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 ?
1251(6^196337+1)/7152780Paul Bourdelais02/2010
12522^506451-22339152457Enzo Doria07/2013
12532^505995-113185152320Enzo Doria07/2014
1254578^55117-577^55117152230Jean-Louis Charton08/2012
12552^505431-505431152150Henri Lifchitz04/2005
12562^505053+73097152037Enzo Doria04/2016
1257(2^504793-7)/46765151954Lelio R Paula12/2017
1258350377#+797581151937Nicolas PALAU08/2017
12592^504618-343991151906Enzo Doria07/2015
12602^504212-461939151783Enzo Doria07/2015
12612^504054-2231151736Yves Minet10/2011
12622^503361-39883151527Enzo Doria09/2015
12632^503225+382667151486Enzo Doria10/2016
12642^502769+1877567151349Enzo Doria08/2016
12652^502576-4019151291Yves Minet10/2011
12662^502290-2792501151205Enzo Doria02/2016
12672^502181+1868417151172Enzo Doria04/2016
12682^501781-1850503151052Enzo Doria08/2015
12692^501627-991151005Yves Minet02/2014
12702^501577-115333150990Enzo Doria07/2015
12718*10^150975+3150976Robert Price08/2015
12722^501512-113669150971Enzo Doria09/2014
1273(12^139739+1)/13150803Paul Bourdelais09/2011
1274(31^101111-1)/30150792Alexander Zhirkov11/2010
12752^500899-500899150786Henri Lifchitz04/2005
12762^500832+1876801150766Enzo Doria07/2016
12772^500699+1884953150726Enzo Doria02/2017
1278(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
12792^500337-71101150617Enzo Doria04/2016
12802^500160+80071150564Enzo Doria06/2016
1281(2^500120+5)/9150551Lelio R Paula12/2017
1283(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1282(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
12842^499861-29503150474Enzo Doria08/2015
12852^499653-113533150411Enzo Doria08/2014
12862^499534-221150375Yves Minet06/2012
12872^499225+49727150282Enzo Doria09/2016
12882^499054-29261150231Enzo Doria07/2015
1289(2^498898-7)/9150183Lelio R Paula10/2015
12902^498623+1866983150101Enzo Doria03/2016
1291numbpart(18140942830)150033Serge Batalov04/2017
129210^150029+4381150030Patrick De Geest05/2016
129310^150029-41150029Serge Batalov12/2014
12942^498238-53149985Lelio R Paula12/2017
12952^497850+81049149868Enzo Doria07/2016
1296(5*2^497673+1)/2743149812Lelio R Paula10/2015
1297(5*2^497671+1)/373703149810Lelio R Paula10/2015
12982^497434-2784191149743Enzo Doria10/2015
12992^497068-113579149633Enzo Doria08/2014
13002^497037+73727149624Enzo Doria04/2016
13012^496773+77747149544Enzo Doria05/2016
13022^496477-113485149455Enzo Doria08/2014
13032^496270-49451149393Enzo Doria10/2015
13042^496238-1865081149383Enzo Doria01/2016
13052^495968-1853699149302Enzo Doria09/2015
13062^495712-396765149225Enzo Doria07/2013
1307(21*2^495676-1)/4835149211Lelio R Paula10/2015
13082^495420+1880701149137Enzo Doria10/2016
13092^495337-1847293149112Enzo Doria07/2015
1310(2^495193-7)/5149068Lelio R Paula10/2015
1311413^56963-412^56963149013Jean-Louis Charton08/2012
131247^89113-46^89113149006Robert Price10/2012
13132^494916+87855148985Lelio R Paula01/2016
13142^494586-2791991148886Enzo Doria02/2016
13158*10^148860-3148861Ray Chandler04/2011
13162^494333-286183148810Enzo Doria06/2015
13172^494144-264119148753Enzo Doria05/2014
1318(5*2^493838-1)/3721148658Lelio R Paula10/2015
1319(23*2^493761-1)/555148636Lelio R Paula10/2015
13202^493636+82081148600Enzo Doria09/2016
1321((((((((((((((34251^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2148593Serge Batalov07/2016
1322177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1323(8*10^148328+1)/9148328Serge Batalov05/2010
13245^211959-12874148153Enzo Doria05/2014
1325187^65175-2148068Lelio R Paula11/2017
13262^491851+1871453148062Enzo Doria05/2016
13272^491521-1865323147963Enzo Doria02/2016
1328(2^491476+7)/71147948Lelio R Paula10/2015
13292^491391-7807147924Lelio R Paula01/2013
13302^491370-113297147918Enzo Doria07/2014
1331(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
13322^490660-17147704Lelio R Paula12/2017
