6 946 987 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
1441165869178272467819839	25	80.3	2023-08-21 00:48:13

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)	1999-07-26	Tom Seitz	5603F86A8BE4EF9B	4714481
Bad	2002-09-29	Shane Sanford	AE60B16A17A1E5BA	4741338
Verified (Factored)	2002-12-02	Ars Technica Team Prime Rib	5603F86A8BE4EF9B	332149
Verified (Factored)	2002-12-09	Roger Lindley	5603F86A8BE4EF9B	2850466
Bad	2005-03-20	Shane Sanford	AE60B16A17A1E5BA	4741338

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-08-21	Naegi Makoto	E1BB90F0502DCAA9	1	4832265	5	3

P-1 factors

Date	Factor	B1	B2
2023-08-21	1441165869178272467819839	3500000	9616446840

History

Date	User	Type	Result
2023-08-21	Ge yong	CERT	PRP Certification Proof certified good
2023-08-21	Naegi Makoto	C-PRP	M6946987/1441165869178272467819839 : E1BB90F0502DCAA9 PRP proof power = 8 PRP: Verified Proof certified good
2023-08-21	Tha	F-PM1	Factor: 1441165869178272467819839 / (P-1, B1=3500000, B2=9616446840)
2021-09-25	SRBase	NF	no factor from 2^71 to 2^72
2021-08-12	SRBase	NF	no factor from 2^70 to 2^71
2021-07-28	takahashi	NF	no factor from 2^69 to 2^70
2021-06-12	takahashi	NF-PM1	B1=1000000, B2=30000000, E=12
2020-04-24	TJAOI	NF	no factor from 2^68 to 2^69
2019-05-01	takahashi	NF-PM1	B1=300000, B2=5000000, E=6
2018-02-26	-Anonymous-	NF	no factor from 2^67 to 2^68
2016-04-05	Gordon Spence	NF	no factor from 2^66 to 2^67
2015-06-26	VictordeHollander	NF	no factor from 2^65 to 2^66
2014-02-16	lycorn	NF	no factor from 2^64 to 2^65
2014-02-09	Nesowa	NF	no factor from 2^63 to 2^64
2012-08-20	Nesowa	NF-PM1	B1=85000, B2=1508750, E=6