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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exponent Prime Factor Digits Year
4513523519027047039 ~1999
4513526639027053279 ~1999
4513532519027065039 ~1999
4513644719027289439 ~1999
4513648439027296879 ~1999
4513797119027594239 ~1999
4513898039027796079 ~1999
4514059439028118879 ~1999
4514141639028283279 ~1999
4514169239028338479 ~1999
451437677632012747910 ~2001
4514503799029007599 ~1999
4514588039029176079 ~1999
451472713270883627910 ~2000
4514784119029568239 ~1999
4514878439029756879 ~1999
4514907239029814479 ~1999
4514934771354480431111 ~2001
451502659451502659110 ~2000
4515116039030232079 ~1999
4515268799030537599 ~1999
4515355439030710879 ~1999
4515394799030789599 ~1999
4515400271083696064911 ~2001
451551899361241519310 ~2000
Exponent Prime Factor Digits Year
451565977270939586310 ~2000
4515696599031393199 ~1999
4515728399031456799 ~1999
4515753731354726119111 ~2001
4515771176773656755111 ~2003
451585873270951523910 ~2000
4515890639031781279 ~1999
4516035839032071679 ~1999
4516110599032221199 ~1999
451620817270972490310 ~2000
4516215013522647707911 ~2002
451637741361310192910 ~2000
4516405931354921779111 ~2001
451643293270985975910 ~2000
4516456799032913599 ~1999
451647593270988555910 ~2000
451649981270989988710 ~2000
451650673993631480710 ~2001
4516623719033247439 ~1999
451662397270997438310 ~2000
4516859399033718799 ~1999
451706141361364912910 ~2000
451722493271033495910 ~2000
451743233271045939910 ~2000
4517439599034879199 ~1999
Exponent Prime Factor Digits Year
4517467919034935839 ~1999
4517503199035006399 ~1999
4517505835149956646311 ~2003
4517613719035227439 ~1999
4517625119035250239 ~1999
4517635199035270399 ~1999
45178413111294603275112 ~2004
4517852639035705279 ~1999
4517908199035816399 ~1999
451829597361463677710 ~2000
4518320399036640799 ~1999
4518448319036896639 ~1999
4518698399037396799 ~1999
4518770399037540799 ~1999
451906957271144174310 ~2000
451912361361529888910 ~2000
451912753271147651910 ~2000
4519339919038679839 ~1999
4519422239038844479 ~1999
451967599451967599110 ~2000
4519787999039575999 ~1999
4519904039039808079 ~1999
4519913639039827279 ~1999
4520017034339216348911 ~2003
4520026799040053599 ~1999
Exponent Prime Factor Digits Year
4520230319040460639 ~1999
4520271239040542479 ~1999
4520380199040760399 ~1999
452053499361642799310 ~2000
4520671319041342639 ~1999
4520687691084965045711 ~2001
4520733971808293588111 ~2002
45207396725677801325712 ~2005
452084939361667951310 ~2000
4521191039042382079 ~1999
4521325199042650399 ~1999
4521339719042679439 ~1999
452145517271287310310 ~2000
4522285319044570639 ~1999
452232917271339750310 ~2000
4522357439044714879 ~1999
452262527361810021710 ~2000
4522740839045481679 ~1999
452283001271369800710 ~2000
4522861439045722879 ~1999
4522924799045849599 ~1999
4522929839045859679 ~1999
4522954799045909599 ~1999
452307617633230663910 ~2001
4523080199046160399 ~1999
3219
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25-07-08