476 351 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
104583659344871671078275671	27	86.4	2010-03-27 20:16:05

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	1D53	0
Verified (Factored)		David Einstein	2C4C98DD3E985D53	0
Verified (Factored)		Klaus Kastens	2C4C98DD3E985D53	0
Verified (Factored)		Eivind Triel	2C4C98DD3E985D53	443526

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-26	Oliver Kruse	4F088574A8904719	1	0	1	3
Verified	2017-09-27	Oliver Kruse	4F088574A8904719	1	0	1	3
Verified	2017-11-09	kkmrkkblmbrbk	4F088574A8904719	1	67354	1	3
Unverified (Reliable)	2020-04-18	Oliver Kruse	B9617D4D94A889__	1	267199	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-18	Oliver Kruse	C-PRP	M476351/104583659344871671078275671 : B9617D4D94A889__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-11-09	kkmrkkblmbrbk	C-PRP	M476351/104583659344871671078275671 : 4F088574A8904719 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-27	Oliver Kruse	C-PRP	M476351/104583659344871671078275671 : 4F088574A8904719 PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-26	Oliver Kruse	C-PRP	M476351/104583659344871671078275671 : 4F088574A8904719 PRP: Unverified (Reliable) PRP without proof (not generated)
2010-03-27	Sturle Sunde	F-ECM	Factor: 104583659344871671078275671
2009-08-26	James Hintz	NF-PM1	B1=5000000, B2=120000000, E=12