420 811 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
473837217254250433118533485998436119	36	118.5	2019-05-05 01:09:54

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	593 / 640

Estimated T-Level: 29.6 ⓘ

TF below 2^93 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	22EB	0
Verified (Factored)		Amdahl 6 - 1989	1CAFA2EB	0
Verified (Factored)		Guillermo Ballester Valor	9FD1072ADCAFA2EB	0
Verified (Factored)		Eivind Triel	9FD1072ADCAFA2EB	301553
Verified (Factored)	2002-01-02	Dennis Pope	9FD1072ADCAFA2EB	235429

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-05-05	Niels_Mache_Nextcloud	4B078223C1734BF3	1	149866	5	3
Verified	2019-05-06	marssystems	4B078223C1734BF3	1	29606	5	3

History

Date	User	Type	Result
2019-05-06	marssystems	C-PRP	M420811/473837217254250433118533485998436119 : 4B078223C1734BF3 PRP: Verified PRP without proof (small exponent)
2019-05-05	Niels_Mache_Nextcloud	C-PRP	M420811/473837217254250433118533485998436119 : 4B078223C1734BF3 PRP: Verified PRP without proof (small exponent)
2019-05-05	alex	F-ECM	Factor: 473837217254250433118533485998436119 / (ECM curve 478, B1=250000, B2=25000000, Sigma=5511270105243652)
2018-12-18	Gordon Spence	NF	no factor from 2^65 to 2^66
2017-12-18	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-02-23	Mark Rose	NF	no factor from 2^58 to 2^60
2015-11-13	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-11-13	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-15	NR	NF	no factor from 2^61 to 2^62
2013-01-06	markr	NF-PM1	B1=25000000, B2=1000000000, E=12
2011-11-13	lycorn	NF	no factor from 2^60 to 2^61
2010-01-25	BigBrother	NF-PM1	B1=2000000, B2=40000000, E=12