PRP Records

Probable Primes Top 10000

(247113 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 (> 30000) Who ? When ?
62513^156852+5074838Lelio R Paula01/2015
625218^59607-1174824Lelio R Paula01/2015
62532^248556-11050774823Enzo Doria05/2014
62547^88531-3674818Lelio R Paula01/2015
6255p(15738)#/2+102474814Robert Price07/2017
62564*3^156740-574785Lelio R Paula05/2014
6257(32*10^74773-41)/974774Robert Price05/2015
6258(29*2^248384-1)/1374772Lelio R Paula01/2014
625919401!+19401#+174765D. Gazzoni Filho & Lucas Teixeira06/2005
62602^248357-1279741374763Enzo Doria03/2016
626142^46057+4174762Lelio R Paula07/2012
626211^71784-300074756Enzo Doria12/2012
626319^58458+1874754Lelio R Paula01/2015
626412^69265-3574750Lelio R Paula02/2015
626511^71771-4800074742Enzo Doria12/2012
6266(7*10^74741+197)/374742Robert Price07/2017
6267(2^248282-5)/5012974736Lelio R Paula06/2012
62682^248252-11010574732Enzo Doria04/2014
6269(7*10^74729+71)/374730Robert Price03/2016
62703^156614-5074724Lelio R Paula01/2015
6271(7*2^248213+1)/13574719Lelio R Paula07/2012
6272(2^248173+78557)/76774705Lelio R Paula07/2012
6273125^35622+12474697Norbert Schneider02/2015
6274(19*2^248099-1)/2974686Lelio R Paula01/2014
6275(86*10^74676-41)/974677Robert Price11/2015
6276(p(15711)#-4)/274672Robert Price09/2017
627710^74670+3174671Robert Price01/2011
627810^74670-12246374670Patrick De Geest05/2013
62792^248036-6974667Lelio R Paula03/2012
628011^71698-600074666Enzo Doria12/2012
628158*(10^(3*24887)-1)/111-174661Robert Price10/2014
628214^65139-4574658Lelio R Paula01/2015
62836^95921-13374642Lelio R Paula01/2015
628411^71675+7874642Lelio R Paula02/2015
628518^59449-9174625Lelio R Paula01/2015
62866^95864-1604374597Enzo Doria02/2013
62875*7^88261+674590Lelio R Paula10/2014
62889*5^106710+474589Lelio R Paula10/2014
6289(777*2^247788+1)/(11*754121)74588Jens K. Andersen09/2007
6290(265*10^74579+17)/374581Robert Price05/2016
6291(2^247759-1017)/331831171774574Lelio R Paula07/2012
62925^106682-2474568Lelio R Paula08/2014
6293474^27863+27863^47474556Norbert Schneider01/2017
6294(14*10^74540+79)/374541Robert Price11/2017
6295(35365^16384+1)/274524Lelio R Paula11/2011
62963^156161+266074508Lelio R Paula01/2015
62972^247474-5869574498Lelio R Paula05/2013
629811^71519-9074480Enzo Doria07/2012
6299(19*2^247419-1)/2320298374475Lelio R Paula01/2014
6301(2^247394-7)/374473Lelio R Paula06/2012
630018^59328+1774473Lelio R Paula01/2015
63022^247379-18174469Lelio R Paula03/2012
6303(15*2^247370-1)/47974465Lelio R Paula01/2014
63042^247344+204774458Lelio R Paula05/2013
63052^247311-101774449Lelio R Paula05/2013
63062^247280+774439Lelio R Paula03/2012
6307(68*10^74434+13)/974435Ray Chandler11/2010
63083^156004-6274433Lelio R Paula01/2015
630936095!2-6474416Robert Price06/2015
63102^247165-374405M. Frind & P. Underwood07/2002
63112^247150+3276974400Lelio R Paula05/2013
631212^68911+7374368Lelio R Paula01/2015
63132^246999+7490374355Enzo Doria04/2016
63142^246989-11064374352Enzo Doria05/2014
631510^74350+27943974351Patrick De Geest07/2017
6318(10^74350+11)/374350Robert Price11/2014
631610^74350-40000000174350Robert Price07/2017
631710^74350-71624174350Patrick De Geest07/2017
631910^74335+1365974336Patrick De Geest05/2013
632010^74335-5374335Robert Price05/2011
63212^246906-121574327Lelio R Paula05/2013
63222^246848+11174309Lelio R Paula03/2012
63236^95490-1844374306Enzo Doria03/2013
632418^59188-236974298Enzo Doria03/2013
6325(1363*2^246767+1)/(3*5*7*13^2*743)74281Jens K. Andersen09/2007
63262^246744+4075574278Lelio R Paula05/2013
6327(29*10^74276+91)/374277Robert Price03/2016
63286^95441+16374268Lelio R Paula01/2015
6329V(390863)74258Serge Batalov03/2015
633010^74254+9174255Robert Price03/2011
6332(19*10^74253-1)/974254Ray Chandler02/2012
633110^74254-13056974254Patrick De Geest05/2013
6333771^25718+25718^77174250Norbert Schneider10/2016
