3 461 099 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
268996883125763533002839	24	77.8	2021-10-27 00:06:48

ECM

Digits	B1	Curves
25	50000	45 / 280

Estimated T-Level: 20.8 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Martin Fahlgren	A63B2836E2FB1BF2	0
Verified (Factored)	1999-07-27	Mark Skidmore	A63B2836E2FB1BF2	2454666
Verified (Factored)	2006-04-14	S452570	A63B2836E2FB1BF2	0

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-10-28	kutens	DD7D7321060628E9	1	1921444	5	3

History

Date	User	Type	Result
2022-04-10	Joss	NF-PM1	B1=1000000, B2=126668850
2021-10-28	Ben Delo	CERT	PRP Certification Proof certified good
2021-10-28	kutens	C-PRP	M3461099/268996883125763533002839 : DD7D7321060628E9 PRP proof power = 7 PRP: Verified Proof certified good
2021-10-27	kutens	F-ECM	Factor: 268996883125763533002839 / (ECM curve 2, B1=50000, B2=6700000, Sigma=1476807936763963)
2021-03-05	axn	NF-PM1	B1=20000000, B2=1000000000
2021-01-07	axn	NF	no factor from 2^68 to 2^69
2019-02-11	TJAOI	NF	no factor from 2^67 to 2^68
2017-02-08	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
2015-04-18	Gordon Spence	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
2014-09-22	HBendtz	NF-PM1	B1=500000, B2=10000000, E=12
2014-08-21	Joss	NF-PM1	B1=78544
2012-08-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2011-11-08	USAFSS	NF-PM1	B1=60000, B2=990000, E=6
2011-07-30	markr	NF	no factor from 2^61 to 2^62
2009-07-06	Carsten Kossendey	NF-PM1	B1=20000, B2=235000
2009-03-21	S485122	NF	no factor from 2^60 to 2^61