13332^490550+1179439147671Enzo Doria06/2016
13342^490303+2793653147596Enzo Doria03/2016
1335199^64181-2147543Lelio R Paula11/2017
13362^489871-286987147466Enzo Doria07/2015
13372^489864-351899147464Enzo Doria07/2015
1338175^65724-2147422Lelio R Paula11/2017
13392^489712+1874851147419Enzo Doria06/2016
134063^81896-2147359Lelio R Paula10/2017
13412^489305-59815147296Enzo Doria10/2015
1342(2^489280-7)/6381147285Lelio R Paula09/2015
13432^489125+80357147242Enzo Doria06/2016
13442^488648-112799147098Enzo Doria07/2014
13452^488627-350317147092Enzo Doria06/2015
1346(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
13472^488280-2165146987Yves Minet07/2014
13482^488278+45146987Lelio R Paula12/2017
13492^487927-39146881Lelio R Paula12/2017
13502^487726-1863341146821Enzo Doria12/2015
13512^487121-39523146639Enzo Doria09/2015
1352(7*2^486967+1)/39146591Lelio R Paula09/2015
13532^486893-79146570Yves Minet09/2017
13542^486840+1879141146554Enzo Doria08/2016
13552^486774-87146534Lelio R Paula12/2017
135696^73877-95^73877146445Robert Price10/2015
1357(52^85259+1)/53146304Paul Bourdelais09/2017
1358179^64935+2146290Lelio R Paula10/2017
13592^485531-114621146160Enzo Doria05/2015
1360(2^485461-9)/4249146135Lelio R Paula09/2015
13612^485389+81887146117Enzo Doria08/2016
1362(10^146063+71)/9146063Serge Batalov07/2015
1363(2^485119+7)/2745146032Lelio R Paula09/2015
13642^484743+1872923145923Enzo Doria05/2016
13652^484341+1879157145802Enzo Doria08/2016
13662^484271-51145781Lelio R Paula11/2017
136770^78989-69^78989145743Robert Price01/2014
136851^85334+2145714Robert Price07/2015
13692^483886-1857101145665Enzo Doria10/2015
13702^483563-1863457145567Enzo Doria12/2015
13712^483516-1861409145553Enzo Doria11/2015
13722^483384-115019145514Enzo Doria06/2015
13732^483302-3221145489Lelio R Paula12/2012
13742^483046+1874029145412Enzo Doria06/2016
13752^482991-2789317145395Enzo Doria12/2015
13762^482978-2789711145391Enzo Doria12/2015
13772^482966-2789711145388Enzo Doria12/2015
13782^482817-1858843145343Enzo Doria10/2015
13792^482751-113635145323Enzo Doria08/2014
13802^482705-459763145309Enzo Doria05/2015
1381(4^241306+11)/3145281Robert Price03/2017
1382(19*2^482534+1)/7145258Lelio R Paula09/2015
138353^84239-52^84239145252Robert Price01/2013
1384(2^482333+5)/9287145193Lelio R Paula09/2015
13852^482087+72623145123Enzo Doria04/2016
13862^482016-286565145102Enzo Doria07/2015
13872^481840+15145049Robert Price09/2015
13882^481801-481801145037Henri Lifchitz03/2005
13892^481775+1869083145029Enzo Doria05/2016
139029^99167+2145022Ray Chandler08/2011
13912^481663+1875653144996Enzo Doria07/2016
13922^481149-459073144841Enzo Doria05/2015
13932^481045-113215144809Enzo Doria07/2014
13942^480859-113695144753Enzo Doria09/2014
13952^480766-2787191144725Enzo Doria11/2015
1396(21*27^101106-151)/26144720Curtis Bright05/2015
13972^480678+1874239144699Enzo Doria06/2016
1398(8*10^144683+1)/9144683Serge Batalov05/2010
1399L(692147)144651Henri Lifchitz10/2008
14002^480417+35144620Robert Price11/2015
14012^480296-59879144584Enzo Doria10/2015
14022^479844+3144448Donovan Johnson06/2006
1403(27*2^479642+1)/733144386Lelio R Paula08/2015
1404(21*2^479605-1)/11144376Lelio R Paula09/2015
14052^479348-2792219144299Enzo Doria02/2016
14063^302389-6242144277Enzo Doria05/2014
14072*10^144220-3144221Robert Price07/2015
14082^478904-109109144165Enzo Doria04/2014
14092^478337-115333143994Enzo Doria07/2015
1410(7*2^478330-1)/3143993Lelio R Paula08/2015
141188^74047-87^74047143984Robert Price05/2015
1412(19*10^143963+467)/9143964Robert Price02/2018
1413(71^77761+1)/72143954Paul Bourdelais09/2017
14142^478088+27143919Robert Price11/2015
14152^477475-22071143735Enzo Doria07/2013
14162^477417-22123143717Enzo Doria07/2013
14172^477359-3577143700Yves Minet03/2017
14182^476936-396765143573Enzo Doria07/2013
14192^476888-2791229143558Enzo Doria01/2016
