7 104 829 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
511599810715261112856447511	27	88.7	2020-12-12 14:15:18

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	John F. Kushneir III	D26A15941DE1EC7C	6951257
Verified (Factored)	2002-02-10	steve elias	D26A15941DE1EC7C	1048388

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-12-13	xyuzyz	0812825804DCA433	1	1562276	5	3
Verified	2020-12-19	oodaira	0812825804DCA433	1	264507	5	3

P-1 factors

Date	Factor	B1	B2
2020-12-12	511599810715261112856447511	500000	15000000

History

Date	User	Type	Result
2020-12-19	Ben Delo	CERT	PRP Certification Proof certified good
2020-12-19	oodaira	C-PRP	M7104829/511599810715261112856447511 : 0812825804DCA433 PRP proof power = 8 PRP: Verified Proof certified good
2020-12-13	xyuzyz	C-PRP	M7104829/511599810715261112856447511 : 0812825804DCA433 PRP: Verified PRP without proof (not generated)
2020-12-12	Dylan Delgado	F-PM1	Factor: 511599810715261112856447511 / (P-1, B1=500000, B2=15000000, e=12, n=378K CUDAPm1 v0.22)
2020-05-01	TJAOI	NF	no factor from 2^68 to 2^69
2018-07-23	ramgeis	NF	no factor from 2^67 to 2^68
2016-10-20	Gordon Spence	NF	no factor from 2^66 to 2^67
2015-06-21	VictordeHollander	NF	no factor from 2^65 to 2^66
2014-02-09	lycorn	NF	no factor from 2^64 to 2^65
2014-02-02	Nesowa	NF	no factor from 2^63 to 2^64
2011-12-19	James Heinrich	NF-PM1	B1=135000, B2=2902500, E=6