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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
7288691145773838 ~1985
7288763145775278 ~1985
72888431166214899 ~1987
7289099145781998 ~1985
7289279145785598 ~1985
7289339145786798 ~1985
7289363145787278 ~1985
7289519145790398 ~1985
7289599153081579110 ~1990
7289669583173538 ~1986
7290191145803838 ~1985
7290359145807198 ~1985
7290541437432478 ~1986
7290557583244578 ~1986
7290863145817278 ~1985
7290971583277698 ~1986
7291121583289698 ~1986
72916071312489279 ~1987
72918313062569039 ~1988
7292063145841278 ~1985
7292237115217344710 ~1989
7292381437542878 ~1986
7292381583390498
72924011604328239 ~1987
7292501437550078 ~1986
Exp. Prime Factor Digits Year
72926931020977039 ~1987
72927072479520399 ~1988
7292819145856398 ~1985
7292821437569278 ~1986
72928511312713199 ~1987
7293371145867438 ~1985
7293431145868638 ~1985
7293497583479778 ~1986
7293719145874398 ~1985
7293899145877998 ~1985
7293911145878238 ~1985
7294201437652078 ~1986
7294409583552738 ~1986
7294571583565698 ~1986
7294757583580578 ~1986
7295003145900078 ~1985
7295201437712078 ~1986
7295231145904638 ~1985
7295471145909438 ~1985
7295471583637698
7295699145913998 ~1985
7295719729571918 ~1986
7295759583660738 ~1986
7296127729612718 ~1986
7296379729637918 ~1986
Exp. Prime Factor Digits Year
7296427729642718 ~1986
7296781437806878 ~1986
72968413356546879 ~1988
7296851145937038 ~1985
7296973437818398 ~1986
7297127583770178 ~1986
7297271583781698 ~1986
7297379583790338 ~1986
7297571145951438 ~1985
72977111167633779 ~1987
7297933437875998 ~1986
7298177583854178 ~1986
7298231583858498 ~1986
7298591145971838 ~1985
7298663145973278 ~1985
7298699145973998 ~1985
7298849583907938 ~1986
7298891145977838 ~1985
7299203145984078 ~1985
7299317437959038 ~1986
72993172189795119
7299359145987198 ~1985
7299431145988638 ~1985
7299779583982338 ~1986
7300043146000878 ~1985
Exp. Prime Factor Digits Year
7300079584006338 ~1986
73003671314066079 ~1987
7300919584073538 ~1986
7300967584077378 ~1986
7301033438061998 ~1986
7301311730131118 ~1986
7301699146033998 ~1985
73017371168277939 ~1987
7301783153337443110 ~1990
7301831584146498 ~1986
7302311584184898 ~1986
7302587584206978 ~1986
7302731146054638 ~1985
73031472483069999 ~1988
7303301584264098 ~1986
7303451146069038 ~1985
7303511146070238 ~1985
7303843730384318 ~1986
7304057584324578 ~1986
7304123146082478 ~1985
7304183146083678 ~1985
7304621584369698 ~1986
73048511314873199 ~1987
7304879146097598 ~1985
7305323146106478 ~1985
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25-04-13