PRP Records

Probable Primes Top 10000

(225451 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 ?
1501(22*10^146029+257)/9146030Robert Price06/2018
15022^484743+1872923145923Enzo Doria05/2016
15032^484341+1879157145802Enzo Doria08/2016
15042^484271-51145781Lelio R Paula11/2017
150570^78989-69^78989145743Robert Price01/2014
150651^85334+2145714Robert Price07/2015
15072^483886-1857101145665Enzo Doria10/2015
15082^483563-1863457145567Enzo Doria12/2015
15092^483516-1861409145553Enzo Doria11/2015
15102^483384-115019145514Enzo Doria06/2015
15112^483302-3221145489Lelio R Paula12/2012
15122^483046+1874029145412Enzo Doria06/2016
15132^482991-2789317145395Enzo Doria12/2015
15142^482978-2789711145391Enzo Doria12/2015
15152^482966-2789711145388Enzo Doria12/2015
15162^482817-1858843145343Enzo Doria10/2015
15172^482751-113635145323Enzo Doria08/2014
15182^482705-459763145309Enzo Doria05/2015
1519(4^241306+11)/3145281Robert Price03/2017
1520(19*2^482534+1)/7145258Lelio R Paula09/2015
152153^84239-52^84239145252Robert Price01/2013
1522(2^482333+5)/9287145193Lelio R Paula09/2015
15232^482087+72623145123Enzo Doria04/2016
15242^482016-286565145102Enzo Doria07/2015
15252^481840+15145049Robert Price09/2015
15262^481801-481801145037Henri Lifchitz03/2005
15272^481775+1869083145029Enzo Doria05/2016
152829^99167+2145022Ray Chandler08/2011
15292^481663+1875653144996Enzo Doria07/2016
15302^481149-459073144841Enzo Doria05/2015
15312^481045-113215144809Enzo Doria07/2014
15322^480859-113695144753Enzo Doria09/2014
15332^480766-2787191144725Enzo Doria11/2015
1534(21*27^101106-151)/26144720Curtis Bright05/2015
15352^480678+1874239144699Enzo Doria06/2016
1536(8*10^144683+1)/9144683Serge Batalov05/2010
1537L(692147)144651Henri Lifchitz10/2008
15382^480417+35144620Robert Price11/2015
15392^480296-59879144584Enzo Doria10/2015
15402^479844+3144448Donovan Johnson06/2006
1541(27*2^479642+1)/733144386Lelio R Paula08/2015
1542(21*2^479605-1)/11144376Lelio R Paula09/2015
15432^479348-2792219144299Enzo Doria02/2016
15443^302389-6242144277Enzo Doria05/2014
15452*10^144220-3144221Robert Price07/2015
15462^478904-109109144165Enzo Doria04/2014
15472^478337-115333143994Enzo Doria07/2015
1548(7*2^478330-1)/3143993Lelio R Paula08/2015
154988^74047-87^74047143984Robert Price05/2015
1550(19*10^143963+467)/9143964Robert Price02/2018
1551(71^77761+1)/72143954Paul Bourdelais09/2017
15522^478088+27143919Robert Price11/2015
15532^477475-22071143735Enzo Doria07/2013
15542^477417-22123143717Enzo Doria07/2013
15552^477359-3577143700Yves Minet03/2017
15562^476936-396765143573Enzo Doria07/2013
15572^476888-2791229143558Enzo Doria01/2016
15582^476868-1859939143552Enzo Doria11/2015
15592^476558-113627143459Enzo Doria08/2014
15602^476478-45143435Lelio R Paula11/2017
1561(2^475854+9)/73143245Lelio R Paula08/2015
15622^475813-113239143234Enzo Doria07/2014
15632^475624-114059143178Enzo Doria11/2014
1564(11*2^475553-7)/15143156Renaud Lifchitz03/2011
15652^475480-2786129143134Enzo Doria10/2015
15662^475299-111937143080Enzo Doria05/2014
15672^475160-2797859143038Enzo Doria04/2016
1568(2^475069+3)/395143008Lelio R Paula08/2015
15692^475027-461437142998Enzo Doria07/2015
1570(2^474958+78557)/3142977Lelio R Paula07/2015
1571(8*10^142932+43)/3142933Robert Price06/2018
1572(54^82471-1)/53142871Paul Bourdelais09/2017
1573(11*2^474432-1)/95142818Lelio R Paula09/2015
15742^474417-59923142814Enzo Doria10/2015
15754*10^142810-21142811Robert Price09/2018
1576(3*2^474166+1)/7142738Lelio R Paula08/2015
15772^474053+2897142705Lelio R Paula08/2012
1578(10^142699+359)/9142699Serge Batalov12/2014
1579898^48311-897^48311142676Jean-Louis Charton12/2012
15802^473740-1856639142610Enzo Doria09/2015
15812^473617-114223142573Enzo Doria12/2014
15822^473257+1873217142465Enzo Doria06/2016
1583(19*2^473242+1)/11142461Lelio R Paula09/2015
1584(10^142425+359)/9142425Serge Batalov12/2014