63342^246618+42774240Henri Lifchitz02/2005
633588*10^74234+374236Robert Price11/2016
63368*10^74234-4974235Robert Price04/2016
63372^246578+1228574228Lelio R Paula05/2013
6338(3^155569-5)/274225Lelio R Paula06/2012
633913^66628+4674220Lelio R Paula01/2015
63402^246476-1729574197Lelio R Paula05/2013
6341(61*10^74189-1)/374191Robert Price11/2017
6342(15185*2^246432-1)/1374187Lelio R Paula04/2015
63435*2^246413-374179Lelio R Paula05/2014
63442^246386-2863574170Lelio R Paula05/2013
63452^246334-11124574154Enzo Doria05/2014
63463*9^77708+7^77708-2*4^77708-374153Mike Oakes12/2010
634715^63045+8274147Lelio R Paula01/2015
634819255!+19255#+174140D. Gazzoni Filho & Lucas Teixeira06/2005
63492^246268-11050774135Enzo Doria05/2014
63503^155328+266074111Lelio R Paula01/2015
63512^246148-278624974098Enzo Doria03/2016
6352(16*10^74092-19)/374093Robert Price03/2016
63532^246115-11076774088Enzo Doria05/2014
63547^87666-6874087Lelio R Paula08/2014
635510^74079+114514191974080Marisa Kirisame03/2015
635610^74079+621974080Patrick De Geest03/2016
635710^74079-28270774079Patrick De Geest03/2016
6358129^35098+274078Lelio R Paula05/2013
63592^246025-11212374061Enzo Doria06/2014
6360(67*10^74045+17)/374047Robert Price02/2017
63612^245823+6683174001Marek Hubal02/2017
63625^105869+4274000Lelio R Paula08/2014
6363(21*2^245806+1)/63455573991Lelio R Paula08/2012
6364(22699*2^245762+1)/11973985Lelio R Paula06/2014
6365(3^155048-7)/26273975Lelio R Paula06/2012
63669998*2^245696+373966Donovan Johnson10/2004
636713^66400-8073966Lelio R Paula01/2015
6368(2^245704+9)/2573963Lelio R Paula07/2012
637011^71023-717073963Enzo Doria01/2013
63693*10^73962+1373963Robert Price08/2017
6371(31*2^245660-1)/11419573948Lelio R Paula01/2014
63722^245629-279781373942Eric Chen03/2016
63732^245557-15373921Lelio R Paula03/2012
6374(77*10^73917-59)/973918Robert Price11/2017
63752^245525+186988173911Enzo Doria06/2016
63762^245522+15973910Lelio R Paula03/2012
6377(13*10^73891-43)/373892Robert Price08/2017
637819^57783-5673891Lelio R Paula01/2015
63797*10^73888+7973889Robert Price02/2017
63806^94948+17428173884Mike Oakes02/2011
638111^70939-486073876Enzo Doria01/2013
63822^245372+5461573865Lelio R Paula05/2013
63832^245362-14373862Lelio R Paula03/2012
63847^87396+6^(87396-1)73859Robert Price03/2016
6385(22*10^73853-37)/373854Robert Price05/2017
63865^105646-1424673844Enzo Doria02/2013
63882^245290-4173840Lelio R Paula03/2012
63872^245290-9439573840Lelio R Paula05/2013
63898*5^105600-773813Lelio R Paula10/2014
63907*5^105573-473794Lelio R Paula10/2014
639118^58742-480573738Enzo Doria03/2013
639213^66179+6673720Lelio R Paula01/2015
6393(82*10^73714-1)/973715Robert Price12/2014
6394(29*2^244856-1)/18612173706Lelio R Paula01/2014
6395(13*2^244840-1)/279973702Lelio R Paula01/2014
6396(13*10^73701+17)/373702Robert Price06/2015
6397(2^244787-1017)/2841173684Lelio R Paula07/2012
6398(3^154421-4)/2373677Lelio R Paula06/2012
63998*7^87170+573669Lelio R Paula10/2014
6400(29*10^73659-113)/373660Robert Price11/2017
6401Phi(40100,-40100)73651Henri Lifchitz06/2013
6402(4*10^73647-19)/373648Robert Price06/2017
64032^244618-229773638Yves Minet10/2009
64043*5^105344+873633Lelio R Paula10/2014
64055^105334-1409673626Enzo Doria02/2013
6406(2^244584-7)/1323707424303373614Lelio R Paula07/2012
64072^244465-11018573592Enzo Doria05/2014
64082^244443+4075573585Lelio R Paula05/2013
64092^244404+384173573Yves Minet03/2011
64102^244372-11062773564Enzo Doria05/2014
6411(3*2^244255+1)/24573527Lelio R Paula08/2012
6412(11*2^244245+1)/2373525Lelio R Paula08/2012
6413(15185*2^244187-1)/611173509Lelio R Paula04/2015
6414(91^37507+1)/9273476Paul Bourdelais08/2017
641518^58521+6573460Lelio R Paula01/2015
641613^65940+3673454Lelio R Paula01/2015
6417(625^26267+1)/62673437Richard Fischer12/2017
64185^105050-1473427Lelio R Paula08/2014
