6 949 297 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
851620457236685980854329159	27	89.5	2023-11-26 16:31:57

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)	1999-08-16	Alan Vidmar	7ACDA818DF0A259A	0
Verified (Factored)	2002-01-22	Jan Lam	7ACDA818DF0A259A	3506031

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-11-26	Naegi Makoto	022C2FFEAFA3238A	1	6623470	5	3

P-1 factors

Date	Factor	B1	B2
2023-11-26	851620457236685980854329159	4200000	4046614110

History

Date	User	Type	Result
2023-11-26	StephenCLipp	CERT	PRP Certification Proof certified good
2023-11-26	Naegi Makoto	C-PRP	M6949297/851620457236685980854329159 : 022C2FFEAFA3238A PRP proof power = 8 PRP: Verified Proof certified good
2023-11-26	Sid & Andy	F-PM1	Factor: 851620457236685980854329159 / (P-1, B1=4200000, B2=4046614110)
2021-12-07	Seth_Tr	NF-PM1	B1=2000000, B2=258849360
2021-09-28	SRBase	NF	no factor from 2^71 to 2^72
2021-08-13	SRBase	NF	no factor from 2^70 to 2^71
2021-07-31	takahashi	NF	no factor from 2^69 to 2^70
2020-04-10	TJAOI	NF	no factor from 2^68 to 2^69
2020-01-21	takahashi	NF-PM1	B1=600000, B2=12000000, E=12
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
2011-12-09	James Heinrich	NF-PM1	B1=130000, B2=2827500, E=6