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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
3434147274731778 ~1983
343435168687037 ~1982
343436368687277 ~1982
34344371030331119 ~1985
3434657206079438 ~1983
343505968701197 ~1982
3435059274804738
343525168705037 ~1982
3435281206116878 ~1983
3435521206131278 ~1983
343556368711277 ~1982
3435821206149278 ~1983
343585168717037 ~1982
3435911618463998 ~1984
3436189755961598 ~1985
3436267618528078 ~1984
343640368728077 ~1982
343657168731437 ~1982
3436813206208798 ~1983
343687168737437 ~1982
343688368737677 ~1982
3437023549923698 ~1984
34371231443591679 ~1985
3437221206233278 ~1983
3437257549961138 ~1984
Exp. Prime Factor Digits Year
3437321206239278 ~1983
343736368747277 ~1982
3437381206242878 ~1983
3437387274990978 ~1983
3437393481235038 ~1984
3437431549988978 ~1984
343763968752797 ~1982
3437641550022578 ~1984
343771168754237 ~1982
3437713550034098 ~1984
3437717206263038 ~1983
34378975156845519 ~1987
34380132406609119 ~1986
3438527894017038 ~1985
3438731275098498 ~1983
3438833206329998 ~1983
3439123550259698 ~1984
3439147343914718 ~1984
343928368785677 ~1982
3439307275144578 ~1983
343937968787597 ~1982
3439459619102638 ~1984
3439549825491778 ~1985
3439637481549198 ~1984
34396432751714419 ~1986
Exp. Prime Factor Digits Year
3439901206394078 ~1983
3439937206396238 ~1983
34400511651224499 ~1985
34400536536100719 ~1987
344024368804877 ~1982
3440413550466098 ~1984
3440419619275438 ~1984
344054368810877 ~1982
3440581206434878 ~1983
34406832202037139 ~1986
344081968816397 ~1982
3440933825823938 ~1985
3441101206466078 ~1983
3441121206467278 ~1983
3441133206467998 ~1983
3441181550588978 ~1984
3441241206474478 ~1983
3441313825915138 ~1985
3441617275329378 ~1983
3442027344202718 ~1984
344203168840637 ~1982
344222368844477 ~1982
3442273206536398 ~1983
3442379275390338 ~1983
3442409275392738 ~1983
Exp. Prime Factor Digits Year
34424091308115439
3442697206561838 ~1983
3442697481977598
34428072203396499 ~1986
344287168857437 ~1982
3442921550867378 ~1984
3443051619749198 ~1984
34431171032935119 ~1985
34432331377293219 ~1985
344333968866797 ~1982
344341168868237 ~1982
344359168871837 ~1982
3443591619846398
344390368878077 ~1982
3443927275514178 ~1983
344396368879277 ~1982
3444061551049778 ~1984
344429968885997 ~1982
344432368886477 ~1982
3444341206660478 ~1983
344485168897037 ~1982
344491168898237 ~1982
3445021165361008110 ~1988
3445231551236978 ~1984
344525968905197 ~1982
540
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25-04-13