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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
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
3708611296688898 ~1984
3708643593382898 ~1985
37088472151131279 ~1986
3708893222533598 ~1983
3708959667612638 ~1985
370909174181837 ~1982
3709091296727298
37091171483646819 ~1985
Exp. Prime Factor Digits Year
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
371137174227437 ~1982
371141974228397 ~1982
37117132672433379 ~1986
37117272375505299 ~1986
3711857296948578 ~1984
371186374237277 ~1982
371195974239197 ~1982
3711959668152638
Exp. Prime Factor Digits Year
3712021222721278 ~1983
37120214380184799
371213974242797 ~1982
37121691113650719 ~1985
3712199296975938 ~1984
3712349296987938 ~1984
37123491113704719
3712369890968578 ~1985
37124171113725119 ~1985
371246374249277 ~1982
3712567594010738 ~1985
3712721222763278 ~1983
3712873222772398 ~1983
371297974259597 ~1982
3713053816871678 ~1985
371315974263197 ~1982
3713261222795678 ~1983
3713267297061378 ~1984
3713317594130738 ~1985
3713477297078178 ~1984
3713561297084898 ~1984
3713891965611678 ~1985
3713993222839598 ~1983
37143971485758819 ~1985
3714493222869598 ~1983
Exp. Prime Factor Digits Year
37145211114356319 ~1985
3714617297169378 ~1984
371473174294637 ~1982
371477974295597 ~1982
3714797520071598 ~1984
371480374296077 ~1982
3715093594414898 ~1985
3715169297213538 ~1984
3715363594458098 ~1985
3715513222930798 ~1983
371555974311197 ~1982
3715667297253378 ~1984
37161231858061519 ~1986
3716177891882498 ~1985
3716291966235678 ~1985
3716641222998478 ~1983
3716653222999198 ~1983
371675974335197 ~1982
371681974336397 ~1982
371702374340477 ~1982
371707174341437 ~1982
3717223594755698 ~1985
3717269520417678 ~1984
371729974345997 ~1982
371759974351997 ~1982
579
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25-10-26