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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
3439637481549198 ~1984
34396432751714419 ~1986
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 ~1984
3442027344202718 ~1984
344203168840637 ~1982
344222368844477 ~1982
3442273206536398 ~1983
Exp. Prime Factor Digits Year
3442379275390338 ~1984
3442409275392738 ~1984
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 ~1984
344396368879277 ~1982
3444061551049778 ~1984
344429968885997 ~1982
344432368886477 ~1982
3444341206660478 ~1983
344485168897037 ~1982
344491168898237 ~1982
3445021165361008110 ~1988
Exp. Prime Factor Digits Year
3445231551236978 ~1984
344525968905197 ~1982
34452831929358499 ~1986
3445459344545918 ~1984
3445613482385838 ~1984
344569168913837 ~1982
3445691620224398
3445931895942078 ~1985
344594368918877 ~1982
3446293827110338 ~1985
3446609275728738 ~1984
344681968936397 ~1982
344693968938797 ~1982
3446959827270178 ~1985
344701168940237 ~1982
3447013827283138 ~1985
344707168941437 ~1982
3447091344709118 ~1984
344713168942637 ~1982
34472031723601519 ~1985
3447251275780098 ~1984
3447281275782498 ~1984
3447373206842398 ~1983
3447377206842638 ~1983
3447377275790178
Exp. Prime Factor Digits Year
3447419275793538 ~1984
344744368948877 ~1982
34475032758002419 ~1986
3447533206851998 ~1983
34476019032714639 ~1987
34476796619543699 ~1987
3447749275819938 ~1984
344779168955837 ~1982
344797168959437 ~1982
3447971300663071310
3448001206880078 ~1983
3448079275846338 ~1984
344816368963277 ~1982
3448189758601598 ~1985
34483272000029679 ~1986
3448439275875138 ~1984
34485074758939679 ~1987
3448573206914398 ~1983
3448673206920398 ~1983
3448721275897698 ~1984
3448771344877118 ~1984
344879968975997 ~1982
3448831551812978 ~1984
344885968977197 ~1982
344887168977437 ~1982
558
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26-01-11