6419(((((((((((((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
642015^62410-4673400Lelio R Paula01/2015
64212^243733+186970773371Enzo Doria05/2016
642211^70439-543073355Enzo Doria01/2013
64232^243676-8773354Lelio R Paula03/2012
6424(101*10^73346-17)/373348Robert Price08/2016
64252^243621-11318573338Enzo Doria07/2014
6426(5*2^243610-1)/166973332Lelio R Paula01/2014
64272*5^104888-773314Lelio R Paula10/2014
6428(58695*2^243516-1)/98373308Lelio R Paula04/2015
6429(3^153648-2)/3342313809773299Lelio R Paula06/2012
643018^58376-525573278Enzo Doria03/2013
643111^70363+3273276Lelio R Paula02/2015
64322^243413+425773275Lelio R Paula05/2013
6433104824^5+5^10482473269Andrey Kulsha07/2010
64347^86689-6^8668973261Predrag Minovic09/2004
64352^243296+9019573240Lelio R Paula05/2013
6437p(15433)#/2-473218Robert Price12/2016
6436(59*10^73217-77)/973218Robert Price11/2017
64382^243127+7135573189Lelio R Paula05/2013
64392^243116-24941973186Paul Bourdelais03/2013
6440(58695*2^243085-1)/1173180Lelio R Paula04/2015
644111^70262-9873171Lelio R Paula02/2015
6442(2^243034+47)/72270330373152Lelio R Paula07/2012
6443(2^242966+47)/4688773136Lelio R Paula07/2012
6444(43^44773-1)/4273134Robert Price04/2014
64456^93980-15835973131Mike Oakes02/2011
64466^93915+5373081Lelio R Paula01/2015
6447(5*10^73079+211)/973079Robert Price12/2017
6448(74*10^73076+43)/973077Robert Price10/2015
6449(3^153125+2)/114495573054Lelio R Paula06/2012
64502^242632-11219973040Enzo Doria06/2014
6451V(351646)73029Serge Batalov03/2015
645218^58175-8573026Lelio R Paula01/2015
6453p(15395)#/2-473019Robert Price12/2016
6454(4^121271+3^121271)/773012Jean-Louis Charton03/2011
64558*6^93825-573011Lelio R Paula10/2014
6457(F(220)^1601-F(219)^1601)/F(218)73005Wayne Halsdorf08/2013
6456(73^39181+1)/7473005Paul Bourdelais08/2017
64586^93815+14373003Lelio R Paula01/2015
64596^93812+573000Wojciech Florek03/2006
646019^57078-6272989Lelio R Paula01/2015
6461(29*10^72985+91)/372986Robert Price03/2016
646211^70082-252072983Enzo Doria12/2012
64636^93773+13372970Lelio R Paula01/2015
64642^242328-5972948Lelio R Paula03/2012
64655^104358-1301672944Enzo Doria02/2013
6466(75*10^72941-57)/9972941Ray Chandler03/2011
646712^67585-9572937Lelio R Paula02/2015
64682^242230-11328572919Enzo Doria07/2014
6469(5*10^72916-11)/372917Erik Branger12/2013
64702^242220-11039972916Enzo Doria05/2014
64712^242205-11341372911Enzo Doria07/2014
6472(3^152809+3^76405+1)/772908Serge Batalov03/2014
64732^242175+7424372902Yves Minet03/2011
64742^242150+1765972895Lelio R Paula11/2009
647511^69982-234072879Enzo Doria12/2012
6476(23*2^242093+1)/1011772875Lelio R Paula08/2012
6477(67607*2^242043+1)/3326372863Lelio R Paula06/2014
64782^242032+8772859Lelio R Paula03/2012
64792^241968-11059572840Enzo Doria05/2014
6480(10^72821+71)/972821Robert Price11/2014
64812^241852-6487572805Lelio R Paula05/2013
6482F(348307)/2056289086590809372776Donovan Johnson07/2007
6483(67*10^72772+23)/972773Ray Chandler11/2010
6484(8*10^72759+67)/372760Robert Price01/2017
64852^241670+14572750Lelio R Paula03/2012
64865^104074+5272745Lelio R Paula08/2014
6487(3^152466-5)/72472742Lelio R Paula06/2012
648820^55908-4172738Lelio R Paula01/2015
6489(73*10^72735+53)/972736Robert Price10/2015
649010^72730+22401172731Patrick De Geest05/2013
649110^72730-9972730Robert Price05/2011
64923*10^72723+6772724Robert Price11/2017
6493(11^69833+3^69833)/1472723Robert Price03/2013
6494(10^72723-79)/372723Robert Price10/2017
6495(88*10^72711-43)/972712Robert Price11/2015
64963^152379+28072704Lelio R Paula01/2015
6497(25*10^72703-241)/972704Robert Price01/2017
6498(47*10^72696+133)/972697Robert Price04/2017
649917^59077-9072692Lelio R Paula01/2015
650065^40096+5872691Lelio R Paula01/2016


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: December, 11 2018 05:54 (Time in France)

Go back
Valid XHTML 1.0!    Valid CSS!