PRP Records

Probable Primes Top 10000

(271067 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 (> 50000) Who ? When ?
1751350377#+797581151937Nicolas PALAU08/2017
17522^504618-343991151906Enzo Doria07/2015
17532^504212-461939151783Enzo Doria07/2015
17542^504054-2231151736Yves Minet10/2011
1755(28*10^151682+191)/3151683Robert Price02/2020
17562^503361-39883151527Enzo Doria09/2015
17572^503225+382667151486Enzo Doria10/2016
1758(26*10^151391-503)/9151392Robert Price07/2018
17592^502769+1877567151349Enzo Doria08/2016
17602^502576-4019151291Yves Minet10/2011
17615*10^151257+41151258Robert Price03/2019
17622^502290-2792501151205Enzo Doria02/2016
17632^502181+1868417151172Enzo Doria04/2016
17642^501781-1850503151052Enzo Doria08/2015
1765(5*10^151007+37)/3151008Robert Price03/2018
17662^501627-991151005Yves Minet02/2014
17672^501577-115333150990Enzo Doria07/2015
17688*10^150975+3150976Robert Price08/2015
17692^501512-113669150971Enzo Doria09/2014
1770(12^139739+1)/13150803Paul Bourdelais09/2011
1771(31^101111-1)/30150792Alexander Zhirkov11/2010
17722^500899-500899150786Henri Lifchitz04/2005
17732^500832+1876801150766Enzo Doria07/2016
1774(23*10^150763-59)/9150764Robert Price05/2018
17752^500699+1884953150726Enzo Doria02/2017
1776(13*10^150675-37)/3150676Robert Price01/2019
1777(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
17792^500337-71101150617Enzo Doria04/2016
1778(74*10^150616+133)/9150617Robert Price06/2019
17804*10^150577+91150578Robert Price08/2018
17812^500160+80071150564Enzo Doria06/2016
1782(2^500120+5)/9150551Lelio R Paula12/2017
1783(43*10^150515-421)/9150516Robert Price01/2019
1785(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1784(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
17862^499861-29503150474Enzo Doria08/2015
17872^499653-113533150411Enzo Doria08/2014
17882^499534-221150375Yves Minet06/2012
17892^499225+49727150282Enzo Doria09/2016
17902^499054-29261150231Enzo Doria07/2015
1791(2^498898-7)/9150183Lelio R Paula10/2015
17923*10^150182+17150183Robert Price07/2018
17935*10^150175+63150176Robert Price09/2020
17942^498623+1866983150101Enzo Doria03/2016
1795numbpart(18140942830)150033Serge Batalov04/2017
179610^150029+4381150030Patrick De Geest05/2016
179710^150029-41150029Serge Batalov12/2014
179810^150000+1158603150001Patrick De Geest09/2018
179910^150000-245703150000Patrick De Geest09/2018
1800(38*10^149999+691)/9150000Robert Price10/2018
18012^498238-53149985Lelio R Paula12/2017
18025*10^149907+23149908Robert Price03/2019
180339347^6442+6442^39347149874Hans Havermann09/2020
18042^497850+81049149868Enzo Doria07/2016
1805(5*2^497673+1)/2743149812Lelio R Paula10/2015
1806(5*2^497671+1)/373703149810Lelio R Paula10/2015
1807(2*10^149803-143)/3149803Robert Price03/2018
180833845^26604+26604^33845149763Hans Havermann09/2020
18092^497434-2784191149743Enzo Doria10/2015
1810(865*10^149737-1)/9149739Robert Price04/2020
181138237^8214+8214^38237149681Hans Havermann09/2020
1812(23*10^149655+19)/3149656Robert Price07/2019
18132^497068-113579149633Enzo Doria08/2014
18142^497037+73727149624Enzo Doria04/2016
181534942^19067+19067^34942149562Hans Havermann09/2020
181633696^27449+27449^33696149561Hans Havermann09/2020
18172^496773+77747149544Enzo Doria05/2016
1818(206*10^149459+7)/3149461Robert Price07/2020
181934589^20940+20940^34589149459Hans Havermann09/2020
18202^496477-113485149455Enzo Doria08/2014
1821((10^74703-1)*10000/9+7481)*10^74703+(10^74703-1)/9149410Hans Havermann09/2019
18222^496270-49451149393Enzo Doria10/2015
18232^496238-1865081149383Enzo Doria01/2016
182433831^26030+26030^33831149380Hans Havermann09/2020
182534131^23780+23780^34131149365Hans Havermann09/2020
1826(5*10^149335-53)/3149336Robert Price09/2020
18272^495968-1853699149302Enzo Doria09/2015
18282^495935-4117149292Yves Minet02/2018
182935816^14709+14709^35816149267Hans Havermann09/2020
18302^495712-396765149225Enzo Doria07/2013
1831(21*2^495676-1)/4835149211Lelio R Paula10/2015
