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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
36996918361301679 ~1987
369971973994397 ~1982
36997811701899279 ~1986
3699853221991198 ~1983
3699901221994078 ~1983
3699961221997678 ~1983
3700133888031938 ~1985
370028374005677 ~1982
3700289888069378 ~1985
370052374010477 ~1982
3700993222059598 ~1983
3701069888256578 ~1985
3701213222072798 ~1983
3701267666228078 ~1985
3701701222102078 ~1983
370196374039277 ~1982
3702197518307598 ~1984
37023011110690319 ~1985
370232374046477 ~1982
370237174047437 ~1982
37024633554364499 ~1986
370262374052477 ~1982
37029138590758179 ~1987
3702947296235778 ~1984
370297174059437 ~1982
Exp. Prime Factor Digits Year
370298374059677 ~1982
3703277296262178 ~1984
370331974066397 ~1982
370364374072877 ~1982
3703853222231198 ~1983
370400374080077 ~1982
3704009888962178 ~1985
3704017592642738 ~1985
3704137222248238 ~1983
370417174083437 ~1982
37042371778033779 ~1986
370424374084877 ~1982
370427974085597 ~1982
37043691111310719 ~1985
3704737592757938 ~1985
3704741222284478 ~1983
3704761222285678 ~1983
3704819666867438 ~1985
370495174099037 ~1982
3705161296412898 ~1984
3705227296418178 ~1984
3705329518746078 ~1984
3705347296427778 ~1984
3705367889288098 ~1985
3705469815203198 ~1985
Exp. Prime Factor Digits Year
370549174109837 ~1982
3705509518771278 ~1984
3705593889342338 ~1985
370562374112477 ~1982
3705719296457538 ~1984
37057395113919839 ~1987
3705841222350478 ~1983
3705851296468098 ~1984
37062591186002899 ~1985
3706433222385998 ~1983
370667974133597 ~1982
3706723370672318 ~1984
3706891667240398 ~1985
3707111296568898 ~1984
3707239370723918 ~1984
3707351296588098 ~1984
3707351667323198
3707461222447678 ~1983
370766374153277 ~1982
3707719889852578 ~1985
370777174155437 ~1982
3707773889865538 ~1985
3707867964045438 ~1985
3708041296643298 ~1984
3708121222487278 ~1983
Exp. Prime Factor Digits Year
3708611296688898 ~1984
3708643593382898 ~1985
37088472151131279 ~1986
3708893222533598 ~1983
3708959667612638 ~1985
370909174181837 ~1982
3709091296727298
37091171483646819 ~1985
370931974186397 ~1982
3709421222565278 ~1983
3709577222574638 ~1983
3709661222579678 ~1983
370969174193837 ~1982
370970374194077 ~1982
3709733519362638 ~1984
3709949519392878 ~1984
3710009296800738 ~1984
3710167371016718 ~1984
3710593222635598 ~1983
37108271484330819 ~1985
3711017222661038 ~1983
3711047890651298 ~1985
371113174222637 ~1982
3711221222673278 ~1983
37112212078283779
587
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26-03-15