Enzo Doria02/2013
59042^245290-4173840Lelio R Paula03/2012
59032^245290-9439573840Lelio R Paula05/2013
59058*5^105600-773813Lelio R Paula10/2014
59067*5^105573-473794Lelio R Paula10/2014
590718^58742-480573738Enzo Doria03/2013
590813^66179+6673720Lelio R Paula01/2015
5909(82*10^73714-1)/973715Robert Price12/2014
5910(29*2^244856-1)/18612173706Lelio R Paula01/2014
5911(13*2^244840-1)/279973702Lelio R Paula01/2014
5912(13*10^73701+17)/373702Robert Price06/2015
5913(2^244787-1017)/2841173684Lelio R Paula07/2012
5914(3^154421-4)/2373677Lelio R Paula06/2012
59158*7^87170+573669Lelio R Paula10/2014
5916(29*10^73659-113)/373660Robert Price11/2017
5917Phi(40100,-40100)73651Henri Lifchitz06/2013
5918(4*10^73647-19)/373648Robert Price06/2017
59192^244618-229773638Yves Minet10/2009
59203*5^105344+873633Lelio R Paula10/2014
59215^105334-1409673626Enzo Doria02/2013
5922(2^244584-7)/1323707424303373614Lelio R Paula07/2012
59232^244465-11018573592Enzo Doria05/2014
59242^244443+4075573585Lelio R Paula05/2013
59252^244404+384173573Yves Minet03/2011
59262^244372-11062773564Enzo Doria05/2014
5927(3*2^244255+1)/24573527Lelio R Paula08/2012
5928(11*2^244245+1)/2373525Lelio R Paula08/2012
5929(15185*2^244187-1)/611173509Lelio R Paula04/2015
5930(91^37507+1)/9273476Paul Bourdelais08/2017
593118^58521+6573460Lelio R Paula01/2015
593213^65940+3673454Lelio R Paula01/2015
5933(625^26267+1)/62673437Richard Fischer12/2017
59345^105050-1473427Lelio R Paula08/2014
5935(((((((((((((30201^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-273401Serge Batalov07/2016
593615^62410-4673400Lelio R Paula01/2015
59372^243733+186970773371Enzo Doria05/2016
593811^70439-543073355Enzo Doria01/2013
59392^243676-8773354Lelio R Paula03/2012
5940(101*10^73346-17)/373348Robert Price08/2016
59412^243621-11318573338Enzo Doria07/2014
5942(5*2^243610-1)/166973332Lelio R Paula01/2014
59432*5^104888-773314Lelio R Paula10/2014
5944(58695*2^243516-1)/98373308Lelio R Paula04/2015
5945(3^153648-2)/3342313809773299Lelio R Paula06/2012
594618^58376-525573278Enzo Doria03/2013
594711^70363+3273276Lelio R Paula02/2015
59482^243413+425773275Lelio R Paula05/2013
5949104824^5+5^10482473269Andrey Kulsha07/2010
59507^86689-6^8668973261Predrag Minovic09/2004
59512^243296+9019573240Lelio R Paula05/2013
5953p(15433)#/2-473218Robert Price12/2016
5952(59*10^73217-77)/973218Robert Price11/2017
59542^243127+7135573189Lelio R Paula05/2013
59552^243116-24941973186Paul Bourdelais03/2013
5956(58695*2^243085-1)/1173180Lelio R Paula04/2015
595711^70262-9873171Lelio R Paula02/2015
5958(2^243034+47)/72270330373152Lelio R Paula07/2012
5959(2^242966+47)/4688773136Lelio R Paula07/2012
5960(43^44773-1)/4273134Robert Price04/2014
59616^93980-15835973131Mike Oakes02/2011
59626^93915+5373081Lelio R Paula01/2015
5963(5*10^73079+211)/973079Robert Price12/2017
5964(74*10^73076+43)/973077Robert Price10/2015
5965(3^153125+2)/114495573054Lelio R Paula06/2012
59662^242632-11219973040Enzo Doria06/2014
5967V(351646)73029Serge Batalov03/2015
596818^58175-8573026Lelio R Paula01/2015
5969p(15395)#/2-473019Robert Price12/2016
5970(4^121271+3^121271)/773012Jean-Louis Charton03/2011
59718*6^93825-573011Lelio R Paula10/2014
5973(F(220)^1601-F(219)^1601)/F(218)73005Wayne Halsdorf08/2013
5972(73^39181+1)/7473005Paul Bourdelais08/2017
59746^93815+14373003Lelio R Paula01/2015
59756^93812+573000Wojciech Florek03/2006
597619^57078-6272989Lelio R Paula01/2015
5977(29*10^72985+91)/372986Robert Price03/2016
597811^70082-252072983Enzo Doria12/2012
59796^93773+13372970Lelio R Paula01/2015
59802^242328-5972948Lelio R Paula03/2012
59815^104358-1301672944Enzo Doria02/2013
5982(75*10^72941-57)/9972941Ray Chandler03/2011
598312^67585-9572937Lelio R Paula02/2015
59842^242230-11328572919Enzo Doria07/2014
5985(5*10^72916-11)/372917Erik Branger12/2013
59862^242220-11039972916Enzo Doria05/2014
59872^242205-11341372911Enzo Doria07/2014
5988(3^152809+3^76405+1)/772908Serge Batalov03/2014
59892^242175+7424372902Yves Minet03/2011
59902^242150+1765972895Lelio R Paula11/2009
599111^69982-234072879Enzo Doria12/2012
5992(23*2^242093+1)/1011772875Lelio R Paula08/2012
5993(67607*2^242043+1)/3326372863Lelio R Paula06/2014
59942^242032+8772859Lelio R Paula03/2012
59952^241968-11059572840Enzo Doria05/2014
5996(10^72821+71)/972821Robert Price11/2014
59972^241852-6487572805Lelio R Paula05/2013
5998F(348307)/2056289086590809372776Donovan Johnson07/2007
5999(67*10^72772+23)/972773Ray Chandler11/2010
6000(8*10^72759+67)/372760Robert Price01/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 20 2018 10:36 (Time in France)

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