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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
30476831219073219 ~1985
3047773670510078 ~1984
30479113962284319 ~1986
304796360959277 ~1982
3048053914415918 ~1985
3048163304816318 ~1983
304835960967197 ~1982
3048359548704638
3048497731639298 ~1984
304859960971997 ~1982
3048601182916078 ~1983
304865960973197 ~1982
3048761243900898 ~1983
304897160979437 ~1982
3049003731760738 ~1984
3049009670781998 ~1984
304901960980397 ~1982
3049073182944398 ~1983
30490991036693679 ~1985
304933160986637 ~1982
3049349243947938 ~1983
304939160987837 ~1982
3049421182965278 ~1983
3049427731862498 ~1984
304946360989277 ~1982
Exp. Prime Factor Digits Year
3049729670940398 ~1984
304975160995037 ~1982
3049801182988078 ~1983
304988360997677 ~1982
3049927487988338 ~1984
3049967243997378 ~1983
3050083305008318 ~1983
3050213183012798 ~1983
3050261183015678 ~1983
3050263305026318 ~1983
3050381183022878 ~1983
3050779305077918 ~1983
30508991464431539 ~1985
305095161019037 ~1982
305101161020237 ~1982
3051173427164238 ~1984
3051259549226638 ~1984
3051707793443838 ~1984
3051833427256638 ~1984
3052037244162978 ~1983
305207961041597 ~1982
305213961042797 ~1982
30522131648195039 ~1985
3052267488362738 ~1984
3052297183137838 ~1983
Exp. Prime Factor Digits Year
305240361048077 ~1982
30524472686153379 ~1986
3052451244196098 ~1983
305249961049997 ~1982
305263161052637 ~1982
3052729732654978 ~1984
3053009427421278 ~1984
3053119305311918 ~1983
3053231793840078 ~1984
3053291244263298 ~1983
3053317915995118 ~1985
305333961066797 ~1982
305378361075677 ~1982
3053789244303138 ~1983
3053789732909378
3053933732943938 ~1984
3053951244316098 ~1983
3053959305395918 ~1983
3053993916197918 ~1985
3054047549728478 ~1984
3054437244354978 ~1983
30544371160686079
3054553183273198 ~1983
3054637183278238 ~1983
305489961097997 ~1982
Exp. Prime Factor Digits Year
305504361100877 ~1982
30551771466484979 ~1985
305525961105197 ~1982
3055363733287138 ~1984
3055457427763998 ~1984
3055477488876338 ~1984
3055477916643118
305558361111677 ~1982
3055649244451938 ~1983
305591961118397 ~1982
3055961183357678 ~1983
305605161121037 ~1982
3056051244484098
3056213427869838 ~1984
3056213733491138
3056231244498498 ~1983
3056327733518498 ~1984
3056489244519138 ~1983
305651961130397 ~1982
3056561244524898 ~1983
305663961132797 ~1982
3056813183408798 ~1983
3056887489101938 ~1984
3056897183413838 ~1983
30569813118120639 ~1986
522
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26-05-03