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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
453527933272116759910 ~2000
4535767319071534639 ~1999
4535770799071541599 ~1999
4535820719071641439 ~1999
4536114013175279807111 ~2002
453627739453627739110 ~2000
453629021272177412710 ~2000
453638747816549744710 ~2001
453639317272183590310 ~2000
4536490439072980879 ~1999
4536501119073002239 ~1999
4536673919073347839 ~1999
4536739439073478879 ~1999
453676159453676159110 ~2000
4537060311179635680711 ~2001
4537166039074332079 ~1999
4537242239074484479 ~1999
4537312319074624639 ~1999
453733367362986693710 ~2000
4537449119074898239 ~1999
453748621272249172710 ~2000
4537524599075049199 ~1999
4537536599075073199 ~1999
4537589399075178799 ~1999
453766361272259816710 ~2000
Exponent Prime Factor Digits Year
453769751363015800910 ~2000
4537827839075655679 ~1999
4537869239075738479 ~1999
4537906091089097461711 ~2001
4537930319075860639 ~1999
453817541272290524710 ~2000
4538261519076523039 ~1999
4538270639076541279 ~1999
4538426999076853999 ~1999
4538549399077098799 ~1999
453862303453862303110 ~2000
453868843453868843110 ~2000
453891077272334646310 ~2000
4538984831543254842311 ~2002
4539030839078061679 ~1999
4539110399078220799 ~1999
4539130799078261599 ~1999
453919471453919471110 ~2000
4539207119078414239 ~1999
4539226439078452879 ~1999
4539226576536486260911 ~2003
4539235319078470639 ~1999
453928333272356999910 ~2000
453934157635507819910 ~2001
453942161363153728910 ~2000
Exponent Prime Factor Digits Year
453942221272365332710 ~2000
4539628439079256879 ~1999
4539642531089514207311 ~2001
4539748319079496639 ~1999
4539767039079534079 ~1999
4539780239079560479 ~1999
453987553272392531910 ~2000
4539899519079799039 ~1999
4539906719079813439 ~1999
4540038119080076239 ~1999
4540059719080119439 ~1999
4540160639080321279 ~1999
4540286999080573999 ~1999
4540367039080734079 ~1999
4540527239081054479 ~1999
4540688999081377999 ~1999
4540705799081411599 ~1999
4540855199081710399 ~1999
4540898999081797999 ~1999
454107257272464354310 ~2000
4541103239082206479 ~1999
4541310719082621439 ~1999
454138967363311173710 ~2000
454151933272491159910 ~2000
4541636399083272799 ~1999
Exponent Prime Factor Digits Year
4542078239084156479 ~1999
4542105119084210239 ~1999
454212931454212931110 ~2000
4542150119084300239 ~1999
4542150599084301199 ~1999
4542178319084356639 ~1999
4542184631816873852111 ~2002
4542260399084520799 ~1999
4542434639084869279 ~1999
454253537272552122310 ~2000
454254041363403232910 ~2000
454264303454264303110 ~2000
4542661199085322399 ~1999
4542691912543907469711 ~2002
4543039319086078639 ~1999
4543081919086163839 ~1999
4543366919086733839 ~1999
4543579312544404413711 ~2002
4543635839087271679 ~1999
4543754039087508079 ~1999
4543773839087547679 ~1999
4543816731454021353711 ~2002
4543932239087864479 ~1999
454408517363526813710 ~2000
4544210639088421279 ~1999
3236
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25-07-20