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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
5900099118001998 ~1984
5900123118002478 ~1984
5900243118004878 ~1984
5900399118007998 ~1984
5900423118008478 ~1984
5900441472035298 ~1985
59006391416153379 ~1986
5900711118014238 ~1984
59007711062138799 ~1986
5900831118016638 ~1984
5900879118017598 ~1984
5901187944189938 ~1986
5901251118025038 ~1984
5901503118030078 ~1984
59018931416454339 ~1986
5902037826285198 ~1986
5902187472174978 ~1985
5902333354139998 ~1985
59023331298513279
5902601472208098 ~1985
59029032361161219 ~1987
5902931118058638 ~1984
5903039118060798 ~1984
59030411298669039 ~1986
5903257354195438 ~1985
Exp. Prime Factor Digits Year
5903321354199278 ~1985
59033291298732399 ~1986
5903411472272898 ~1985
5903413354204798 ~1985
5903441472275298 ~1985
5903483118069678 ~1984
59034892243325839 ~1987
5904161472332898 ~1985
5904323118086478 ~1984
5904347472347778 ~1985
5904397354263838 ~1985
5904517354271038 ~1985
5904863118097278 ~1984
5905099590509918 ~1986
5905297354317838 ~1985
5905381944860978 ~1986
5905439118108798 ~1984
5905499118109998 ~1984
5905643118112878 ~1984
5905897354353838 ~1985
5905943118118878 ~1984
5906003118120078 ~1984
59062611771878319 ~1987
5906279472502338 ~1985
5906297472503778 ~1985
Exp. Prime Factor Digits Year
5906723118134478 ~1984
5906753354405198 ~1985
5906759472540738 ~1985
5907061354423678 ~1985
5907073354424398 ~1985
5907259590725918 ~1986
59072591063306639
5907311118146238 ~1984
5907337354440238 ~1985
59073372835521779
59074434725954419 ~1988
5907533354451998 ~1985
5907557472604578 ~1985
5907563118151278 ~1984
5907809472624738 ~1985
5907961354477678 ~1985
5908043118160878 ~1984
5908151118163038 ~1984
59082131299806879 ~1986
5908361354501678 ~1985
5908451472676098 ~1985
5908499118169998 ~1984
59087033308873699 ~1987
5908717354523038 ~1985
5908871472709698 ~1985
Exp. Prime Factor Digits Year
5908897945423538 ~1986
5909231118184638 ~1984
5909303118186078 ~1984
5909411118188238 ~1984
59094731300084079 ~1986
5909759118195198 ~1984
59098191891142099 ~1987
5909837354590238 ~1985
59100291418406979 ~1986
5910323118206478 ~1984
5910337354620238 ~1985
5910953354657198 ~1985
5911091118221838 ~1984
5911463118229278 ~1984
59117092837620339 ~1987
5912017354721038 ~1985
5912189472975138 ~1985
59122392837874739 ~1987
5912531118250638 ~1984
5912603118252078 ~1984
5912833354769998 ~1985
5913197354791838 ~1985
5913223591322318 ~1986
5913253354795198 ~1985
5913371118267438 ~1984
730
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24-10-27