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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
2225323356051698 ~1983
222533944506797 ~1981
2225339712108498
222554344510877 ~1981
2225557356089138 ~1983
222577144515437 ~1981
222581944516397 ~1981
2225887356141938 ~1983
222599944519997 ~1981
2226041133562478 ~1982
2226089534261378 ~1983
2226221133573278 ~1982
2226313133578798 ~1982
2226353133581198 ~1982
22263731558461119 ~1984
2226593133595598 ~1982
2226613356258098 ~1983
2226733489881278 ~1983
2226787757107598 ~1984
22270032494243379 ~1985
2227031400865598 ~1983
2227193133631598 ~1982
222722344544477 ~1981
2227273890909218 ~1984
222745144549037 ~1981
Exp. Prime Factor Digits Year
2227451579137278
2227501133650078 ~1982
222758344551677 ~1981
2227601178208098 ~1982
2227639534633378 ~1983
22276511470249679 ~1984
222776344555277 ~1981
2227831356452978 ~1983
222785944557197 ~1981
222787144557437 ~1981
2228101356496178 ~1983
22281171247745539 ~1984
222818344563677 ~1981
2228183579327598
2228351713072338 ~1984
222842344568477 ~1981
2228573133714398 ~1982
222877144575437 ~1981
2228893490356478 ~1983
2228981133738878 ~1982
2229089713308498 ~1984
2229119178329538 ~1982
222929944585997 ~1981
22293492095588079 ~1985
2229503535080738 ~1983
Exp. Prime Factor Digits Year
2229587178366978 ~1982
222959944591997 ~1981
2229697356751538 ~1983
2229767178381378 ~1982
2229769535144578 ~1983
2229779936507198 ~1984
222986344597277 ~1981
2229917178393378 ~1982
2229943758180638 ~1984
2230097133805838 ~1982
2230133312218638 ~1983
223013944602797 ~1981
2230253535260738 ~1983
2230301133818078 ~1982
2230301847514398
2230411356865778 ~1983
2230433713738578 ~1984
223043944608797 ~1981
2230541178443298 ~1982
2230577133834638 ~1982
2230783356925298 ~1983
2230861133851678 ~1982
22310511249388579 ~1984
223117144623437 ~1981
2231209535490178 ~1983
Exp. Prime Factor Digits Year
2231219535492578 ~1983
2231279178502338 ~1982
2231279401630238
22312931026394799 ~1984
2231297133877838 ~1982
2231309535514178 ~1983
2231311223131118 ~1982
22313891071066739 ~1984
2231479223147918 ~1982
2231599401687838 ~1983
2231653133899198 ~1982
2231681669504318 ~1983
2231707401707278 ~1983
2231711580244878 ~1983
2231849312458878 ~1983
2231881357100978 ~1983
223217944643597 ~1981
2232281178582498 ~1982
2232353535764738 ~1983
2232401178592098 ~1982
2232421133945278 ~1982
2232493357198898 ~1983
22325234509696479 ~1985
223255144651037 ~1981
2232583248709746310 ~1987
425
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26-05-03