PRP Records

Probable Primes Top 10000

(252538 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 ?
15012^495337-1847293149112Enzo Doria07/2015
1502(2^495193-7)/5149068Lelio R Paula10/2015
1503413^56963-412^56963149013Jean-Louis Charton08/2012
150447^89113-46^89113149006Robert Price10/2012
15052^494916+87855148985Lelio R Paula01/2016
15062^494586-2791991148886Enzo Doria02/2016
15078*10^148860-3148861Ray Chandler04/2011
15082^494333-286183148810Enzo Doria06/2015
15092^494144-264119148753Enzo Doria05/2014
1510(5*2^493838-1)/3721148658Lelio R Paula10/2015
1511(23*2^493761-1)/555148636Lelio R Paula10/2015
15122^493636+82081148600Enzo Doria09/2016
1513((((((((((((((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
1514177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1515(2*10^148460-23)/3148460Robert Price04/2018
1516(8*10^148328+1)/9148328Serge Batalov05/2010
15175^211959-12874148153Enzo Doria05/2014
1518187^65175-2148068Lelio R Paula11/2017
15192^491851+1871453148062Enzo Doria05/2016
15202^491521-1865323147963Enzo Doria02/2016
1521(2^491476+7)/71147948Lelio R Paula10/2015
15222^491391-7807147924Lelio R Paula01/2013
15232^491370-113297147918Enzo Doria07/2014
1524(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
15252^490660-17147704Lelio R Paula12/2017
15262^490550+1179439147671Enzo Doria06/2016
1527(23*10^147649-59)/9147650Robert Price05/2018
15282^490303+2793653147596Enzo Doria03/2016
1529199^64181-2147543Lelio R Paula11/2017
15302^489871-286987147466Enzo Doria07/2015
15312^489864-351899147464Enzo Doria07/2015
1532175^65724-2147422Lelio R Paula11/2017
15332^489712+1874851147419Enzo Doria06/2016
153463^81896-2147359Lelio R Paula10/2017
1535(11*10^147313-107)/3147314Robert Price09/2018
15362^489305-59815147296Enzo Doria10/2015
1537(2^489280-7)/6381147285Lelio R Paula09/2015
15382^489125+80357147242Enzo Doria06/2016
15392^488648-112799147098Enzo Doria07/2014
15402^488627-350317147092Enzo Doria06/2015
1541(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
15422^488280-2165146987Yves Minet07/2014
15432^488278+45146987Lelio R Paula12/2017
15442^487927-39146881Lelio R Paula12/2017
1545(7*10^146860-13)/3146861Robert Price07/2018
15462^487726-1863341146821Enzo Doria12/2015
15472^487121-39523146639Enzo Doria09/2015
1548(7*2^486967+1)/39146591Lelio R Paula09/2015
15492^486893-79146570Yves Minet09/2017
15502^486840+1879141146554Enzo Doria08/2016
15512^486774-87146534Lelio R Paula12/2017
155296^73877-95^73877146445Robert Price10/2015
1553(52^85259+1)/53146304Paul Bourdelais09/2017
1554179^64935+2146290Lelio R Paula10/2017
15552^485531-114621146160Enzo Doria05/2015
1556(2^485461-9)/4249146135Lelio R Paula09/2015
15572^485389+81887146117Enzo Doria08/2016
1558(10^146063+71)/9146063Serge Batalov07/2015
1559(2^485119+7)/2745146032Lelio R Paula09/2015
1560(22*10^146029+257)/9146030Robert Price06/2018
15612^484743+1872923145923Enzo Doria05/2016
15622^484341+1879157145802Enzo Doria08/2016
15632^484271-51145781Lelio R Paula11/2017
156470^78989-69^78989145743Robert Price01/2014
156551^85334+2145714Robert Price07/2015
15662^483886-1857101145665Enzo Doria10/2015
15672^483563-1863457145567Enzo Doria12/2015
15682^483516-1861409145553Enzo Doria11/2015
15692^483384-115019145514Enzo Doria06/2015
15702^483302-3221145489Lelio R Paula12/2012
15712^483046+1874029145412Enzo Doria06/2016
15722^482991-2789317145395Enzo Doria12/2015
15732^482978-2789711145391Enzo Doria12/2015
15742^482966-2789711145388Enzo Doria12/2015
15752^482817-1858843145343Enzo Doria10/2015
15762^482751-113635145323Enzo Doria08/2014
15772^482705-459763145309Enzo Doria05/2015
1578(4^241306+11)/3145281Robert Price03/2017
1579(19*2^482534+1)/7145258Lelio R Paula09/2015
158053^84239-52^84239145252Robert Price01/2013
1581(2^482333+5)/9287145193Lelio R Paula09/2015
15822^482087+72623145123Enzo Doria04/2016
15832^482016-286565145102Enzo Doria07/2015
