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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
331871966374397 ~1982
33187934712686079 ~1986
3318929796542978 ~1985
3319067597432078 ~1984
3319157265532578 ~1983
3319619597531438 ~1984
331970366394077 ~1982
331976366395277 ~1982
3319781199186878 ~1983
3319807331980718 ~1984
331991966398397 ~1982
331993166398637 ~1982
3320189464826478 ~1984
3320197199211838 ~1983
3320201265616098 ~1983
33203113984373219 ~1986
3320341199220478 ~1983
3320357199221438 ~1983
332051966410397 ~1982
332059166411837 ~1982
3320623332062318 ~1984
332069966413997 ~1982
33207531859621699 ~1985
3320827332082718 ~1984
3320909464927278 ~1984
Exp. Prime Factor Digits Year
3321089265687138 ~1983
33211791062777299 ~1985
3321233199273998 ~1983
33214032723550479 ~1986
3321497199289838 ~1983
3321517199291038 ~1983
3321761199305678 ~1983
3321761265740898
332191166438237 ~1982
3321917265753378 ~1983
3321937199316238 ~1983
3322013199320798 ~1983
332204366440877 ~1982
3322129797310978 ~1985
3322273730900078 ~1984
3322337265786978 ~1983
3322337996701118
332243966448797 ~1982
3322513199350798 ~1983
3322513531602098
332252366450477 ~1982
3322721199363278 ~1983
3322721265817698
3322877199372638 ~1983
3322889265831138 ~1983
Exp. Prime Factor Digits Year
33228892591853439
3322897199373838 ~1983
3322931265834498 ~1983
3323093199385598 ~1983
3323191531710578 ~1984
3323833531813298 ~1984
332414366482877 ~1982
3324179265934338 ~1983
332420366484077 ~1982
332431166486237 ~1982
33243111595669299
332432366486477 ~1982
33243232459999039
332455166491037 ~1982
332459966491997 ~1982
3324611598429998 ~1984
33247031130399039 ~1985
3324793731454478 ~1984
3325027332502718 ~1984
3325067266005378 ~1983
3325177532028338 ~1984
3325351532056178 ~1984
3325519332551918 ~1984
332573966514797 ~1982
3325739598633038
Exp. Prime Factor Digits Year
3325831532132978 ~1984
3325867598656078 ~1984
332605166521037 ~1982
3326111266088898 ~1983
3326129465658078 ~1984
332617166523437 ~1982
3326201199572078 ~1983
3326291266103298 ~1983
3326377997913118 ~1985
332639966527997 ~1982
3326443332644318 ~1984
3326581532252978 ~1984
3326593798382338 ~1985
3326629143045047110 ~1988
3326941998082318 ~1985
3327091332709118 ~1984
3327193199631598 ~1983
3327283798547938 ~1985
332737166547437 ~1982
3327377266190178 ~1983
3327607598969278 ~1984
3327967332796718 ~1984
33280491264658639 ~1985
33281391664069519 ~1985
33282199385577599 ~1987
527
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25-04-06