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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
6568469525477538 ~1986
6568643131372878 ~1984
6568811525504898 ~1986
6568841394130478 ~1985
6569219131384398 ~1984
6569243131384878 ~1984
6569267525541378 ~1986
65695813022007279 ~1988
6569723131394478 ~1984
6569729525578338 ~1986
65700891971026719 ~1987
6570191525615298 ~1986
6570359131407198 ~1984
6570437919861198 ~1986
6570527525642178 ~1986
6570677525654178 ~1986
6570749919904878 ~1986
6570869525669538 ~1986
65711891971356719 ~1987
6571223131424478 ~1984
6571319131426398 ~1984
6571421394285278 ~1985
6571703131434078 ~1984
6571793394307598 ~1985
6571871131437438 ~1984
Exp. Prime Factor Digits Year
6572003131440078 ~1984
6572099131441998 ~1984
6572099525767938
6572243131444878 ~1984
6572459131449198 ~1984
6572459525796738
6572543131450878 ~1984
6572857394371438 ~1985
6572921525833698 ~1986
6572927525834178 ~1986
6573173394390398 ~1985
6573197209027664710 ~1990
6573419131468398 ~1984
6573521525881698 ~1986
6573659131473198 ~1984
6573689525895138 ~1986
6573877394432638 ~1985
65739071183303279 ~1987
6573911525912898 ~1986
6573913394434798 ~1985
6574037525922978 ~1986
6574081394444878 ~1985
6574157394449438 ~1985
6574531657453118 ~1986
6574559131491198 ~1984
Exp. Prime Factor Digits Year
6574583131491678 ~1984
65747871183461679 ~1987
6574943131498878 ~1984
65751131052018099 ~1986
6575321394519278 ~1985
6575423131508478 ~1984
6575483131509678 ~1984
6575537526042978 ~1986
6575819131516398 ~1984
6575873394552398 ~1985
6575879131517598 ~1984
6575981394558878 ~1985
6575981103900499910
6576067657606718 ~1986
6576077394564638 ~1985
6576313394578798 ~1985
65765992104511699 ~1987
65766131972983919 ~1987
6576863131537278 ~1984
6577331411740920710 ~1990
6577523131550478 ~1984
6577583131551678 ~1984
65776613157277299 ~1988
65776615262128819
6577799131555998 ~1984
Exp. Prime Factor Digits Year
6577871131557438 ~1984
6577943131558878 ~1984
6578003131560078 ~1984
6578051131561038 ~1984
6578189526255138 ~1986
6578263657826318 ~1986
6578333394699998 ~1985
6578399131567998 ~1984
6578513394710798 ~1985
65788632236813439 ~1987
6578927526314178 ~1986
6578963131579278 ~1984
65790771973723119 ~1987
6579253394755198 ~1985
6579701394782078 ~1985
65798992763557599 ~1987
6579959131599198 ~1984
6579961394797678 ~1985
65800692632027619 ~1987
6580661394839678 ~1985
6580991131619838 ~1984
6581009526480738 ~1986
6581051131621038 ~1984
6581137394868238 ~1985
6581291526503298 ~1986
800
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25-05-04