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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
4580413274824798 ~1984
458090391618077 ~1983
45809413298277539 ~1987
45811131099467139 ~1986
4581277733004338 ~1985
458143191628637 ~1983
4581581274894878 ~1984
4581637274898238 ~1984
4581677274900638 ~1984
458171991634397 ~1983
4582337274940238 ~1984
4582421366593698 ~1985
458246391649277 ~1983
45825171374755119 ~1986
45826315590809839 ~1987
458285991657197 ~1983
4582889366631138 ~1985
4583057366644578 ~1985
4583057641627998
458306391661277 ~1983
4583309366664738 ~1985
458347191669437 ~1983
4583801275028078 ~1984
45838013667040819
4583861275031678 ~1984
Exp. Prime Factor Digits Year
4583941275036478 ~1984
45839412200291699
458417991683597 ~1983
4584179366734338
4584247458424718 ~1985
458432391686477 ~1983
4584389366751138 ~1985
45843891742067839
4584403458440318 ~1985
4584527825214878 ~1985
45846911833876419 ~1986
45847734676468479 ~1987
4584823202649176710 ~1989
4584901275094078 ~1984
4584913275094798 ~1984
458504391700877 ~1983
45852491375574719 ~1986
45853311192186079 ~1986
4585387825369678 ~1985
4585439366835138 ~1985
4585459458545918 ~1985
458546391709277 ~1983
4585697366855778 ~1985
4585769642007678 ~1985
4585793642011038 ~1985
Exp. Prime Factor Digits Year
45858111192310879 ~1986
4585831458583118 ~1985
4585877275152638 ~1984
458594391718877 ~1983
458599191719837 ~1983
4586297275177838 ~1984
458633991726797 ~1983
4586347825542478 ~1985
4586831366946498 ~1985
4586987825657678 ~1985
4587019458701918 ~1985
45870674862291039 ~1987
4587137642199198 ~1985
4587211458721118 ~1985
4587269366981538 ~1985
458743191748637 ~1983
4587437366994978 ~1985
458749191749837 ~1983
4587647367011778 ~1985
4587703458770318 ~1985
45877571101061699 ~1986
4587881367030498 ~1985
4587967458796718 ~1985
458827191765437 ~1983
45883572110644239 ~1986
Exp. Prime Factor Digits Year
4588483734157298 ~1985
4588621275317278 ~1984
45886215139255539
4588819458881918 ~1985
4588957275337438 ~1984
45890831835633219 ~1986
4589131826043598 ~1985
458915991783197 ~1983
45891595506990819
4589161275349678 ~1984
458921991784397 ~1983
4589441275366478 ~1984
4589633642548638 ~1985
4589681367174498 ~1985
45897913029262079 ~1987
4589933275395998 ~1984
459025191805037 ~1983
4590281275416878 ~1984
4590373275422398 ~1984
4590437275426238 ~1984
4590557275433438 ~1984
459056391811277 ~1983
4590877275452638 ~1984
4590877734540338
45911213581074399 ~1987
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26-03-15