8 579 873 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
13293461509110533295456570028915625897	38	123.3	2022-01-10 17:26:11

ECM

Digits	B1	Curves
25	50000	6 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1999-12-30	Vic Larson	F815EEF740B6E099	5851026
Verified (Factored)	2003-02-02	Marc Getty / Phil Fizur	F815EEF740B6E099	1351275

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-01-11	LordJulius	8ADDBA75AABD1707	1	6041583	5	3

P-1 factors

Date	Factor	B1	B2
2022-01-10	13293461509110533295456570028915625897	1560000	627605550

History

Date	User	Type	Result
2022-01-11	curtisc	CERT	PRP Certification Proof certified good
2022-01-11	LordJulius	C-PRP	M8579873/13293461509110533295456570028915625897 : 8ADDBA75AABD1707 PRP proof power = 8 PRP: Verified Proof certified good
2022-01-10	firejuggler	F-PM1	Factor: 13293461509110533295456570028915625897 / (P-1, B1=1560000, B2=627605550)
2021-11-09	Lisander Viaene	NF	no factor from 2^71 to 2^72
2021-09-01	SRBase	NF	no factor from 2^70 to 2^71
2021-08-20	SRBase	NF	no factor from 2^69 to 2^70
2019-12-13	TJAOI	NF	no factor from 2^68 to 2^69
2018-04-05	monst	NF	no factor from 2^67 to 2^68
2016-01-27	snme2pm1	NF	no factor from 2^66 to 2^67
2015-05-25	VictordeHollander	NF	no factor from 2^65 to 2^66
2013-11-03	David Campeau	NF	no factor from 2^64 to 2^65
2012-05-15	bcp19	NF-PM1	B1=100000, B2=1825000, E=6
2009-08-07	Carsten Kossendey	NF-PM1	B1=45000, B2=708750, E=6