581 557 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
468156392271272710538903	24	78.6	2019-04-27 21:51:35

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	209 / 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	2B34	0
Verified (Factored)		Peter Marksteiner	DFDE5B4E10702B34	0
Verified (Factored)	2001-08-31	Brian J. Beesley	DFDE5B4E10702B34	42606
Verified (Factored)	2015-04-11	MadPoo	DFDE5B4E10702B34	119943

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-04-28	ANONYMOUS	D724A7AC1D027382	1	368779	5	3
Verified	2019-04-28	J.R. Allen	D724A7AC1D027382	1	208909	5	3

P-1 factors

Date	Factor	B1	B2
2019-04-27	468156392271272710538903	10000000	400000000

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2019-04-28	J.R. Allen	C-PRP	M581557/468156392271272710538903 : D724A7AC1D027382 PRP: Verified PRP without proof (small exponent)
2019-04-28	ANONYMOUS	C-PRP	M581557/468156392271272710538903 : D724A7AC1D027382 PRP: Verified PRP without proof (small exponent)
2019-04-27	alex	F-PM1	Factor: 468156392271272710538903 / (P-1, B1=10000000, B2=400000000, E=12)
2018-06-04	chuenkit	NF	no factor from 2^65 to 2^66
2017-11-12	BloodERazor	NF	no factor from 2^64 to 2^65
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2016-02-23	Mark Rose	NF	no factor from 2^60 to 2^61
2015-11-15	Sid & Andy	NF-PM1	B1=5815570, B2=174467100, E=12
2015-09-02	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-09-02	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-12	NR	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	DFDE5B4E10702B34
2013-08-30	Tharsis	NF-PM1	B1=2000000, B2=50000000, E=12
2012-03-05	Joss	NF-PM1	B1=838628
2011-08-24	Joss	NF-PM1	B1=670902
2011-07-01	Joss	NF-PM1	B1=402541