15842^481840+15145049Robert Price09/2015
15852^481801-481801145037Henri Lifchitz03/2005
15862^481775+1869083145029Enzo Doria05/2016
158729^99167+2145022Ray Chandler08/2011
15882^481663+1875653144996Enzo Doria07/2016
15892^481149-459073144841Enzo Doria05/2015
15902^481045-113215144809Enzo Doria07/2014
15912^480859-113695144753Enzo Doria09/2014
15922^480766-2787191144725Enzo Doria11/2015
1593(21*27^101106-151)/26144720Curtis Bright05/2015
15942^480678+1874239144699Enzo Doria06/2016
1595(8*10^144683+1)/9144683Serge Batalov05/2010
1596L(692147)144651Henri Lifchitz10/2008
15972^480417+35144620Robert Price11/2015
15982^480296-59879144584Enzo Doria10/2015
15992^479844+3144448Donovan Johnson06/2006
1600(27*2^479642+1)/733144386Lelio R Paula08/2015
1601(21*2^479605-1)/11144376Lelio R Paula09/2015
16022^479348-2792219144299Enzo Doria02/2016
16033^302389-6242144277Enzo Doria05/2014
16042*10^144220-3144221Robert Price07/2015
16052^478904-109109144165Enzo Doria04/2014
16062^478337-115333143994Enzo Doria07/2015
1607(7*2^478330-1)/3143993Lelio R Paula08/2015
160888^74047-87^74047143984Robert Price05/2015
1609(19*10^143963+467)/9143964Robert Price02/2018
1610(71^77761+1)/72143954Paul Bourdelais09/2017
16112^478088+27143919Robert Price11/2015
16122^477475-22071143735Enzo Doria07/2013
16132^477417-22123143717Enzo Doria07/2013
16142^477359-3577143700Yves Minet03/2017
1615(14*10^143662-71)/3143663Robert Price12/2018
16162^476936-396765143573Enzo Doria07/2013
16172^476888-2791229143558Enzo Doria01/2016
16182^476868-1859939143552Enzo Doria11/2015
16192^476558-113627143459Enzo Doria08/2014
16202^476478-45143435Lelio R Paula11/2017
1621(2^475854+9)/73143245Lelio R Paula08/2015
16222^475813-113239143234Enzo Doria07/2014
16232^475624-114059143178Enzo Doria11/2014
1624(11*2^475553-7)/15143156Renaud Lifchitz03/2011
16252^475480-2786129143134Enzo Doria10/2015
1626(14*10^143097+73)/3143098Robert Price12/2018
16272^475299-111937143080Enzo Doria05/2014
16282^475160-2797859143038Enzo Doria04/2016
1629(2^475069+3)/395143008Lelio R Paula08/2015
16302^475027-461437142998Enzo Doria07/2015
1631(2^474958+78557)/3142977Lelio R Paula07/2015
1632(8*10^142932+43)/3142933Robert Price06/2018
1633(54^82471-1)/53142871Paul Bourdelais09/2017
1634(11*2^474432-1)/95142818Lelio R Paula09/2015
16352^474417-59923142814Enzo Doria10/2015
16364*10^142810-21142811Robert Price09/2018
1637(3*2^474166+1)/7142738Lelio R Paula08/2015
16382^474053+2897142705Lelio R Paula08/2012
1639(10^142699+359)/9142699Serge Batalov12/2014
1640898^48311-897^48311142676Jean-Louis Charton12/2012
16412^473740-1856639142610Enzo Doria09/2015
16422^473617-114223142573Enzo Doria12/2014
16432^473257+1873217142465Enzo Doria06/2016
1644(19*2^473242+1)/11142461Lelio R Paula09/2015
1645(14*10^142440+61)/3142441Robert Price12/2018
1646(10^142425+359)/9142425Serge Batalov12/2014
16472^473101+773027142418Enzo Doria05/2016
1648(13*2^472838-1)/3142340Lelio R Paula09/2015
1649(17*2^472789-1)/187347142320Lelio R Paula09/2015
16502^472634-109511142278Enzo Doria04/2014
1651(48^84589+1)/49142213Robert Price01/2014
16522^472258+7142164Lelio R Paula08/2015
1653tau(317^10330)142098Nik Lygeros / Olivier Rozier / LR team10/2013
1654(11*2^471913-1)/21142060Lelio R Paula09/2015
16552^471792+1880881142024Enzo Doria11/2016
1656(31*2^471580-1)/135141960Lelio R Paula08/2015
1657(4*10^141926-79)/3141927Robert Price02/2018
1658(904*19^110984-1)/3141924Curtis Bright05/2015
1659(14*10^141853+37)/3141854Robert Price12/2018
1660(41*10^141836-59)/9141837Robert Price10/2018
16614*5^202913-9141831Lelio R Paula04/2015
16622*7^167812-3141818Lelio R Paula12/2014
16632^471043+35141799Robert Price11/2015
1664(11*2^470956-1)/7945141770Lelio R Paula08/2015
1665(11*10^141718-131)/3141719Robert Price09/2018
16662^470692+76771141693Enzo Doria05/2016
1667(21*2^470391+1)/533141601Lelio R Paula09/2015
16682^470305-459373141576Enzo Doria05/2015
