321 631 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
553778132627994143424371854978159	33	108.8	2019-03-15 12:54:41

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	297 / 640

Estimated T-Level: 27.3 ⓘ

TF below 2^86 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	3610	0
Verified (Factored)		Unknown	3610	0
Verified (Factored)		Guillermo Ballester Valor	3CDEC82CDFD1B610	0
Verified (Factored)		Eivind Triel	3CDEC82CDFD1B610	227871
Verified (Factored)	2002-01-15	Dennis Pope	3CDEC82CDFD1B610	266031

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-03-16	trebor	28BA7E0C7B05D1F9	1	235451	5	3
Verified	2019-03-16	ANONYMOUS	28BA7E0C7B05D1F9	1	231148	5	3
Verified	2019-03-17	kkmrkkblmbrbk	28BA7E0C7B05D1F9	1	21903	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2019-03-17	kkmrkkblmbrbk	C-PRP	M321631/553778132627994143424371854978159 : 28BA7E0C7B05D1F9 PRP: Verified PRP without proof (small exponent)
2019-03-16	ANONYMOUS	C-PRP	M321631/553778132627994143424371854978159 : 28BA7E0C7B05D1F9 PRP: Verified PRP without proof (small exponent)
2019-03-16	trebor	C-PRP	M321631/553778132627994143424371854978159 : 28BA7E0C7B05D1F9 PRP: Verified PRP without proof (small exponent)
2019-03-15	alex	F-ECM	Factor: 553778132627994143424371854978159 / (ECM curve 108, B1=250000, B2=25000000, Sigma=8812500105241111)
2018-01-22	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-06-19	mikr	NF-PM1	B1=60000000, B2=3000000000, E=12
2015-12-20	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-20	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-22	NR	NF	no factor from 2^61 to 2^62
2012-04-27	David Campeau	NF	no factor from 2^60 to 2^61
2012-01-22	alpertron	NF-PM1	B1=10000000, B2=200000000, E=12
2011-08-06	Joss	NF-PM1	B1=1446071
2009-01-24	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-31	Sturle Sunde	NF	no factor from 2^58 to 2^59