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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
418621183724237 ~1983
41862111758208639
4186691334935298 ~1984
4186877251212638 ~1984
4186907334952578 ~1984
41869071004857699
4187009586181278 ~1985
4187059753670638 ~1985
4187147753686478 ~1985
418730383746077 ~1983
418747183749437 ~1983
4187501335000098 ~1984
418759183751837 ~1983
4187591335007298
41875912345050979
41875971005023299 ~1985
418766383753277 ~1983
4187707418770718 ~1984
4187819753807438 ~1985
4188259418825918 ~1984
4188313251298798 ~1984
41884131256523919 ~1986
4188473586386238 ~1985
418849183769837 ~1983
41886171005268099 ~1985
Exp. Prime Factor Digits Year
4188619418861918 ~1984
41888691340438099 ~1986
418901983780397 ~1983
4189121251347278 ~1984
4189183418918318 ~1984
41892615697394979 ~1987
4189351670296178 ~1985
4189417670306738 ~1985
4189477452463516110 ~1989
418958383791677 ~1983
41896512011032499 ~1986
4189771418977118 ~1984
4189793251387598 ~1984
4189807670369138 ~1985
41900593687251939 ~1987
4190107670417138 ~1985
419018383803677 ~1983
4190701670512178 ~1985
4190777335262178 ~1984
4190969586735678 ~1985
41909691341110099
4191043419104318 ~1984
4191157251469438 ~1984
419117983823597 ~1983
4191193251471598 ~1984
Exp. Prime Factor Digits Year
41912271005894499 ~1985
4191259754426638 ~1985
419131183826237 ~1983
41913531005924739 ~1985
4191373251482398 ~1984
4191491335319298 ~1984
41918292263587679 ~1986
41918298719004339
4191991670718578 ~1985
4192169586903678 ~1985
419227183845437 ~1983
4192277335382178 ~1984
419234383846877 ~1983
4192637335410978 ~1984
419294383858877 ~1983
4192997587019598 ~1985
4193191754774398 ~1985
419341183868237 ~1983
4193507754831278 ~1985
4193513251610798 ~1984
419353183870637 ~1983
4193789335503138 ~1984
4193789587130478
4193909587147278 ~1985
419393983878797 ~1983
Exp. Prime Factor Digits Year
419414383882877 ~1983
4194167335533378 ~1984
4194217671074738 ~1985
4194277251656638 ~1984
4194389587214478 ~1985
4194857335588578 ~1984
419486383897277 ~1983
4194907419490718 ~1984
4195063419506318 ~1984
41951291006830979 ~1985
4195249922954798 ~1985
419546383909277 ~1983
4195501251730078 ~1984
419587183917437 ~1983
419588383917677 ~1983
4196011755281998 ~1985
41962671091029439 ~1985
419630383926077 ~1983
41963891678555619 ~1986
4196407419640718 ~1984
4196567335725378 ~1984
4196581251794878 ~1984
4196747335739778 ~1984
4196939335755138 ~1984
419699983939997 ~1983
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25-05-04