15852^473101+773027142418Enzo Doria05/2016
1586(13*2^472838-1)/3142340Lelio R Paula09/2015
1587(17*2^472789-1)/187347142320Lelio R Paula09/2015
15882^472634-109511142278Enzo Doria04/2014
1589(48^84589+1)/49142213Robert Price01/2014
15902^472258+7142164Lelio R Paula08/2015
1591tau(317^10330)142098Nik Lygeros / Olivier Rozier / LR team10/2013
1592(11*2^471913-1)/21142060Lelio R Paula09/2015
15932^471792+1880881142024Enzo Doria11/2016
1594(31*2^471580-1)/135141960Lelio R Paula08/2015
1595(4*10^141926-79)/3141927Robert Price02/2018
1596(904*19^110984-1)/3141924Curtis Bright05/2015
15974*5^202913-9141831Lelio R Paula04/2015
15982*7^167812-3141818Lelio R Paula12/2014
15992^471043+35141799Robert Price11/2015
1600(11*2^470956-1)/7945141770Lelio R Paula08/2015
1601(11*10^141718-131)/3141719Robert Price09/2018
16022^470692+76771141693Enzo Doria05/2016
1603(21*2^470391+1)/533141601Lelio R Paula09/2015
16042^470305-459373141576Enzo Doria05/2015
16052^470183+72623141540Enzo Doria04/2016
16062^470173-16465141537Enzo Doria04/2013
16072^469974-1841141477Enzo Doria05/2014
1608(23*2^469939+1)/25141466Lelio R Paula08/2015
16092*10^141448+63141449Robert Price05/2018
16102^469824+43141432Lelio R Paula09/2017
16112*10^141407-27141408Robert Price05/2018
16122^469630-59711141373Enzo Doria10/2015
1613(25*10^141366-331)/9141367Robert Price08/2018
1614(2^469564-3)/611141351Lelio R Paula08/2015
1615197^61601+2141342Lelio R Paula08/2017
16162^469372-112949141296Enzo Doria07/2014
1618143^(2^16)+106^(2^16)141253Valeryi Kuryshev02/2011
1617143^65536+106^65536141253Serge Batalov03/2018
16192^469198+782569141243Enzo Doria10/2016
16202^469076-2786939141206Enzo Doria11/2015
16212^468804+1874941141125Enzo Doria06/2016
16222^468787+81353141119Enzo Doria08/2016
16232^468595-350407141062Enzo Doria06/2015
16242^468564+87855141052Lelio R Paula01/2016
16252^468551-21987141048Enzo Doria07/2013
16262^468523-7141040Lelio R Paula08/2015
16272^468405+87855141004Lelio R Paula01/2016
16282^467978-113051140876Enzo Doria07/2014
16292^467780-344429140816Enzo Doria07/2015
16302^467605-1855603140764Enzo Doria09/2015
16315*10^140744-7140745Robert Price09/2015
1632(5^201359-1)/4140744Paul Bourdelais12/2008
16332^467401-1850023140702Enzo Doria08/2015
1634(2^467270+78557)/23247140658Lelio R Paula07/2015
1635(29*2^467205+1)/2780517107140635Lelio R Paula08/2015
16362^467166-1854941140631Enzo Doria09/2015
16372^466866-1840571140541Enzo Doria06/2015
16382^466829-459523140530Enzo Doria05/2015
16392^466692-113213140489Enzo Doria07/2014
1640153^64265-2140400Lelio R Paula11/2017
1641(112*10^140357-1)/3140359Serge Batalov12/2014
16422^466181-112735140335Enzo Doria07/2014
1643(5*10^140281-119)/3140282Robert Price03/2018
1644(27*2^465872+1)/691140241Lelio R Paula08/2015
16452^465803-114817140221Enzo Doria05/2015
1646floor(Pi*10^140344)%10^140165140165Serge Batalov08/2012
16472^465503-112735140131Enzo Doria07/2014
16486^179964+179964^6-1140040Robert Price04/2014
1649(29*2^465077-1)/9140003Lelio R Paula08/2015
16502^465072-344789140001Enzo Doria07/2015
16512^464864-17139939Lelio R Paula09/2017
1652(17^113621+1)/18139804Paul Bourdelais09/2011
1653(19*2^464312-1)/3139773Lelio R Paula08/2015
16543*10^139722+13139723Robert Price07/2018
1655(31*2^463970+1)/5139670Lelio R Paula08/2015
1656(18203^(2^15)+(18201)^(2^15))/2139597Robert Price05/2018
16572^463633-2788423139568Enzo Doria11/2015
16582^463271-109501139459Enzo Doria04/2014
1659(5*10^139457+79)/3139458Robert Price03/2018
16602^463237-99139449Lelio R Paula09/2017
1661(7*10^139417-547)/9139417Robert Price01/2018
1662(10^139398+191)/3139398Robert Price02/2018
16632^463019+79463139383Enzo Doria06/2016
16643^292129-112756139381Enzo Doria07/2014
1665(15*2^462951+1)/527139361Lelio R Paula08/2015
16662^462855-1865707139334Enzo Doria02/2016
16672^462786-292043139313Enzo Doria08/2015
1668(26*10^139289+1)/9139290Serge Batalov05/2010
16692^462238-935139148Yves Minet02/2014