18322^495420+1880701149137Enzo Doria10/2016
18332^495337-1847293149112Enzo Doria07/2015
1834(2^495193-7)/5149068Lelio R Paula10/2015
183533282^30097+30097^33282149055Hans Havermann09/2020
183637384^9705+9705^37384149050Hans Havermann09/2020
183734808^19143+19143^34808149049Hans Havermann09/2020
1838413^56963-412^56963149013Jean-Louis Charton08/2012
183947^89113-46^89113149006Robert Price10/2012
18402^494916+87855148985Lelio R Paula01/2016
18416*10^148982+73148983Robert Price04/2019
18422^494586-2791991148886Enzo Doria02/2016
18438*10^148860-3148861Ray Chandler04/2011
18442^494333-286183148810Enzo Doria06/2015
18452^494144-264119148753Enzo Doria05/2014
1846(5*2^493838-1)/3721148658Lelio R Paula10/2015
1847(23*2^493761-1)/555148636Lelio R Paula10/2015
1848(151*10^148601-1)/3148603Robert Price03/2020
18492^493636+82081148600Enzo Doria09/2016
1850((((((((((((((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
1851177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1852(2*10^148460-23)/3148460Robert Price04/2018
1853(28*10^148445+101)/3148446Robert Price09/2020
1854(8*10^148328+1)/9148328Serge Batalov05/2010
1855(71*10^148306-539)/9148307Robert Price07/2019
18565^211959-12874148153Enzo Doria05/2014
1857(16*10^148071+41)/3148072Robert Price03/2019
1858187^65175-2148068Lelio R Paula11/2017
18592^491851+1871453148062Enzo Doria05/2016
1860(68*10^148060-257)/9148061Robert Price07/2019
1861(151*10^148020-1)/3148022Robert Price03/2020
1862(26*10^147973-23)/3147974Robert Price12/2019
18632^491521-1865323147963Enzo Doria02/2016
1864(2^491476+7)/71147948Lelio R Paula10/2015
18652^491391-7807147924Lelio R Paula01/2013
18662^491370-113297147918Enzo Doria07/2014
1867(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
1868(17*10^147890+79)/3147891Robert Price04/2019
186994*10^147871-3147873Robert Price05/2020
18702^490660-17147704Lelio R Paula12/2017
1871(229*10^147699-1)/3147701Robert Price07/2020
18722^490550+1179439147671Enzo Doria06/2016
1873(23*10^147649-59)/9147650Robert Price05/2018
18742^490303+2793653147596Enzo Doria03/2016
1875199^64181-2147543Lelio R Paula11/2017
18762^489871-286987147466Enzo Doria07/2015
18772^489864-351899147464Enzo Doria07/2015
1878175^65724-2147422Lelio R Paula11/2017
18792^489712+1874851147419Enzo Doria06/2016
188063^81896-2147359Lelio R Paula10/2017
1881(11*10^147313-107)/3147314Robert Price09/2018
18822^489305-59815147296Enzo Doria10/2015
1883(2^489280-7)/6381147285Lelio R Paula09/2015
18842^489125+80357147242Enzo Doria06/2016
1885(148*10^147139-1)/3147141Robert Price03/2020
18862^488648-112799147098Enzo Doria07/2014
18872^488627-350317147092Enzo Doria06/2015
1888(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
18892^488280-2165146987Yves Minet07/2014
18902^488278+45146987Lelio R Paula12/2017
18912^487927-39146881Lelio R Paula12/2017
1892(7*10^146860-13)/3146861Robert Price07/2018
1893(26*10^146856-77)/3146857Robert Price11/2019
18942^487726-1863341146821Enzo Doria12/2015
1895((10^73362-1)*10000/9+6701)*10^73362+(10^73362-1)/9146728Hans Havermann09/2019
1896(22*10^146661-19)/3146662Robert Price04/2019
18972^487121-39523146639Enzo Doria09/2015
1898(7*2^486967+1)/39146591Lelio R Paula09/2015
18992^486893-79146570Yves Minet09/2017
19002^486840+1879141146554Enzo Doria08/2016
19012^486774-87146534Lelio R Paula12/2017
190296^73877-95^73877146445Robert Price10/2015
19038*10^146421+81146422Robert Price08/2019
1904(52^85259+1)/53146304Paul Bourdelais09/2017
1905179^64935+2146290Lelio R Paula10/2017
1906(19*10^146181-49)/3146182Robert Price05/2019
19072^485531-114621146160Enzo Doria05/2015
1908(2^485461-9)/4249146135Lelio R Paula09/2015
19092^485389+81887146117Enzo Doria08/2016
1910(10^146063+71)/9146063Serge Batalov07/2015
1911(2^485119+7)/2745146032Lelio R Paula09/2015
1912(22*10^146029+257)/9146030Robert Price06/2018
19137*10^145982-53145983Robert Price06/2020
19142^484743+1872923145923Enzo Doria05/2016
19152^484341+1879157145802Enzo Doria08/2016
