317 419 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
55866406801476528508485551	26	85.5	2015-12-21 02:24:53

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	278 / 640

Estimated T-Level: 27.2 ⓘ

TF below 2^85 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	6B08	0
Verified (Factored)		Unknown	6B08	0
Verified (Factored)		Klaus Kastens	7A93774A923F6B08	0
Verified (Factored)		Guillermo Ballester Valor	7A93774A923F6B08	0
Verified (Factored)		Eivind Triel	7A93774A923F6B08	215288

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	0EE64B86D06F7578	1	0	1	3
Verified	2017-10-13	Oliver Kruse	0EE64B86D06F7578	1	200353	1	3
Verified	2017-12-11	ATH	0EE64B86D06F7578	1	34656	1	3
Unverified (Reliable)	2020-04-18	Oliver Kruse	F95B1584E35960__	1	241989	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-05-24	George Woltman	NF-PP1	Start=2/7, B1=7500000, B2=592500000
2020-04-18	Oliver Kruse	C-PRP	M317419/55866406801476528508485551 : F95B1584E35960__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-12-11	ATH	C-PRP	M317419/55866406801476528508485551 : 0EE64B86D06F7578 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M317419/55866406801476528508485551 : 0EE64B86D06F7578 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M317419/55866406801476528508485551 : 0EE64B86D06F7578 PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M317419/55866406801476528508485551 : 0EE64B86D06F7578 PRP without proof (not generated)
2015-12-21	bam	F-ECM	Factor: 55866406801476528508485551 / (ECM curve 2, B1=250000, B2=25000000)
2015-07-20	NR	NF	no factor from 2^61 to 2^62
2012-04-27	David Campeau	NF	no factor from 2^60 to 2^61
2012-01-23	alpertron	NF-PM1	B1=10000000, B2=200000000, E=12
2009-01-25	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-30	Sturle Sunde	NF	no factor from 2^58 to 2^59
2008-11-25	GrunwalderGIMP	NF-PM1	B1=2000000, B2=200000000, E=12