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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
7290359145807198 ~1985
7290541437432478 ~1986
7290557583244578 ~1986
7290863145817278 ~1985
72916071312489279 ~1987
72918313062569039 ~1988
7292063145841278 ~1985
7292237115217344710 ~1989
7292381437542878 ~1986
7292381583390498
7292501437550078 ~1986
72926931020977039 ~1987
72927072479520399 ~1988
7292819145856398 ~1985
7292821437569278 ~1986
72928511312713199 ~1987
7293371145867438 ~1985
7293431145868638 ~1985
7293719145874398 ~1985
7293899145877998 ~1985
7293911145878238 ~1985
7294201437652078 ~1986
7294409583552738 ~1986
7294571583565698 ~1986
7294757583580578 ~1986
Exp. Prime Factor Digits Year
7295003145900078 ~1985
7295201437712078 ~1986
7295231145904638 ~1985
7295471145909438 ~1985
7295699145913998 ~1985
7295719729571918 ~1986
7295759583660738 ~1986
7296379729637918 ~1986
7296427729642718 ~1986
7296781437806878 ~1986
72968413356546879 ~1988
7296851145937038 ~1985
7296973437818398 ~1986
7297271583781698 ~1986
7297379583790338 ~1986
7297571145951438 ~1985
72977111167633779 ~1987
7297933437875998 ~1986
7298591145971838 ~1985
7298663145973278 ~1985
7298699145973998 ~1985
7298849583907938 ~1986
7298891145977838 ~1985
7299203145984078 ~1985
7299317437959038 ~1986
Exp. Prime Factor Digits Year
7299359145987198 ~1985
7299431145988638 ~1985
7300043146000878 ~1985
7300079584006338 ~1986
73003671314066079 ~1987
7300919584073538 ~1986
7301033438061998 ~1986
7301311730131118 ~1986
7301699146033998 ~1985
73017371168277939 ~1987
7301783153337443110 ~1990
7302311584184898 ~1986
7302731146054638 ~1985
73031472483069999 ~1988
7303451146069038 ~1985
7303511146070238 ~1985
7303843730384318 ~1986
7304057584324578 ~1986
7304123146082478 ~1985
7304183146083678 ~1985
7304621584369698 ~1986
73048511314873199 ~1987
7304879146097598 ~1985
7305323146106478 ~1985
7305383146107678 ~1985
Exp. Prime Factor Digits Year
7305757438345438 ~1986
7305923146118478 ~1985
7306217584497378 ~1986
7307387584590978 ~1986
7307477438448638 ~1986
7307483146149678 ~1985
7307551730755118 ~1986
7307621438457278 ~1986
73078491023098879 ~1987
73083071753993699 ~1987
73084013508032499 ~1988
7308611146172238 ~1985
7308683146173678 ~1985
73093211608050639 ~1987
7309391146187838 ~1985
7309529584762338 ~1986
7309619146192398 ~1985
7309697438581838 ~1986
7309811146196238 ~1985
7310351146207038 ~1985
7310411584832898 ~1986
73105791754538979 ~1987
7310843146216878 ~1985
73110112339523539 ~1988
7311119146222398 ~1985
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