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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
1582938941949763364710 ~2004
1582976159316595231910 ~2003
1583013241949807944710 ~2004
1583037551316607510310 ~2003
1583066399316613279910 ~2003
1583121563316624312710 ~2003
1583130911316626182310 ~2003
15831425511266514040911 ~2004
15831532932533045268911 ~2005
1583183363316636672710 ~2003
1583226839316645367910 ~2003
1583237003316647400710 ~2003
1583239991316647998310 ~2003
15833659972216712395911 ~2005
1583367053950020231910 ~2004
1583459231316691846310 ~2003
1583525063316705012710 ~2003
158354136153206989729712 ~2008
1583577839316715567910 ~2003
1583584259316716851910 ~2003
1583605433950163259910 ~2004
15836116511583611651111 ~2005
1583626871316725374310 ~2003
1583703239316740647910 ~2003
1583712419316742483910 ~2003
Exponent Prime Factor Digits Year
15837453771266996301711 ~2004
15837994791267039583311 ~2004
1583801111316760222310 ~2003
1583880839316776167910 ~2003
1583957411316791482310 ~2003
1583963483316792696710 ~2003
1583973983316794796710 ~2003
1584064871316812974310 ~2003
15840805992851345078311 ~2005
1584120371316824074310 ~2003
1584129203316825840710 ~2003
1584208511316841702310 ~2003
1584276557950565934310 ~2004
1584292511316858502310 ~2003
1584311819316862363910 ~2003
1584314339316862867910 ~2003
15843251473802380352911 ~2006
1584360023316872004710 ~2003
1584370813950622487910 ~2004
1584385163316877032710 ~2003
1584391859316878371910 ~2003
1584462059316892411910 ~2003
1584576971316915394310 ~2003
1584616343316923268710 ~2003
1584650363316930072710 ~2003
Exponent Prime Factor Digits Year
1584680171316936034310 ~2003
15847030912852465563911 ~2005
1584803723316960744710 ~2003
1584822901950893740710 ~2004
1584841451316968290310 ~2003
1584941483316988296710 ~2003
1585090679317018135910 ~2003
15851021772536163483311 ~2005
1585148759317029751910 ~2003
1585172159317034431910 ~2003
1585188481951113088710 ~2004
1585246499317049299910 ~2003
1585259519317051903910 ~2003
1585279211317055842310 ~2003
1585353719317070743910 ~2003
1585360391317072078310 ~2003
1585367783317073556710 ~2003
1585419971317083994310 ~2003
1585438741951263244710 ~2004
1585511699317102339910 ~2003
15855843172219818043911 ~2005
1585592831317118566310 ~2003
1585649713951389827910 ~2004
15857802372537248379311 ~2005
1585855703317171140710 ~2003
Exponent Prime Factor Digits Year
1585915139317183027910 ~2003
1585916771317183354310 ~2003
15859439591585943959111 ~2005
15859576875392256135911 ~2006
15859621876343848748111 ~2006
158599425111419158607312 ~2007
15859956891268796551311 ~2004
1586008691317201738310 ~2003
1586031071317206214310 ~2003
1586050451317210090310 ~2003
1586051003317210200710 ~2003
158605711922839222513712 ~2007
1586088599317217719910 ~2003
1586105063317221012710 ~2003
1586123621951674172710 ~2004
1586138353951683011910 ~2004
1586140163317228032710 ~2003
1586208083317241616710 ~2003
1586219279317243855910 ~2003
15862514091269001127311 ~2004
1586260103317252020710 ~2003
1586284751317256950310 ~2003
1586339113951803467910 ~2004
1586434511317286902310 ~2003
1586459183317291836710 ~2003
3907
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25-11-02