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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
17303171346063438 ~1988
173032671384261379 ~1989
17303999346079998 ~1988
173040834499061599 ~1990
17304251346085038 ~1988
17304719346094398 ~1988
173051111730511119 ~1989
17305391346107838 ~1988
17305511346110238 ~1988
17305559346111198 ~1988
17305919346118398 ~1988
173059333807305279 ~1990
17306423346128478 ~1988
17306483346129678 ~1988
17306543346130878 ~1988
17306651346133038 ~1988
17306771346135438 ~1988
173071371384570979 ~1989
17308103346162078 ~1988
17308139346162798 ~1988
173081391384651139
17308463346169278 ~1988
17308559346171198 ~1988
173091011038546079 ~1989
17309291346185838 ~1988
Exponent Prime Factor Digits Year
173092915538973139
173108171038649039 ~1989
17311139346222798 ~1988
17311379346227598 ~1988
173121111384968899 ~1989
173126931038761599 ~1989
17312891346257838 ~1988
17313479346269598 ~1988
173138091385104739 ~1989
17313839346276798 ~1988
17314019346280398 ~1988
17314091346281838 ~1988
173146372424049199 ~1990
17314679346293598 ~1988
17314931346298638 ~1988
17315351346307038 ~1988
17315531346310638 ~1988
17315723346314478 ~1988
173163171038979039 ~1989
17316671346333438 ~1988
17317043346340878 ~1988
173173311385386499 ~1989
17317343346346878 ~1988
173178411039070479 ~1989
173179914502677679 ~1990
Exponent Prime Factor Digits Year
17318159346363198 ~1988
17318219346364398 ~1988
17318303346366078 ~1988
17318579346371598 ~1988
17318663346373278 ~1988
17318891346377838 ~1988
173193531039161199 ~1989
17319443346388878 ~1988
17319551346391038 ~1988
17319803346396078 ~1988
173200271732002719 ~1989
17320139346402798 ~1988
17320151346403038 ~1988
17320619346412398 ~1988
17320703346414078 ~1988
17320991346419838 ~1988
17321099346421998 ~1988
17321123346422478 ~1988
17321411346428238 ~1988
17321723346434478 ~1988
17322491346449838 ~1988
17322731346454638 ~1988
17322911346458238 ~1988
17323811346476238 ~1988
173238291385906339 ~1989
Exponent Prime Factor Digits Year
17324039346480798 ~1988
17324459346489198 ~1988
173250194158004579 ~1990
17325179346503598 ~1988
17325239346504798 ~1988
173252771039516639 ~1989
17325299346505998 ~1988
17325551346511038 ~1988
173256191732561919 ~1989
173260971039565839 ~1989
17326139346522798 ~1988
173261511386092099 ~1989
173263011039578079 ~1989
17326583346531678 ~1988
173273273118918879 ~1990
17327423346548478 ~1988
17327483346549678 ~1988
17327699346553998 ~1988
173279271386234179 ~1989
17327927114364318310
17328071346561438 ~1988
173281211039687279 ~1989
17328263346565278 ~1988
17328299346565998 ~1988
17328803346576078 ~1988
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