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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
10848863216977278 ~1986
10849121650947278 ~1987
10849301110662870310 ~1990
108493871084938719 ~1988
10849463216989278 ~1986
108496697594768319 ~1990
10849673650980398 ~1987
10850051217001038 ~1986
10850579217011598 ~1986
10851551217031038 ~1986
10851671217033438 ~1986
10852033651121998 ~1987
10852223217044478 ~1986
10852739217054798 ~1986
108527391953493039
10853041651182478 ~1987
10853411217068238 ~1986
108536838900020079 ~1990
10853761651225678 ~1987
10853963217079278 ~1986
10854131217082638 ~1986
108541692387917199 ~1988
10854541651272478 ~1987
10854923217098478 ~1986
10855259217105198 ~1986
Exponent Prime Factor Digits Year
10855343217106878 ~1986
10855841651350478 ~1987
10856159217123198 ~1986
10856399217127998 ~1986
10856819217136398 ~1986
10856977651418638 ~1987
10857191217143838 ~1986
10857437651446238 ~1987
10857443217148878 ~1986
10857503217150078 ~1986
10858031217160638 ~1986
10858031868642498
108580511954449199 ~1988
10858079217161598 ~1986
108581936080588099 ~1989
10858559217171198 ~1986
10858637156364372910 ~1990
10858643217172878 ~1986
10858703217174078 ~1986
10858717651523038 ~1987
10858753651525198 ~1987
108591791954652239 ~1988
10859333651559998 ~1987
10859351217187038 ~1986
10859357868748578 ~1987
Exponent Prime Factor Digits Year
10859399217187998 ~1986
10859603217192078 ~1986
10859903217198078 ~1986
108600791954814239 ~1988
10860281651616878 ~1987
10860299217205998 ~1986
108603191954857439 ~1988
10860701651642078 ~1987
10860911217218238 ~1986
10861139217222798 ~1986
10861211217224238 ~1986
10861211868896898
10861271217225438 ~1986
108615671086156719 ~1988
10861577651694638 ~1987
10861583217231678 ~1986
10861859217237198 ~1986
10862261651735678 ~1987
10862441651746478 ~1987
10862591217251838 ~1986
10862681651760878 ~1987
10862723217254478 ~1986
10862759217255198 ~1986
10863239869059138 ~1987
10863623217272478 ~1986
Exponent Prime Factor Digits Year
10863623254208778310
10863683217273678 ~1986
10863899217277998 ~1986
108639431086394319 ~1988
108641217822167139 ~1990
10864157869132578 ~1987
10864559217291198 ~1986
108651911086519119 ~1988
10865243217304878 ~1986
10865279217305598 ~1986
10865759217315198 ~1986
10865801869264098 ~1987
108658871955859679 ~1988
10865999217319998 ~1986
10866137651968238 ~1987
10866161869292898 ~1987
10866227625894675310 ~1992
10866253154300792710 ~1990
10866671217333438 ~1986
10867163217343278 ~1986
108671872825468639 ~1989
10867733652063998 ~1987
10867919217358398 ~1986
108679631086796319 ~1988
10868189869455138 ~1987
1061
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25-05-04