857 513 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
1569525368812969	16	50.5	old
25746349880858698594297	23	74.4	2014-09-23 21:18:09
316647037968195240513871	24	78.1	2016-01-15 14:52:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-30	alpertron	DB762983F01BAD21	3	0	1	3
Verified	2017-10-14	Oliver Kruse	DB762983F01BAD21	3	150958	1	3
Unverified (Reliable)	2020-04-22	Oliver Kruse	3A292D011ABAD9__	3	72342	5	3

P-1 factors

Date	Factor	B1	B2
2014-09-23	25746349880858698594297	300000	10000000

History

Date	User	Type	Result
2020-04-22	Oliver Kruse	C-PRP	M857513/1569525368812969/25746349880858698594297/316647037968195240513871 : 3A292D011ABAD9__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-14	Oliver Kruse	C-PRP	M857513/1569525368812969/25746349880858698594297/316647037968195240513871 : DB762983F01BAD21 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-30	alpertron	C-PRP	M857513/1569525368812969/25746349880858698594297/316647037968195240513871 : DB762983F01BAD21 PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-28	Oliver Kruse	C-PRP	M857513/known_factors : DB762983F01BAD21 PRP without proof (not generated)
2016-01-15	TJAOI	F-ECM	Factor: 316647037968195240513871 / (ECM curve 59, B1=50000, B2=5000000)
2014-09-23	alpertron	F-PM1	Factor: 25746349880858698594297 / (P-1, B1=300000, B2=10000000, E=12)