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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
17090333520607999 ~1985
1709087307635678 ~1982
1709501136760098 ~1981
17098631812454799 ~1984
17099091333729039 ~1984
1709933239390638 ~1982
1709941102596478 ~1981
1709959170995918 ~1981
1709989683995618 ~1983
171001134200237 ~1980
1710139581447278 ~1983
1710179136814338 ~1981
1710199410447778 ~1982
1710337786755038 ~1983
1710383547322578 ~1983
171041934208397 ~1980
1710493273678898 ~1982
1710493786826798
1710517102631038 ~1981
171053934210797 ~1980
1710613102636798 ~1981
1710629136850338 ~1981
1710697102641838 ~1981
17108335987915519 ~1985
1710851136868098 ~1981
Exp. Prime Factor Digits Year
1710851307953198
17110977802602339 ~1985
171110334222077 ~1980
1711117102667038 ~1981
1711277410706498 ~1982
1711397102683838 ~1981
1711487136918978 ~1981
171151134230237 ~1980
1711553102693198 ~1981
1711561376543438 ~1982
1711669410800578 ~1982
171179934235997 ~1980
1711811308125998 ~1982
1711819171181918 ~1981
1711937102716238 ~1981
1711949136955938 ~1981
1712141136971298 ~1981
17121732157337999 ~1984
1712177102730638 ~1981
1712177650627278
1712311171231118 ~1981
171233934246797 ~1980
1712401376728238 ~1982
1712407171240718 ~1981
1712467308244078 ~1982
Exp. Prime Factor Digits Year
1712509513752718 ~1983
1712519137001538 ~1981
1712617102757038 ~1981
17126171609859999
1712747137019778 ~1981
1712987137038978 ~1981
1713071137045698 ~1981
171308334261677 ~1980
1713121274099378 ~1982
1713289376923598 ~1982
1713353239869438 ~1982
1713497102809838 ~1981
1713497239889598
171367134273437 ~1980
171368334273677 ~1980
171379134275837 ~1980
1713791856895518
1713883171388318 ~1981
171421134284237 ~1980
1714241137139298 ~1981
1714327171432718 ~1981
171440334288077 ~1980
1714457102867438 ~1981
1714507274321138 ~1982
1714901102894078 ~1981
Exp. Prime Factor Digits Year
17149013395503999
1714963171496318 ~1981
1715033102901998 ~1981
171503934300797 ~1980
1715047274407538 ~1982
1715117102907038 ~1981
1715167171516718 ~1981
171524334304877 ~1980
1715309240143278 ~1982
1715387446000638 ~1982
1715429240160078 ~1982
1715599308807838 ~1982
1715627308812878 ~1982
1715627960751138
1715717102943038 ~1981
1715717137257378
171572334314477 ~1980
1715729411774978 ~1982
171578334315677 ~1980
1715807308845278 ~1982
1715899583405678 ~1983
1716041137283298 ~1981
17160591544453119 ~1984
17161073020348339 ~1984
1716163274586098 ~1982
348
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25-06-22