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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
244751948950397 ~1981
2447527244752718 ~1983
2447531783209938 ~1984
2447579195806338 ~1982
2447831636436078 ~1984
2447897146873838 ~1982
2447953587508738 ~1984
2448079440654238 ~1983
2448133538589278 ~1983
2448161146889678 ~1982
2448241391718578 ~1983
2448269587584578 ~1984
2448427832465198 ~1984
244843148968637 ~1981
244844348968877 ~1981
24484511175256499 ~1984
244879148975837 ~1981
244885148977037 ~1981
2448937587744898 ~1984
2449001146940078 ~1982
2449061146943678 ~1982
244909148981837 ~1981
24490911371490979
2449099440837838 ~1983
24491691322551279 ~1984
Exp. Prime Factor Digits Year
24491771175604979 ~1984
24493031028707279 ~1984
24494391763596099 ~1985
2449483244948318 ~1983
2449663587919138 ~1984
2449789587949378 ~1984
2449793342971038 ~1983
244982348996477 ~1981
2449907195992578 ~1982
2449919440985438 ~1983
2450047392007538 ~1983
2450083245008318 ~1983
2450131245013118 ~1983
245021949004397 ~1981
2450341147020478 ~1982
2450353147021198 ~1982
2450381147022878 ~1982
245053149010637 ~1981
245066349013277 ~1981
2450809735242718 ~1984
24508314313462579 ~1986
2450911392145778 ~1983
245095149019037 ~1981
24509892892167039 ~1985
24510791568690579 ~1985
Exp. Prime Factor Digits Year
2451259245125918 ~1983
24513312157171299 ~1985
24513314118236099
2451377147082638 ~1982
245141949028397 ~1981
245153949030797 ~1981
2451671196133698 ~1982
2451721147103278 ~1982
2451847441332478 ~1983
2451919245191918 ~1983
2451937392309938 ~1983
2451947196155778 ~1982
24520134462663679 ~1986
24521811765570339 ~1985
24522311177070899 ~1984
2452259196180738 ~1982
24522593384117439
2452313147138798 ~1982
2452493343349038 ~1983
2452531245253118 ~1983
2452759588662178 ~1984
2452783245278318 ~1983
2452963392474098 ~1983
2453027196242178 ~1982
245303949060797 ~1981
Exp. Prime Factor Digits Year
245305149061037 ~1981
2453173735951918 ~1984
24531831030336879 ~1984
2453291196263298 ~1982
2453293539724478 ~1983
2453453343483438 ~1983
245345949069197 ~1981
2453497147209838 ~1982
245351949070397 ~1981
245354349070877 ~1981
2453653147219198 ~1982
24537137017619199 ~1986
2453821147229278 ~1982
2453861147231678 ~1982
2454079981631618 ~1984
2454149196331938 ~1982
24542291325283679 ~1984
245425149085037 ~1981
2454343589042338 ~1984
245435949087197 ~1981
2454407196352578 ~1982
2454437147266238 ~1982
245450349090077 ~1981
2454523245452318 ~1983
245467149093437 ~1981
449
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26-02-08