3 494 441 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
1061728370241104210705479	25	79.8	2021-09-21 19:21:23

ECM

Digits	B1	Curves
25	50000	39 / 280

Estimated T-Level: 20.7 ⓘ

TF below 2^64 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Dax Prather	57EFE3B9EBCDBCEB	0
Verified (Factored)	1999-07-04	Brian May	57EFE3B9EBCDBCEB	2625383

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-09-28	Peter_Jakub	B182E7C309DDD072	1	1528699	5	3

History

Date	User	Type	Result
2022-04-10	Joss	NF-PM1	B1=1000000, B2=126668850
2021-09-28	Section 31	CERT	PRP Certification Proof certified good
2021-09-28	Peter_Jakub	C-PRP	M3494441/1061728370241104210705479 : B182E7C309DDD072 PRP proof power = 7 PRP: Verified Proof certified good
2021-09-21	daveward2005	F-ECM	Factor: 1061728370241104210705479 / (ECM curve 3, B1=50000, B2=5000000, Sigma=1812932332123199)
2021-04-14	axn	NF-PM1	B1=15000000, B2=750000000
2021-01-13	axn	NF	no factor from 2^68 to 2^69
2018-07-30	TJAOI	NF	no factor from 2^67 to 2^68
2017-02-20	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2016-01-06	ramgeis	NF	no factor from 2^65 to 2^66
2015-02-07	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-07	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-09-05	HBendtz	NF-PM1	B1=615000, B2=12000000, e=12
2014-08-21	Joss	NF-PM1	B1=78367
2012-08-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-11-17	USAFSS	NF-PM1	B1=60000, B2=990000, E=6
2011-07-15	markr	NF	no factor to 2^62
2009-07-08	Carsten Kossendey	NF-PM1	B1=20000, B2=240000
2009-03-19	S485122	NF	no factor from 2^60 to 2^61