19162*10^145784-91145785Robert Price04/2020
19172^484271-51145781Lelio R Paula11/2017
191870^78989-69^78989145743Robert Price01/2014
191951^85334+2145714Robert Price07/2015
19202^483886-1857101145665Enzo Doria10/2015
1921(19*10^145585+131)/3145586Robert Price06/2020
19222^483563-1863457145567Enzo Doria12/2015
19232^483516-1861409145553Enzo Doria11/2015
19242^483384-115019145514Enzo Doria06/2015
1925(19*10^145499-61)/3145500Robert Price05/2019
19262^483302-3221145489Lelio R Paula12/2012
19272^483046+1874029145412Enzo Doria06/2016
19282^482991-2789317145395Enzo Doria12/2015
19292^482978-2789711145391Enzo Doria12/2015
19302^482966-2789711145388Enzo Doria12/2015
19312^482817-1858843145343Enzo Doria10/2015
19322^482751-113635145323Enzo Doria08/2014
19332^482705-459763145309Enzo Doria05/2015
1934(4^241306+11)/3145281Robert Price03/2017
1935(238*10^145276-1)/3145278Robert Price04/2020
1936(19*2^482534+1)/7145258Lelio R Paula09/2015
193753^84239-52^84239145252Robert Price01/2013
1938(2^482333+5)/9287145193Lelio R Paula09/2015
19392^482087+72623145123Enzo Doria04/2016
19402^482016-286565145102Enzo Doria07/2015
1941(19*10^145093+101)/3145094Robert Price09/2019
19422^481840+15145049Robert Price09/2015
19432^481801-481801145037Henri Lifchitz03/2005
19442^481775+1869083145029Enzo Doria05/2016
194529^99167+2145022Ray Chandler08/2011
19462^481663+1875653144996Enzo Doria07/2016
19472^481149-459073144841Enzo Doria05/2015
19482^481045-113215144809Enzo Doria07/2014
1949(64*10^144797+287)/9144798Robert Price04/2019
19502^480859-113695144753Enzo Doria09/2014
19512^480766-2787191144725Enzo Doria11/2015
1952(21*27^101106-151)/26144720Curtis Bright05/2015
19532^480678+1874239144699Enzo Doria06/2016
1954(8*10^144683+1)/9144683Serge Batalov05/2010
1955L(692147)144651Henri Lifchitz10/2008
1956(76*10^144648+77)/9144649Robert Price10/2019
19572^480417+35144620Robert Price11/2015
19582^480296-59879144584Enzo Doria10/2015
19592^479844+3144448Donovan Johnson06/2006
1960(27*2^479642+1)/733144386Lelio R Paula08/2015
1961(21*2^479605-1)/11144376Lelio R Paula09/2015
19622^479348-2792219144299Enzo Doria02/2016
19633^302389-6242144277Enzo Doria05/2014
19642*10^144220-3144221Robert Price07/2015
19652^478904-109109144165Enzo Doria04/2014
19662^478337-115333143994Enzo Doria07/2015
1967(7*2^478330-1)/3143993Lelio R Paula08/2015
196888^74047-87^74047143984Robert Price05/2015
1969(19*10^143963+467)/9143964Robert Price02/2018
1970(71^77761+1)/72143954Paul Bourdelais09/2017
19712^478088+27143919Robert Price11/2015
19727*10^143857-93143858Robert Price08/2020
19733*10^143844+61143845Robert Price09/2020
19742^477475-22071143735Enzo Doria07/2013
19752^477417-22123143717Enzo Doria07/2013
19762^477359-3577143700Yves Minet03/2017
1977(14*10^143662-71)/3143663Robert Price12/2018
19782^476936-396765143573Enzo Doria07/2013
19792^476888-2791229143558Enzo Doria01/2016
19802^476868-1859939143552Enzo Doria11/2015
1981755^49878+49878^755143547Norbert Schneider04/2019
19822^476558-113627143459Enzo Doria08/2014
19832^476478-45143435Lelio R Paula11/2017
1984(2^475854+9)/73143245Lelio R Paula08/2015
19852^475813-113239143234Enzo Doria07/2014
19862^475624-114059143178Enzo Doria11/2014
1987(11*2^475553-7)/15143156Renaud Lifchitz03/2011
19882^475480-2786129143134Enzo Doria10/2015
1989(19*10^143129-43)/3143130Robert Price05/2019
1990(14*10^143097+73)/3143098Robert Price12/2018
19912^475299-111937143080Enzo Doria05/2014
19922^475160-2797859143038Enzo Doria04/2016
1993(2^475069+3)/395143008Lelio R Paula08/2015
19942^475027-461437142998Enzo Doria07/2015
1995(2^474958+78557)/3142977Lelio R Paula07/2015
1996(8*10^142932+43)/3142933Robert Price06/2018
1997(54^82471-1)/53142871Paul Bourdelais09/2017
1998(11*2^474432-1)/95142818Lelio R Paula09/2015
19992^474417-59923142814Enzo Doria10/2015
20004*10^142810-21142811Robert Price09/2018


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 30 2020 10:03 (Time in France)

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