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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
7021439140428798 ~1984
7021577421294638 ~1986
7021657421299438 ~1986
7022051140441038 ~1984
7022237983113198 ~1987
70223471264022479 ~1987
7022651140453038 ~1984
7022857421371438 ~1986
7023011140460238 ~1984
7023221421393278 ~1986
7023619198066055910 ~1990
7023637421418238 ~1986
7023683140473678 ~1984
7023857561908578 ~1986
7024163140483278 ~1984
70242171685812099 ~1987
70243091545347999 ~1987
7024313421458798 ~1986
7024463140489278 ~1984
7025059702505918 ~1986
70251133231551999 ~1988
7025563702556318 ~1986
70255631686135139
70256398009228479 ~1989
7025723140514478 ~1984
Exp. Prime Factor Digits Year
7025891140517838 ~1984
7026203140524078 ~1984
7026233983672638 ~1987
7026343231869319110 ~1990
7026443140528878 ~1984
7026493421589598 ~1986
7026821562145698 ~1986
7026857421611438 ~1986
7026919702691918 ~1986
7027469562197538 ~1986
7027723702772318 ~1986
70279211546142639 ~1987
7027931562234498 ~1986
7027991562239298 ~1986
7028033421681998 ~1986
7028057983927998 ~1987
7028299702829918 ~1986
7028381562270498 ~1986
7028663140573278 ~1984
7028677421720638 ~1986
7028711140574238 ~1984
7028891140577838 ~1984
7028921562313698 ~1986
7029013421740798 ~1986
7029023140580478 ~1984
Exp. Prime Factor Digits Year
70291012108730319 ~1987
7029181421750878 ~1986
7029359562348738 ~1986
7029521421771278 ~1986
7029611562368898 ~1986
7029767562381378 ~1986
7029779140595598 ~1984
7030099703009918 ~1986
7030379140607598 ~1984
7030403140608078 ~1984
70304531546699679 ~1987
70306871265523679 ~1987
7030757421845438 ~1986
7030811140616238 ~1984
7031191703119118 ~1986
7031471140629438 ~1984
7032131140642638 ~1984
7032359140647198 ~1984
70323671265826079 ~1987
7032653421959198 ~1986
7032677562614178 ~1986
7032947562635778 ~1986
7032959562636738 ~1986
7032973421978398 ~1986
70329731547254079
Exp. Prime Factor Digits Year
7033031562642498 ~1986
7033199140663998 ~1984
7033303703330318 ~1986
7033357422001438 ~1986
7033421562673698 ~1986
7033451140669038 ~1984
7033501422010078 ~1986
7033513422010798 ~1986
7033517562681378 ~1986
70335491547380799 ~1987
7033583140671678 ~1984
7033633422017998 ~1986
7033679140673598 ~1984
7033721562697698 ~1986
7034063140681278 ~1984
7034099140681998 ~1984
7034381422062878 ~1986
7034497116772650310 ~1989
7034519140690398 ~1984
7034603140692078 ~1984
70348871688372899 ~1987
7035659140713198 ~1984
7035683140713678 ~1984
7036259140725198 ~1984
7036303703630318 ~1986
829
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25-04-13