14202^476868-1859939143552Enzo Doria11/2015
14212^476558-113627143459Enzo Doria08/2014
14222^476478-45143435Lelio R Paula11/2017
1423(2^475854+9)/73143245Lelio R Paula08/2015
14242^475813-113239143234Enzo Doria07/2014
14252^475624-114059143178Enzo Doria11/2014
1426(11*2^475553-7)/15143156Renaud Lifchitz03/2011
14272^475480-2786129143134Enzo Doria10/2015
14282^475299-111937143080Enzo Doria05/2014
14292^475160-2797859143038Enzo Doria04/2016
1430(2^475069+3)/395143008Lelio R Paula08/2015
14312^475027-461437142998Enzo Doria07/2015
1432(2^474958+78557)/3142977Lelio R Paula07/2015
1433(54^82471-1)/53142871Paul Bourdelais09/2017
1434(11*2^474432-1)/95142818Lelio R Paula09/2015
14352^474417-59923142814Enzo Doria10/2015
1436(3*2^474166+1)/7142738Lelio R Paula08/2015
14372^474053+2897142705Lelio R Paula08/2012
1438(10^142699+359)/9142699Serge Batalov12/2014
1439898^48311-897^48311142676Jean-Louis Charton12/2012
14402^473740-1856639142610Enzo Doria09/2015
14412^473617-114223142573Enzo Doria12/2014
14422^473257+1873217142465Enzo Doria06/2016
1443(19*2^473242+1)/11142461Lelio R Paula09/2015
1444(10^142425+359)/9142425Serge Batalov12/2014
14452^473101+773027142418Enzo Doria05/2016
1446(13*2^472838-1)/3142340Lelio R Paula09/2015
1447(17*2^472789-1)/187347142320Lelio R Paula09/2015
14482^472634-109511142278Enzo Doria04/2014
1449(48^84589+1)/49142213Robert Price01/2014
14502^472258+7142164Lelio R Paula08/2015
1451tau(317^10330)142098Nik Lygeros / Olivier Rozier / LR team10/2013
1452(11*2^471913-1)/21142060Lelio R Paula09/2015
14532^471792+1880881142024Enzo Doria11/2016
1454(31*2^471580-1)/135141960Lelio R Paula08/2015
1455(4*10^141926-79)/3141927Robert Price02/2018
1456(904*19^110984-1)/3141924Curtis Bright05/2015
14574*5^202913-9141831Lelio R Paula04/2015
14582*7^167812-3141818Lelio R Paula12/2014
14592^471043+35141799Robert Price11/2015
1460(11*2^470956-1)/7945141770Lelio R Paula08/2015
14612^470692+76771141693Enzo Doria05/2016
1462(21*2^470391+1)/533141601Lelio R Paula09/2015
14632^470305-459373141576Enzo Doria05/2015
14642^470183+72623141540Enzo Doria04/2016
14652^470173-16465141537Enzo Doria04/2013
14662^469974-1841141477Enzo Doria05/2014
1467(23*2^469939+1)/25141466Lelio R Paula08/2015
14682^469824+43141432Lelio R Paula09/2017
14692^469630-59711141373Enzo Doria10/2015
1470(2^469564-3)/611141351Lelio R Paula08/2015
1471197^61601+2141342Lelio R Paula08/2017
14722^469372-112949141296Enzo Doria07/2014
1473143^(2^16)+106^(2^16)141253Valeryi Kuryshev02/2011
14742^469198+782569141243Enzo Doria10/2016
14752^469076-2786939141206Enzo Doria11/2015
14762^468804+1874941141125Enzo Doria06/2016
14772^468787+81353141119Enzo Doria08/2016
14782^468595-350407141062Enzo Doria06/2015
14792^468564+87855141052Lelio R Paula01/2016
14802^468551-21987141048Enzo Doria07/2013
14812^468523-7141040Lelio R Paula08/2015
14822^468405+87855141004Lelio R Paula01/2016
14832^467978-113051140876Enzo Doria07/2014
14842^467780-344429140816Enzo Doria07/2015
14852^467605-1855603140764Enzo Doria09/2015
14865*10^140744-7140745Robert Price09/2015
1487(5^201359-1)/4140744Paul Bourdelais12/2008
14882^467401-1850023140702Enzo Doria08/2015
1489(2^467270+78557)/23247140658Lelio R Paula07/2015
1490(29*2^467205+1)/2780517107140635Lelio R Paula08/2015
14912^467166-1854941140631Enzo Doria09/2015
14922^466866-1840571140541Enzo Doria06/2015
14932^466829-459523140530Enzo Doria05/2015
14942^466692-113213140489Enzo Doria07/2014
1495153^64265-2140400Lelio R Paula11/2017
1496(112*10^140357-1)/3140359Serge Batalov12/2014
14972^466181-112735140335Enzo Doria07/2014
1498(27*2^465872+1)/691140241Lelio R Paula08/2015
14992^465803-114817140221Enzo Doria05/2015
1500floor(Pi*10^140344)%10^140165140165Serge Batalov08/2012


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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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