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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
748714259149742851910 ~2000
7487948412246384523111 ~2003
748804883149760976710 ~2000
748819679149763935910 ~2000
748839719149767943910 ~2000
748859123149771824710 ~2000
748879049599103239310 ~2002
748906553449343931910 ~2001
748908119149781623910 ~2000
7489360791348084942311 ~2003
748950959149790191910 ~2000
748957823149791564710 ~2000
748973651149794730310 ~2000
7489779894643663531911 ~2004
748980979748980979110 ~2002
748984163149796832710 ~2000
748985717599188573710 ~2002
749021699149804339910 ~2000
749023811149804762310 ~2000
749058659149811731910 ~2000
749059583149811916710 ~2000
749064497449438698310 ~2001
749106341449463804710 ~2001
749128559149825711910 ~2000
749158211599326568910 ~2002
Exponent Prime Factor Digits Year
749160059599328047310 ~2002
749188799149837759910 ~2000
749258519149851703910 ~2000
749278151149855630310 ~2000
749287061599429648910 ~2002
7492956191348732114311 ~2003
749300963149860192710 ~2000
749307701599446160910 ~2002
749328263149865652710 ~2000
749348773449609263910 ~2001
7493580131198972820911 ~2003
749372759149874551910 ~2000
749374091149874818310 ~2000
749387003149877400710 ~2000
749392139149878427910 ~2000
749408651149881730310 ~2000
749437823149887564710 ~2000
749465291149893058310 ~2000
749487983149897596710 ~2000
7495008912998003564111 ~2003
749515451149903090310 ~2000
74952596313191656948912 ~2005
749534183149906836710 ~2000
749536691149907338310 ~2000
749548991149909798310 ~2000
Exponent Prime Factor Digits Year
749554139149910827910 ~2000
749563163149912632710 ~2000
749564099149912819910 ~2000
749590091149918018310 ~2000
749618339149923667910 ~2000
749622277449773366310 ~2001
749650931599720744910 ~2002
7496621596147229703911 ~2004
749692403149938480710 ~2000
749699591149939918310 ~2000
749718757449831254310 ~2001
7497411771799378824911 ~2003
749744701449846820710 ~2001
749747171149949434310 ~2000
749753843149950768710 ~2000
749755759749755759110 ~2002
749819183149963836710 ~2000
749829917599863933710 ~2002
749908297449944978310 ~2001
7499362612849757791911 ~2003
749937803149987560710 ~2000
7499559071199929451311 ~2003
749980697449988418310 ~2001
749988443149997688710 ~2000
749995997449997598310 ~2001
Exponent Prime Factor Digits Year
750017711150003542310 ~2000
750019511600015608910 ~2002
7500341336450293543911 ~2004
7500411415850320899911 ~2004
7500426191350076714311 ~2003
750111497600089197710 ~2002
750145691150029138310 ~2000
7501573815251101667111 ~2004
750194639150038927910 ~2000
750194891150038978310 ~2000
750232211150046442310 ~2000
750288431600230744910 ~2002
750294959150058991910 ~2000
750332603150066520710 ~2000
750350351150070070310 ~2000
750352871150070574310 ~2000
750361103150072220710 ~2000
750385799150077159910 ~2000
7503957131800949711311 ~2003
750397079150079415910 ~2000
750422399150084479910 ~2000
750441371150088274310 ~2000
750448397450269038310 ~2001
750503723150100744710 ~2000
750521231150104246310 ~2000
3441
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25-07-08