PRP Records

Probable Primes Top 10000

(224660 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 ?
25012^369224-291839111148Enzo Doria07/2015
25022^369216+2798881111146Enzo Doria04/2016
250310^111111+163849111112Patrick De Geest03/2017
250410^111111-312911111111Patrick De Geest03/2017
25052^369092-216923111108Enzo Doria05/2014
25062^369081-55111105Lelio R Paula02/2013
250788^57124-87111077Norbert Schneider11/2015
25082^368980+753111075Lelio R Paula05/2013
25092^368946-3623111064Yves Minet03/2017
25102^368929+29835111059Lelio R Paula05/2017
25114^184463-3^184463111058Jean-Louis Charton12/2004
2512111^54298+110111057Norbert Schneider04/2017
2513(4*10^111032-7)/3111033Ray Chandler04/2011
25142^368641-460303110972Enzo Doria06/2015
25152^368619-109087110966Enzo Doria04/2014
25163*2^368489+7110927Lelio R Paula09/2014
251797411!4-2110913Robert Price07/2017
2518(9179*2^368330-1)/35110881Lelio R Paula05/2015
2519(34*10^110882-7)/9/13/29/1019374319110871Makoto Morimoto05/2016
25202^368050-64875110795Lelio R Paula05/2017
25212^368048+25110794Lelio R Paula02/2013
252269^60239-2110771Lelio R Paula10/2013
2523(23*2^367952+1)/15717110762Lelio R Paula03/2014
25242^367924-69110757Lelio R Paula02/2013
25252^367709-109723110692Enzo Doria04/2014
2526(3*2^367644-1)/107110671Lelio R Paula03/2014
2527(23*2^367398+1)/57963110595Lelio R Paula03/2014
25282^367215+1879223110543Enzo Doria09/2016
25292^367141+41110521Lelio R Paula02/2013
25302^367126+29835110516Lelio R Paula05/2017
2531(11*10^110496+49)/3110497Robert Price07/2018
2532(31*2^366976+1)/7110472Lelio R Paula03/2014
25332^366853+5711110434Lelio R Paula05/2017
2534(21181*2^366833+1)/3110432Lelio R Paula07/2014
25352^366816+315110423Lelio R Paula05/2017
25362^366775-2787037110411Enzo Doria03/2016
2537(112*10^110405-1)/3110407Serge Batalov12/2014
25382^366751+2797553110404Enzo Doria03/2016
25392^366748+255110403Lelio R Paula05/2017
25402^366738-2985110400Yves Minet09/2014
2541(23*2^366739+1)/74575110396Lelio R Paula03/2014
25422^366716+1871791110393Enzo Doria05/2016
25432^366649+1871687110373Enzo Doria05/2016
25442^366629-351205110367Enzo Doria06/2015
25452^366558+1874479110345Enzo Doria06/2016
254618^87853-4409110280Enzo Doria03/2013
25472^366218-23110243Lelio R Paula02/2013
2548(21*2^366193-1)/197110235Lelio R Paula03/2014
25492^366178-343991110231Enzo Doria07/2015
25502^365944+1871341110161Enzo Doria05/2016
25512^365838-461267110129Enzo Doria07/2015
25522^365763-6555110106Lelio R Paula04/2017
2553(2^365689+2^182845+1)/511008311/2006
25542^365666-459161110077Enzo Doria05/2015
25553*10^110076-7110077Robert Price08/2015
255613^98785-72110041Lelio R Paula03/2017
2557(25^78707+1)/26110027Robert Price06/2013
2558(7*10^110006-151)/9110006Robert Price02/2018
25596^141361-7110001Lelio R Paula11/2014
256020^84536+81109984Lelio R Paula03/2017
25615*2^365347-9109982Lelio R Paula09/2014
25629*6^141303+7109957Lelio R Paula11/2014
256378^58099+77109929Norbert Schneider02/2015
25642*10^109928-7109929Robert Price10/2015
2565(27*2^365137-1)/2021109916Lelio R Paula03/2014
2566(4441*29^75152-24)/7109905Curtis Bright05/2015
2567(2^365087+7)/6015109899Lelio R Paula01/2014
256818^87533-11109878Lelio R Paula04/2017
25692^364982-5109871Henri Lifchitz04/2006
25703*10^109861+59109862Robert Price08/2018
25712^364936-1867979109857Enzo Doria04/2016
25722^364867-112087109836Enzo Doria06/2014
25734^182415-85061109825Mike Oakes06/2011
2574(17^89227+16^89227)/33109788Robert Price08/2013
25752^364687-187109782Lelio R Paula01/2012
25762^364644+67109769Lelio R Paula01/2012
2577(9787*2^364625-1)/24947109763Lelio R Paula05/2015
2578(2^364616+5)/9109760Lelio R Paula01/2014
257912^101694+73109747Lelio R Paula03/2017
258013^98518-66109744Lelio R Paula03/2017
25822^364478-113261109719Enzo Doria07/2014
2581(2^364513+1)/(3*44290516579)109719Gord Palameta08/2018
