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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
11088078071774092491311 ~2004
1108857131221771426310 ~2002
1108863851221772770310 ~2002
11088800111108880011111 ~2003
1108890479221778095910 ~2002
1108890953665334571910 ~2003
1108901999221780399910 ~2002
1108902917665341750310 ~2003
11089096637318803775911 ~2005
1108914431221782886310 ~2002
1108925159221785031910 ~2002
11089352597097185657711 ~2005
1108949843221789968710 ~2002
1108974613665384767910 ~2003
1108974983221794996710 ~2002
1109011199887208959310 ~2003
11090408331552657166311 ~2004
1109193119221838623910 ~2002
1109205197665523118310 ~2003
1109213519221842703910 ~2002
1109223551221844710310 ~2002
11092380791109238079111 ~2003
1109254261665552556710 ~2003
11093399533328019859111 ~2005
1109340119221868023910 ~2002
Exponent Prime Factor Digits Year
1109486303221897260710 ~2002
1109496299221899259910 ~2002
1109535683221907136710 ~2002
1109542223221908444710 ~2002
1109621963221924392710 ~2002
1109646311221929262310 ~2002
1109652419221930483910 ~2002
11096681114660606066311 ~2005
11096696471997405364711 ~2004
1109704781887763824910 ~2003
1109712011221942402310 ~2002
1109721989887777591310 ~2003
1109744939221948987910 ~2002
1109774051221954810310 ~2002
1109846723221969344710 ~2002
1109849957665909974310 ~2003
1109869451221973890310 ~2002
1109930219221986043910 ~2002
1109989883221997976710 ~2002
1109994443221998888710 ~2002
1110000071222000014310 ~2002
1110020581666012348710 ~2003
1110020819222004163910 ~2002
11100587534440235012111 ~2005
11100935591110093559111 ~2003
Exponent Prime Factor Digits Year
1110104111222020822310 ~2002
1110113111222022622310 ~2002
11101308497770915943111 ~2005
1110170783222034156710 ~2002
1110235211222047042310 ~2002
11102352536217317416911 ~2005
1110245243222049048710 ~2002
11102547732442560500711 ~2004
1110317711222063542310 ~2002
1110345611222069122310 ~2002
1110346271222069254310 ~2002
1110366661666219996710 ~2003
11103975079993577563111 ~2006
1110435493666261295910 ~2003
1110460583222092116710 ~2002
1110483973666290383910 ~2003
1110515039222103007910 ~2002
11105318411776850945711 ~2004
1110556619222111323910 ~2002
1110574859222114971910 ~2002
11105766531554807314311 ~2004
1110603479222120695910 ~2002
1110604331222120866310 ~2002
1110605351222121070310 ~2002
1110654563222130912710 ~2002
Exponent Prime Factor Digits Year
1110682019222136403910 ~2002
1110777023222155404710 ~2002
11107779711999400347911 ~2004
1110801113666480667910 ~2003
1110822001666493200710 ~2003
1110879923222175984710 ~2002
11109252134443700852111 ~2005
1110946751888757400910 ~2003
1110956219222191243910 ~2002
11109720013332916003111 ~2005
1110991331222198266310 ~2002
1111032959222206591910 ~2002
1111074599888859679310 ~2003
1111077263222215452710 ~2002
1111292999222258599910 ~2002
11112983331555817666311 ~2004
11113391837334838607911 ~2005
1111349171222269834310 ~2002
1111380503222276100710 ~2002
1111397459222279491910 ~2002
1111489343222297868710 ~2002
1111508351222301670310 ~2002
1111549717666929830310 ~2003
1111580321666948192710 ~2003
1111582943222316588710 ~2002
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