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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
307086592456692739
30709391614187838 ~1989
307102371842614239 ~1991
30711071614221438 ~1989
30711143614222878 ~1989
307111811842670879 ~1991
30711431614228638 ~1989
30711491614229838 ~1989
30712631614252638 ~1989
30712763614255278 ~1989
307129075528323279 ~1992
30713183614263678 ~1989
30713723614274478 ~1989
30714179614283598 ~1989
30714263614285278 ~1989
30714479614289598 ~1989
30714779614295598 ~1989
307148812457190499 ~1991
30715403614308078 ~1989
307159811842958879 ~1991
30716459614329198 ~1989
30717083614341678 ~1989
307173897372173379 ~1992
30718199614363998 ~1989
307183571843101439 ~1991
Exponent Prime Factor Digits Year
30718739614374798 ~1989
30719063614381278 ~1989
30719963614399278 ~1989
30720143614402878 ~1989
30720719614414398 ~1989
30720803614416078 ~1989
30720863614417278 ~1989
30721391614427838 ~1989
30722171614443438 ~1989
30722579614451598 ~1989
30722771614455438 ~1989
307231811843390879 ~1991
307231819216954319
30723611614472238 ~1989
307237611843425679 ~1991
307237873072378719 ~1991
30723971614479438 ~1989
30724103614482078 ~1989
30724679614493598 ~1989
30725339614506798 ~1989
30725713141338279910 ~1993
30725939614518798 ~1989
30725963614519278 ~1989
30726383614527678 ~1989
30726431614528638 ~1989
Exponent Prime Factor Digits Year
30726491614529838 ~1989
30728039614560798 ~1989
30728123614562478 ~1989
307284971843709839 ~1991
30728699614573998 ~1989
307289392458315139 ~1991
30729899614597998 ~1989
30730379614607598 ~1989
30730643614612878 ~1989
30731339614626798 ~1989
30731999614639998 ~1989
30732371614647438 ~1989
30732479614649598 ~1989
307326774302574799 ~1992
30732683614653678 ~1989
30732983614659678 ~1989
30733343614666878 ~1989
30733751614675038 ~1989
30733919614678398 ~1989
307344371844066239 ~1991
30734579614691598 ~1989
30734783614695678 ~1989
30734999614699998 ~1989
30735011614700238 ~1989
30735623614712478 ~1989
Exponent Prime Factor Digits Year
30736523614730478 ~1989
30736571614731438 ~1989
30736703153683515110 ~1993
30736883614737678 ~1989
30737123614742478 ~1989
30737159614743198 ~1989
30737543614750878 ~1989
30737951614759038 ~1989
30738503614770078 ~1989
30738563614771278 ~1989
30739031614780638 ~1989
307391411844348479 ~1991
30739823614796478 ~1989
30740219614804398 ~1989
30741251614825038 ~1989
30741671614833438 ~1989
30741803614836078 ~1989
307419112459352899 ~1991
30742031614840638 ~1989
30742259614845198 ~1989
30742571614851438 ~1989
307426312459410499 ~1991
307430931844585599 ~1991
30743231614864638 ~1989
30743243614864878 ~1989
1735
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25-03-23