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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.
Exponent Prime Factor Digits Year
4582787399165574799 ~1999
4583030999166061999 ~1999
458310841274986504710 ~2000
4583210639166421279 ~1999
4583264999166529999 ~1999
4583280119166560239 ~1999
4583281199166562399 ~1999
4583623799167247599 ~1999
458372113275023267910 ~2000
458379197275027518310 ~2000
4583817119167634239 ~1999
458390837275034502310 ~2000
4583921639167843279 ~1999
4584026639168053279 ~1999
4584248999168497999 ~1999
4584338519168677039 ~1999
4584455391467025724911 ~2002
4584464519168929039 ~1999
4584609239169218479 ~1999
4584634439169268879 ~1999
4584647399169294799 ~1999
4585057919170115839 ~1999
4585287239170574479 ~1999
4585442399170884799 ~1999
4585599119171198239 ~1999
Exponent Prime Factor Digits Year
4585606919171213839 ~1999
4585641599171283199 ~1999
4585648919171297839 ~1999
458569253275141551910 ~2000
4585804439171608879 ~1999
4586079839172159679 ~1999
4586217119172434239 ~1999
4586309519172619039 ~1999
458670413275202247910 ~2000
4586917319173834639 ~1999
4587259199174518399 ~1999
4587305399174610799 ~1999
4587347399174694799 ~1999
4587713039175426079 ~1999
4587846175505415404111 ~2003
4587846719175693439 ~1999
458801773275281063910 ~2000
4588092719176185439 ~1999
458818519458818519110 ~2000
4588469639176939279 ~1999
458852257275311354310 ~2000
4588667639177335279 ~1999
4588822799177645599 ~1999
458901257367121005710 ~2000
458908033275344819910 ~2000
Exponent Prime Factor Digits Year
4589407319178814639 ~1999
4589491319178982639 ~1999
4589532373212672659111 ~2002
4589546039179092079 ~1999
458969033275381419910 ~2000
458980213275388127910 ~2000
4589956439179912879 ~1999
459029047826252284710 ~2001
4590385439180770879 ~1999
4590852239181704479 ~1999
4590867839181735679 ~1999
459129901275477940710 ~2000
4591377719182755439 ~1999
4591418039182836079 ~1999
4591548239183096479 ~1999
4591668119183336239 ~1999
4591763039183526079 ~1999
4592019599184039199 ~1999
459205793275523475910 ~2000
4592144999184289999 ~1999
459220807826597452710 ~2001
459221333275532799910 ~2000
4592238839184477679 ~1999
459228101275536860710 ~2000
4592283599184567199 ~1999
Exponent Prime Factor Digits Year
4592341799184683599 ~1999
459247409367397927310 ~2000
4592639999185279999 ~1999
4592650919185301839 ~1999
4592663039185326079 ~1999
4592735999185471999 ~1999
4593232799186465599 ~1999
4593469319186938639 ~1999
4593519119187038239 ~1999
4593717918176817879911 ~2003
4593999119187998239 ~1999
4594019519188039039 ~1999
459420617367536493710 ~2000
4594324439188648879 ~1999
459434597275660758310 ~2000
4595088119190176239 ~1999
4595302439190604879 ~1999
4595451119190902239 ~1999
4595554199191108399 ~1999
459565877643392227910 ~2001
4595693999191387999 ~1999
4595767919191535839 ~1999
4595921639191843279 ~1999
4596068399192136799 ~1999
4596162599192325199 ~1999
3226
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25-07-08