2583(24737*2^364454+1)/3109716Lelio R Paula07/2014
2584(62*10^109673+1)/9109674Serge Batalov11/2010
25853^229824+340109654Lelio R Paula03/2017
2586(2*10^109645-71)/3109645Robert Price12/2017
25872^364169-112813109626Enzo Doria06/2014
258810^109615+21109616Lelio R Paula03/2017
258910^109615-456267109615Patrick De Geest03/2017
25902^364094-113109604Lelio R Paula01/2012
2591(4^182026+11)/3109591Robert Price02/2017
25922^364041-6883109588Lelio R Paula09/2011
259312^101545+11109586Lelio R Paula03/2017
25942^363842-2787101109528Enzo Doria03/2016
2595(22699*2^363782+1)/763109511Lelio R Paula07/2014
25962^363769+5711109506Lelio R Paula04/2017
2597(31*2^363748+1)/49109499Lelio R Paula03/2014
2598p(22245)#/2-8109462Robert Price01/2017
25992^363556+55109442Lelio R Paula01/2012
2600(55459*2^363411+1)/81109401Lelio R Paula07/2014
26012^363406+1871569109397Enzo Doria05/2016
2602(2^363349+7)/9109378Lelio R Paula01/2014
26033^229236+100109374Lelio R Paula03/2017
26042^363268-58695109355Lelio R Paula04/2017
26052^363191-112321109332Enzo Doria06/2014
26062^363120+3109311Donovan Johnson04/2006
2607(10^109297-1)/9109297Paul Bourdelais, Harvey Dubner04/2007
26082^363042-114641109287Enzo Doria04/2015
26092^363020-112793109280Enzo Doria06/2014
2610(67607*2^362695+1)/70499109183Lelio R Paula07/2014
2611(9*2^362644+1)/5109167Lelio R Paula03/2014
26125^156181+38109166Lelio R Paula02/2017
26134*10^109142+91109143Robert Price08/2018
26143^228750+68109142Lelio R Paula03/2017
2615(10223*2^362376+1)/9109090Lelio R Paula07/2014
261665^60167-64^60167109078Robert Price08/2013
26177*3^228589-2109066Lelio R Paula09/2014
2618(78557*2^362188+1)/189109033Lelio R Paula07/2014
26192*7^129008+9109025Lelio R Paula11/2014
2620(5*10^108960+91)/3108961Robert Price04/2018
26212^361957+76367108960Enzo Doria05/2016
26222^361873-1411108935Yves Minet01/2013
2623(24737*2^361857+1)/35108933Lelio R Paula07/2014
2624115^52842-114108892Norbert Schneider07/2018
262513^97745-24108883Lelio R Paula03/2017
262617^88475+8108864Lelio R Paula04/2017
26272^361567+51108843Lelio R Paula01/2012
26282^361563-109501108842Enzo Doria04/2014
262912^100852+83108838Lelio R Paula03/2017
26302^361497+767108822Lelio R Paula01/2012
26312^361280-112349108757Enzo Doria06/2014
26322^361271-5955108754Lelio R Paula04/2017
263312^100757+19108736Lelio R Paula03/2017
263414^94849-61108710Lelio R Paula05/2017
2635(19^85009-5^85009)/14108705Robert Price07/2013
2636(11*2^361027+1)/40463108677Lelio R Paula03/2014
26372^360973+1299108664Lelio R Paula04/2017
26382^360959-109101108660Enzo Doria04/2014
26396*5^155454+7108659Lelio R Paula11/2014
264010^108656+79108657Lelio R Paula02/2017
264110^108656-50001108656Patrick De Geest03/2017
26422^360918-35108648Lelio R Paula01/2012
2643(11*2^360886-1)/7108638Lelio R Paula03/2014
26443*10^108624-49108625Robert Price07/2018
26452^360706-458903108584Enzo Doria04/2015
26462^360641-113185108564Enzo Doria07/2014
26472^360618+75019108557Enzo Doria04/2016
2648(14*10^108545-221)/9108546Robert Price04/2018
26493*5^155286+2108541Lelio R Paula11/2014
26507^128422+4108530Lelio R Paula11/2014
26517^128421-80108529Lelio R Paula03/2017
26522^360497+53807108521Yves Minet07/2010
26532^360366+1459108481Lelio R Paula09/2011
26542^360364-1499108481Yves Minet05/2013
265514^94642-23108472Lelio R Paula05/2017
26564*10^108412+9108413Robert Price05/2015
26572^360093-351103108399Enzo Doria06/2015
26582^360042+723108384Lelio R Paula01/2012
265985^56164-2108364Lelio R Paula10/2013
26602^359937-29323108352Enzo Doria07/2015
26612^359898-19997108341Enzo Doria06/2013
26622*5^154948-7108305Lelio R Paula11/2014
266310^108303+13108304Lelio R Paula02/2017
266410^108303-207959108303Patrick De Geest03/2017
26652^359730+753108290Lelio R Paula12/2011
2666(8*10^108273+13)/3108274Robert Price06/2018
26672^359650-19797108266Enzo Doria06/2013
