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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
4448539800737038 ~1985
4448933622850638 ~1985
444902388980477 ~1983
4449233622892638 ~1985
4449299800873838 ~1985
44493974271421139 ~1987
44495413203669539 ~1987
444989988997997 ~1983
445013989002797 ~1983
4450291445029118 ~1985
4450603445060318 ~1985
4450757267045438 ~1984
4451273623178238 ~1985
445148389029677 ~1983
445159189031837 ~1983
4451593267095598 ~1984
4451611445161118 ~1985
4451701712272178 ~1985
4451921267115278 ~1984
4451939356155138 ~1984
445213189042637 ~1983
4452143121098289710 ~1988
4452277267136638 ~1984
4452293267137598 ~1984
4452347356187778 ~1984
Exp. Prime Factor Digits Year
4452509623351278 ~1985
445259989051997 ~1983
4452761267165678 ~1984
44528291781131619 ~1986
4453231445323118 ~1985
445325989065197 ~1983
445333189066637 ~1983
4453331356266498
4453613267216798 ~1984
44536131425156179
4453621267217278 ~1984
445385989077197 ~1983
4453903712624498 ~1985
4453913267234798 ~1984
445391989078397 ~1983
445400389080077 ~1983
4454027356322178 ~1984
44540272227013519
4454059801730638 ~1985
44540831870714879 ~1986
4454501267270078 ~1984
445478389095677 ~1983
4454887801879678 ~1985
445490389098077 ~1983
4454977267298638 ~1984
Exp. Prime Factor Digits Year
44552033296850239 ~1987
445538389107677 ~1983
445561189112237 ~1983
44557791069386979 ~1986
4455793267347598 ~1984
44559014545019039 ~1987
445595989119197 ~1983
445622389124477 ~1983
4456349356507938 ~1984
445655989131197 ~1983
4456559356524738
4456589356527138 ~1984
445661989132397 ~1983
44567991426175699 ~1986
44569512585031599 ~1986
4457317267439038 ~1984
4457317713170738
4457357267441438 ~1984
445739989147997 ~1983
4457477267448638 ~1984
4457507356600578 ~1984
4457639802375038 ~1985
445775989155197 ~1983
44577594636069379
4457813267468798 ~1984
Exp. Prime Factor Digits Year
4457923445792318 ~1985
44579771069914499 ~1986
4458163445816318 ~1985
4458193713310898 ~1985
4458253713320498 ~1985
44582811426649939 ~1986
4458319445831918 ~1985
4458473267508398 ~1984
445856389171277 ~1983
445859989171997 ~1983
44586471070075299 ~1986
4458841267530478 ~1984
4459157356732578 ~1984
4459177267550638 ~1984
4459177713468338
44591772407955599
44594095975608079 ~1987
4459531445953118 ~1985
4459577624340798 ~1985
4459657267579438 ~1984
4459747445974718 ~1985
4459757356780578 ~1984
445981189196237 ~1983
44599931337997919 ~1986
4460111110610752910 ~1988
644
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25-09-07