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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
31966912301617539
3196819575427438 ~1984
3196849703306798 ~1984
3196913191814798 ~1983
31971411023085139 ~1985
3197167319716718 ~1983
319721963944397 ~1982
319739963947997 ~1982
31973994092670739
3197401342761387310 ~1988
3197587767420898 ~1984
319772363954477 ~1982
319778363955677 ~1982
3197837191870238 ~1983
3197849255827938 ~1983
319811963962397 ~1982
3198269255861538 ~1983
3198269447757678
3198617191917038 ~1983
319873163974637 ~1982
3198827575788878 ~1984
3198913191934798 ~1983
3198931319893118 ~1983
3199037191942238 ~1983
3199153191949198 ~1983
Exp. Prime Factor Digits Year
31993032047553939 ~1985
3199319255945538 ~1983
319937963987597 ~1982
3199411319941118 ~1983
3199571255965698 ~1983
3199577255966178 ~1983
3199613191976798 ~1983
3199837191990238 ~1983
3199951319995118 ~1983
3200027256002178 ~1983
3200137192008238 ~1983
3200339256027138 ~1983
3200557192033438 ~1983
3200581192034878 ~1983
3200597768143298 ~1984
320066364013277 ~1982
32006772496528079 ~1986
3200789256063138 ~1983
3200837256066978 ~1983
32012291536589939 ~1985
32014211472653679 ~1985
3201427512228338 ~1984
3201431576257598 ~1984
3201619768388578 ~1984
3201697192101838 ~1983
Exp. Prime Factor Digits Year
3201727512276338 ~1984
3201817192109038 ~1983
32018332561466419 ~1986
3201857448259998 ~1984
32019011536912499 ~1985
32019118517083279 ~1987
3201911169060900910
320192364038477 ~1982
320198364039677 ~1982
3202049448286878 ~1984
320231964046397 ~1982
3202723320272318 ~1983
320288364057677 ~1982
3202993704658478 ~1984
320309964061997 ~1982
3203099576557838
3203111256248898 ~1983
320333964066797 ~1982
3203341512534578 ~1984
3203407320340718 ~1983
320341164068237 ~1982
3203461192207678 ~1983
3203461704761438
320363964072797 ~1982
3203657448511998 ~1984
Exp. Prime Factor Digits Year
3203729768894978 ~1984
320401164080237 ~1982
3204127320412718 ~1983
320420364084077 ~1982
32042091025346899 ~1985
320425164085037 ~1982
3204283320428318 ~1983
3204373192262398 ~1983
3204373769049538
320441964088397 ~1982
3204463320446318 ~1983
320461164092237 ~1982
3204871320487118 ~1983
3204917448688398 ~1984
3205217448730398 ~1984
32052191282087619 ~1985
3205589256447138 ~1983
3205903769416738 ~1984
3206171577110798 ~1984
3206249256499938 ~1983
3206267833629438 ~1985
3206297192377838 ~1983
3206417256513378 ~1983
3206633448928638 ~1984
3206653513064498 ~1984
517
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25-05-04