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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
3094877185692638 ~1983
3094907557083278 ~1984
309499161899837 ~1982
309506361901277 ~1982
309524361904877 ~1982
30952431547621519
30952432228574979
3095327742878498 ~1984
3095707309570718 ~1983
3096199743087778 ~1984
3096253185775198 ~1983
3096413433497838 ~1984
30964792477183219 ~1986
3096553743172738 ~1984
3096719247737538 ~1983
3096727743214498 ~1984
3096889743253378 ~1984
309691161938237 ~1982
3096913681320878 ~1984
309707961941597 ~1982
3097097247767778 ~1983
309715161943037 ~1982
3097187141231727310 ~1987
309727161945437 ~1982
3097291309729118 ~1983
Exp. Prime Factor Digits Year
30973092415901039 ~1986
30973631982312339 ~1985
309743961948797 ~1982
30974694460355379 ~1986
309773961954797 ~1982
3097781203214433710 ~1988
3098153185889198 ~1983
3098299743591778 ~1984
309842361968477 ~1982
3098423743621538
3098597185915838 ~1983
3098633743671938 ~1984
3098687247894978 ~1983
309872361974477 ~1982
3098747247899778 ~1983
3098789247903138 ~1983
309899961979997 ~1982
3099029247922338 ~1983
309905961981197 ~1982
3099073743777538 ~1984
309917961983597 ~1982
3099193495870898 ~1984
3099293743830338 ~1984
309935961987197 ~1982
3099449743867778 ~1984
Exp. Prime Factor Digits Year
3099617185977038 ~1983
3099911247992898 ~1983
3100127248010178 ~1983
310015162003037 ~1982
310019962003997 ~1982
3100289434040478 ~1984
3100367248029378 ~1983
31006611178251199 ~1985
310073962014797 ~1982
3100843310084318 ~1983
3100913930273918 ~1985
3100939558169038 ~1984
310099162019837 ~1982
31009911550495519
310105162021037 ~1982
310118362023677 ~1982
3101207248096578 ~1983
310129162025837 ~1982
31013111240524419 ~1985
31014795520632639 ~1986
3101591248127298 ~1983
3101653496264498 ~1984
31016531240661219
3101743496278898 ~1984
310177162035437 ~1982
Exp. Prime Factor Digits Year
3101827744438498 ~1984
310183162036637 ~1982
3101897248151778 ~1983
310195162039037 ~1982
3101957744469698 ~1984
3102017186121038 ~1983
310205962041197 ~1982
3102181186130878 ~1983
3102269248181538 ~1983
3102353186141198 ~1983
3102431248194498 ~1983
3102481186148878 ~1983
310250362050077 ~1982
3102877496460338 ~1984
3102929434410078 ~1984
3103021496483378 ~1984
3103033186181998 ~1983
310321162064237 ~1982
3103241248259298 ~1983
3103381496540978 ~1984
3103553186213198 ~1983
3103579310357918 ~1983
3103579558644238
31035893227732579 ~1986
3103679248294338 ~1983
525
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26-03-15