16692^470183+72623141540Enzo Doria04/2016
16702^470173-16465141537Enzo Doria04/2013
16712^469974-1841141477Enzo Doria05/2014
1672(23*2^469939+1)/25141466Lelio R Paula08/2015
16732*10^141448+63141449Robert Price05/2018
16742^469824+43141432Lelio R Paula09/2017
16752*10^141407-27141408Robert Price05/2018
16762^469630-59711141373Enzo Doria10/2015
1677(25*10^141366-331)/9141367Robert Price08/2018
1678(2^469564-3)/611141351Lelio R Paula08/2015
1679197^61601+2141342Lelio R Paula08/2017
16802^469372-112949141296Enzo Doria07/2014
1681143^(2^16)+106^(2^16)141253Valeryi Kuryshev02/2011
1682143^65536+106^65536141253Serge Batalov03/2018
16832^469198+782569141243Enzo Doria10/2016
16842^469076-2786939141206Enzo Doria11/2015
16852^468804+1874941141125Enzo Doria06/2016
16862^468787+81353141119Enzo Doria08/2016
16872^468595-350407141062Enzo Doria06/2015
16882^468564+87855141052Lelio R Paula01/2016
16892^468551-21987141048Enzo Doria07/2013
16902^468523-7141040Lelio R Paula08/2015
16912^468405+87855141004Lelio R Paula01/2016
16922^467978-113051140876Enzo Doria07/2014
16932^467780-344429140816Enzo Doria07/2015
16942^467605-1855603140764Enzo Doria09/2015
16955*10^140744-7140745Robert Price09/2015
1696(5^201359-1)/4140744Paul Bourdelais12/2008
16972^467401-1850023140702Enzo Doria08/2015
1698(2^467270+78557)/23247140658Lelio R Paula07/2015
1699(29*2^467205+1)/2780517107140635Lelio R Paula08/2015
17002^467166-1854941140631Enzo Doria09/2015
17012^466866-1840571140541Enzo Doria06/2015
17022^466829-459523140530Enzo Doria05/2015
17032^466692-113213140489Enzo Doria07/2014
1704(44*10^140410-503)/9140411Robert Price12/2018
1705153^64265-2140400Lelio R Paula11/2017
1706(112*10^140357-1)/3140359Serge Batalov12/2014
17072^466181-112735140335Enzo Doria07/2014
1708(5*10^140281-119)/3140282Robert Price03/2018
1709(27*2^465872+1)/691140241Lelio R Paula08/2015
17102^465803-114817140221Enzo Doria05/2015
1711floor(Pi*10^140344)%10^140165140165Serge Batalov08/2012
17122^465503-112735140131Enzo Doria07/2014
17136^179964+179964^6-1140040Robert Price04/2014
1714(29*2^465077-1)/9140003Lelio R Paula08/2015
17152^465072-344789140001Enzo Doria07/2015
17162^464864-17139939Lelio R Paula09/2017
1717(17^113621+1)/18139804Paul Bourdelais09/2011
1718(13*10^139782+191)/3139783Robert Price11/2018
1719(19*2^464312-1)/3139773Lelio R Paula08/2015
17203*10^139722+13139723Robert Price07/2018
1721(31*2^463970+1)/5139670Lelio R Paula08/2015
1722(18203^(2^15)+(18201)^(2^15))/2139597Robert Price05/2018
17232^463633-2788423139568Enzo Doria11/2015
17242^463271-109501139459Enzo Doria04/2014
1725(5*10^139457+79)/3139458Robert Price03/2018
17262^463237-99139449Lelio R Paula09/2017
1727(7*10^139417-547)/9139417Robert Price01/2018
1728(10^139398+191)/3139398Robert Price02/2018
17292^463019+79463139383Enzo Doria06/2016
17303^292129-112756139381Enzo Doria07/2014
1731(15*2^462951+1)/527139361Lelio R Paula08/2015
17322^462855-1865707139334Enzo Doria02/2016
17332^462786-292043139313Enzo Doria08/2015
1734(26*10^139289+1)/9139290Serge Batalov05/2010
1735(17*10^139239+67)/3139240Robert Price01/2019
17362^462238-935139148Yves Minet02/2014
17372^461228+1870441138844Enzo Doria05/2016
17382^461204-113675138837Enzo Doria08/2014
1739(2^461139-7)/47138815Lelio R Paula08/2015
1740(17*10^138812-521)/9138813Robert Price04/2018
17413*10^138811-11138812Robert Price07/2018
1742(17*2^460963+1)/124051613138757Lelio R Paula08/2015
1743(43*10^138648+101)/9138649Robert Price11/2018
17442^460567-113541138645Enzo Doria08/2014
17457*10^138604+3138605Robert Price08/2015
17462^460330+69138574Lelio R Paula09/2017
17472^460078-69581138498Enzo Doria12/2015
17482^459768+1531138404Lelio R Paula06/2012
17492^459343-113611138277Enzo Doria08/2014
17502^459199+1874393138233Enzo Doria06/2016


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: February, 14 2019 10:37 (Time in France)

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