266891^55259-90^55259108255Robert Price07/2015
26693^226845+68108233Lelio R Paula03/2017
26705^154822-12866108216Enzo Doria05/2014
2671(9*2^359480+1)/5108215Lelio R Paula03/2014
26722^359454-177108207Lelio R Paula12/2011
26736^139022-59108181Lelio R Paula02/2017
26742^359352-179108176Lelio R Paula12/2011
26752^359338-1858781108172Enzo Doria04/2016
267612^100230-97108167Lelio R Paula03/2017
2677(25*2^359297-1)/137108159Lelio R Paula03/2014
2678(2^359262-509203)/9108148Lelio R Paula12/2013
2679(3^226648-8)/352715633108131Lelio R Paula12/2013
26806^138956-59108129Lelio R Paula02/2017
26812^359184+30285108126Lelio R Paula04/2017
268213^97059+10108119Lelio R Paula03/2017
26832^359137-81108112Lelio R Paula12/2011
2685(15185*2^359105-1)/567108103Lelio R Paula05/2015
26842^359110-11655108103Lelio R Paula04/2017
26868*6^138875+5108067Lelio R Paula11/2014
26872^358987-216919108066Enzo Doria05/2014
268839^67918-67918^39108062Norbert Schneider02/2017
26892^358785-16933108006Enzo Doria05/2013
2690(2^358783+5)/33383108000Lelio R Paula12/2013
26916^138770-77107985Lelio R Paula02/2017
2692(2^358727-1017)/94178479107980Lelio R Paula12/2013
269310^107976+19107977Lelio R Paula02/2017
269410^107976-202103107976Patrick De Geest03/2017
26952^358684+75781107975Enzo Doria04/2016
269699^54094+2107952Lelio R Paula06/2013
2697(2^358583-9)/391107942Lelio R Paula12/2013
26982^358538+55107931Lelio R Paula12/2011
26992^358517-109009107925Enzo Doria03/2014
27003^226159+104107906Lelio R Paula03/2017
27012^358310-11655107863Lelio R Paula03/2017
27022^358275-112987107852Enzo Doria07/2014
27032^358233-20005107839Enzo Doria06/2013
27042^358194+175107828Lelio R Paula12/2011
2705107^53125-106107812Norbert Schneider12/2016
27063^225922-2107793Lelio R Paula10/2013
270712^99874-95107783Lelio R Paula03/2017
27082^358030-171107778Lelio R Paula12/2011
270911^103488-4170107772Enzo Doria12/2012
27102^357911-20089107742Enzo Doria06/2013
27112^357885+12857107735Yves Minet07/2010
27127^127473+40107728Lelio R Paula03/2017
27135*2^357850+9107725Lelio R Paula09/2014
27142^357786-291191107705Enzo Doria06/2015
271518^85798-23107700Lelio R Paula04/2017
27162^357688-1854269107675Enzo Doria09/2015
27172^357671-112225107670Enzo Doria06/2014
27182^357618-21005107654Enzo Doria06/2013
27192^357615-17505107653Enzo Doria05/2013
2720(30^72871-1)/29107638Robert Price12/2011
27212^357521+1870217107625Enzo Doria05/2016
27222^357477-1203107612Lelio R Paula03/2017
27235^153894-18107568Lelio R Paula02/2017
27242^357324-69059107566Enzo Doria11/2015
27252^357283-869688105107553Lelio R Paula01/2017
27262^357280-16805107552Enzo Doria05/2013
272710^107547+481719107548Patrick De Geest03/2017
272810^107547-47107547Lelio R Paula02/2017
272917^87396-32107537Lelio R Paula04/2017
27302^357081+107107493Lelio R Paula12/2011
27312^357058-3911107486Yves Minet04/2017
27323^225274+64107484Lelio R Paula03/2017
273318^85619-95107476Lelio R Paula04/2017
27343^225248-130107471Lelio R Paula03/2017
2735(5*2^356961+1)/143107455Lelio R Paula03/2014
27362^356935-18085107449Enzo Doria05/2013
273710^107409+37107410Lelio R Paula02/2017
273810^107409-329633107409Patrick De Geest03/2017
27392^356787-109027107404Enzo Doria04/2014
2740(2^356767+78557)/5107397Lelio R Paula12/2013
27413*10^107389+77107390Robert Price09/2018
27425^153622-42107378Lelio R Paula02/2017
27432^356699-97305107378Lelio R Paula03/2017
27442^356654+85107364Lelio R Paula11/2011
27452^356641-19921107360Enzo Doria06/2013
27462^356623-465107355Lelio R Paula03/2017
274719^83945-92107345Lelio R Paula02/2017
274810^107334+28149107335Patrick De Geest03/2017
274910^107334-83107334Lelio R Paula02/2017
27502^356518+885107323Lelio R Paula03/2017


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 15 2018 21:33 (Time in France)

Go back
Valid XHTML 1.0!    Valid CSS!