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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.
Exp. Prime Factor Digits Year
83133532660272979 ~1988
8313359166267198 ~1985
8313671665093698 ~1986
8313791665103298 ~1986
8313803166276078 ~1985
8313953498837198 ~1986
8314199166283998 ~1985
8314363831436318 ~1987
8314643166292878 ~1985
8314679665174338 ~1986
83146811829229839 ~1988
8315231166304638 ~1985
83154671496784079 ~1987
8315999166319998 ~1985
8316089665287138 ~1986
8316181498970878 ~1986
8316353498981198 ~1986
8316457498987438 ~1986
8316479665318338 ~1986
8316491665319298 ~1986
8316577498994638 ~1986
8316611166332238 ~1985
8316989665359138 ~1986
8317223166344478 ~1985
8317367665389378 ~1986
Exp. Prime Factor Digits Year
8317433499045998 ~1986
83174573160633679 ~1988
8317781499066878 ~1986
8318027119779588910 ~1990
8318069665445538 ~1986
83181973327278819 ~1988
8318231166364638 ~1985
8318279166365598 ~1985
8318291166365838 ~1985
8318417499105038 ~1986
8318477499108638 ~1986
8318537499112238 ~1986
8318591166371838 ~1985
8318657499119438 ~1986
83186576654925619
8318759166375198 ~1985
8319037499142238 ~1986
8319221665537698 ~1986
8319257665540578 ~1986
8319263166385278 ~1985
83194193993321139 ~1988
8319581499174878 ~1986
8319677665574178 ~1986
8319803166396078 ~1985
83199431331190899 ~1987
Exp. Prime Factor Digits Year
8320097665607778 ~1986
83201591497628639 ~1987
8320379166407598 ~1985
8320619166412398 ~1985
8321003166420078 ~1985
8321171166423438 ~1985
8321213499272798 ~1986
8321309665704738 ~1986
8321429665714338 ~1986
8321543166430878 ~1985
8321723166434478 ~1985
8321783166435678 ~1985
83218812496564319 ~1988
8321897499313838 ~1986
8322269665781538 ~1986
8322533499351998 ~1986
8322683166453678 ~1985
83227339321460979 ~1989
8322773499366398 ~1986
8323103166462078 ~1985
8323439166468798 ~1985
83235171165292399 ~1987
8323541665883298 ~1986
8323571166471438 ~1985
8323603832360318 ~1987
Exp. Prime Factor Digits Year
8323751166475038 ~1985
8323793499427598 ~1986
8323817499429038 ~1986
8323823166476478 ~1985
8323883166477678 ~1985
8324411166488238 ~1985
8325071166501438 ~1985
83252272164559039 ~1988
8325437666034978 ~1986
8325491166509838 ~1985
8325539166510798 ~1985
8325599166511998 ~1985
8325671166513438 ~1985
8325899166517998 ~1985
8326033499561998 ~1986
8326079166521598 ~1985
8326267832626718 ~1987
8326511166530238 ~1985
8326553499593198 ~1986
8326727666138178 ~1987
8326793499607598 ~1986
8326861499611678 ~1986
8327191832719118 ~1987
8327233499633998 ~1986
8327279166545598 ~1985
925
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25-07-08