498 331 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
139580845557235414105218171703	30	96.8	2012-06-28 11:14:57

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1543	0
Verified (Factored)		Mischa Kenn	FDBF6AFA9655D543	0
Verified (Factored)		Eivind Triel	FDBF6AFA9655D543	420690
Verified (Factored)	2002-03-24	Dennis Pope	FDBF6AFA9655D543	291053

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-27	Oliver Kruse	0BD47C9DE05E003B	1	0	1	3
Verified	2017-11-03	kkmrkkblmbrbk	0BD47C9DE05E003B	1	399928	1	3
Unverified (Reliable)	2020-04-18	Oliver Kruse	A21C3F54D4761C__	1	152388	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^58 to 2^60
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-18	Oliver Kruse	C-PRP	M498331/139580845557235414105218171703 : A21C3F54D4761C__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-11-03	kkmrkkblmbrbk	C-PRP	M498331/139580845557235414105218171703 : 0BD47C9DE05E003B PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-27	Oliver Kruse	C-PRP	M498331/139580845557235414105218171703 : 0BD47C9DE05E003B PRP: Unverified (Reliable) PRP without proof (not generated)
2012-06-28	alpertron	F-ECM	Factor: 139580845557235414105218171703
2011-07-26	Sid & Andy	NF	no factor from 2^60 to 2^61
2010-12-21	Rob_Dee	NF-PM1	B1=1000000, B2=2000000, E=6
2010-12-20	Rob_Dee	NF-PM1	B1=500000, B2=1000000