318 691 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
5109963874404513292249	22	72.1	2015-02-20 13:24:51
44180907530605998117419017	26	85.2	2008-03-07 00:21:07

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	282 / 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	316A	0
Verified (Factored)		Unknown	316A	0
Verified (Factored)		Klaus Kastens	6251CB5B958AB16A	0
Verified (Factored)		Guillermo Ballester Valor	6251CB5B958AB16A	0
Verified (Factored)		Eivind Triel	6251CB5B958AB16A	31706

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-22	Oliver Kruse	34290F48F779474F	2	0	1	3
Verified	2017-10-13	Oliver Kruse	34290F48F779474F	2	60137	1	3
Verified	2017-12-11	ATH	34290F48F779474F	2	131800	1	3
Unverified (Reliable)	2020-04-18	Oliver Kruse	D008D713990125__	2	96235	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-05-26	George Woltman	NF-PP1	Start=2/7, B1=7500000, B2=592500000
2021-05-26	George Woltman	NF-PM1	B1=15000000, B2=1305000000
2020-04-18	Oliver Kruse	C-PRP	M318691/5109963874404513292249/44180907530605998117419017 : D008D713990125__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-12-11	ATH	C-PRP	M318691/5109963874404513292249/44180907530605998117419017 : 34290F48F779474F PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M318691/44180907530605998117419017/5109963874404513292249 : 34290F48F779474F PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M318691/known_factors : 34290F48F779474F PRP without proof (not generated)
2015-02-20	TJAOI	F-ECM	Factor: 5109963874404513292249 / (ECM curve 15, B1=50000, B2=5000000)
2008-03-07	Team_Bundu	F-ECM	Factor: 44180907530605998117419017