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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.
Exp. Prime Factor Digits Year
5131631410530498 ~1985
5131799102635998 ~1983
5131823102636478 ~1983
5131961307917678 ~1985
5132053307923198 ~1985
5132221307933278 ~1985
5132273307936398 ~1985
5132497821199538 ~1986
5132537410602978 ~1985
51325372463617779
5132581307954878 ~1985
5132591102651838 ~1983
5132597410607778 ~1985
5132957307977438 ~1985
5132993307979598 ~1985
5132999102659998 ~1983
5133263102665278 ~1983
5133277307996638 ~1985
5133559513355918 ~1985
5133617308017038 ~1985
5133637821381938 ~1986
5133697308021838 ~1985
5133977410718178 ~1985
5134043102680878 ~1983
5134079924134238 ~1986
Exp. Prime Factor Digits Year
5134253308055198 ~1985
51343691540310719 ~1986
5134691410775298 ~1985
5134751102695038 ~1983
5134793718871038 ~1985
5135219382060293710 ~1990
5135231410818498 ~1985
51352316162277219
5135297308117838 ~1985
5135443513544318 ~1985
51356532773252639 ~1987
5135743513574318 ~1985
5136361308181678 ~1985
5136401410912098 ~1985
5136493308189598 ~1985
5136611102732238 ~1983
5136611410928898
5137019102740398 ~1983
5137513308250798 ~1985
5137739102754798 ~1983
5137871102757438 ~1983
5137943102758878 ~1983
5137963822074098 ~1986
5138053308283198 ~1985
51382074110565619 ~1987
Exp. Prime Factor Digits Year
5138503513850318 ~1985
5138663102773278 ~1983
51386774008168079 ~1987
5138849411107938 ~1985
5138923513892318 ~1985
5139371102787438 ~1983
5139479102789598 ~1983
5139551102791038 ~1983
5139791102795838 ~1983
5140067411205378 ~1985
5140073719610238 ~1985
5140153308409198 ~1985
5140361411228898 ~1985
5140403102808078 ~1983
5140481308428878 ~1985
5140643102812878 ~1983
51406731233761539 ~1986
5140871102817438 ~1983
5141099102821998 ~1983
5141137822581938 ~1986
5141537308492238 ~1985
5141677308500638 ~1985
5141947514194718 ~1985
5141959514195918 ~1985
5141963102839278 ~1983
Exp. Prime Factor Digits Year
51419772056790819 ~1987
5142197308531838 ~1985
5142257719915998 ~1985
5142637308558238 ~1985
5142661308559678 ~1985
5142779102855598 ~1983
51429132365739999 ~1987
5142967514296718 ~1985
5143031102860638 ~1983
51433391234401379 ~1986
5143403102868078 ~1983
5143771925878798 ~1986
5143783514378318 ~1985
5143921308635278 ~1985
5144011514401118 ~1985
5144561308673678 ~1985
5144603102892078 ~1983
5144827926068878 ~1986
5145053308703198 ~1985
5145071102901438 ~1983
5145083102901678 ~1983
51454632161094479 ~1987
5145521308731278 ~1985
5145593308735598 ~1985
5145661308739678 ~1985
707
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25-11-02