16702^461228+1870441138844Enzo Doria05/2016
16712^461204-113675138837Enzo Doria08/2014
1672(2^461139-7)/47138815Lelio R Paula08/2015
1673(17*10^138812-521)/9138813Robert Price04/2018
16743*10^138811-11138812Robert Price07/2018
1675(17*2^460963+1)/124051613138757Lelio R Paula08/2015
16762^460567-113541138645Enzo Doria08/2014
16777*10^138604+3138605Robert Price08/2015
16782^460330+69138574Lelio R Paula09/2017
16792^460078-69581138498Enzo Doria12/2015
16802^459768+1531138404Lelio R Paula06/2012
16812^459343-113611138277Enzo Doria08/2014
16822^459199+1874393138233Enzo Doria06/2016
16832^459063-345307138192Enzo Doria06/2015
16842*10^138162-43138163Robert Price04/2018
16852^458927-112747138151Enzo Doria06/2014
16862^458927-69217138151Enzo Doria11/2015
1687555555*2^458524+1513138036Darren Bedwell08/2009
16882^458465+2^32+1138012T. D. Noe06/2007
16892^458321-113053137969Enzo Doria07/2014
16902^458298+79459137962Enzo Doria06/2016
16912^458248-21815137947Enzo Doria07/2013
16922^458194+1876549137931Enzo Doria07/2016
1693(318259#+325270)/(2^2*5*11*2957)137907Makoto Morimoto10/2017
16942^457937+57137853Lelio R Paula09/2017
1695(8*10^137845+13)/3137846Robert Price06/2018
16962^457822+105137819Donovan Johnson06/2006
16972^457754-113711137798Enzo Doria09/2014
169811^132315-360137792Enzo Doria09/2012
16992^457347-37137676Lelio R Paula09/2017
17002^457322-2786393137668Enzo Doria10/2015
1701gcd(Phi(699340,10),(10^34967+1)^3*(10^34967+1+10^17484)-(10^69934+10^34967)*(10^17484-1)+10^104901)137664Serge Batalov04/2015
17022^457240-59939137643Enzo Doria10/2015
17032^457120-21575137607Enzo Doria07/2013
1704(11*2^456978+1)/15137564Lelio R Paula07/2015
1705(7*25^98399+10613)/12137556Curtis Bright05/2015
17062^456796-113513137510Enzo Doria08/2014
1707(7*2^456655+1)/39137467Lelio R Paula07/2015
17082^456503-114361137422Enzo Doria01/2015
1709(11*2^456387+1)/19137386Lelio R Paula07/2015
1710(71*10^137250+1)/9137251Serge Batalov05/2010
17112^455922+76249137247Enzo Doria05/2016
171214^119741-119741^14137239Serge Batalov04/2016
1713(19*2^455760+1)/3455137196Lelio R Paula07/2015
1715124^(2^16)+57^(2^16)137195Valeryi Kuryshev02/2011
1714124^65536+57^65536137195Serge Batalov03/2018
17162^455689+72677137177Enzo Doria04/2016
1717(17948!)^2+Prime(17948)137118Robert Price08/2014
1718(37^87421-1)/36137093Robert Price03/2012
17192^455323-57137066Lelio R Paula09/2017
1720(73*17^111333-9)/16136991Curtis Bright05/2015
17212^455025-112723136977Enzo Doria06/2014
17222^454675-1777136871Yves Minet10/2011
17233*10^136829+29136830Robert Price05/2018
17244*10^136813-57136814Robert Price10/2018
1725(6092*28^94536-143)/9136812Curtis Bright05/2015
17262^454348-53136773Lelio R Paula09/2017
172731^91680-2136729Lelio R Paula05/2017
17282^454199-113697136728Enzo Doria09/2014
1729(13*10^136687+47)/3136688Robert Price10/2018
17302^453935-2791357136649Enzo Doria01/2016
17312^453906-69131136640Enzo Doria11/2015
17322^453791+1873913136605Enzo Doria06/2016
1733(21*2^453740-1)/2735136588Lelio R Paula07/2015
17342^453503-2788297136519Enzo Doria11/2015
17352^453267-113827136447Enzo Doria09/2014
17362^453102+1877629136398Enzo Doria08/2016
1737L(651821)136223Henri Lifchitz09/2008
17382^452460+77701136205Enzo Doria05/2016
17392^452440-114755136199Enzo Doria04/2015
17402*10^136057-43136058Robert Price04/2018
1741(2^451956-5)/181136051Lelio R Paula07/2015
17422^451947-22165136050Enzo Doria07/2013
17432^451787-21805136002Enzo Doria07/2013
17442^451734-112817135986Enzo Doria06/2014
1745(11*2^451714+1)/75135979Lelio R Paula07/2015
17462^451705-21879135977Enzo Doria07/2013
17472^451560-112349135934Enzo Doria06/2014
17482^451530+45135925Lelio R Paula08/2017
17492^451450-21743135900Enzo Doria07/2013
17502^450805+65135706Lelio R Paula08/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: October, 20 2018 23:15 (Time in France)

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