349 871 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
18874825413862835602908866777	29	93.9	2016-11-03 14:03:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	298 / 640

Estimated T-Level: 27.3 ⓘ

TF below 2^86 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1E15	0
Verified (Factored)		Unknown	1E15	0
Verified (Factored)		Guillermo Ballester Valor	3D0C0764F4E49E15	0
Verified (Factored)		Eivind Triel	3D0C0764F4E49E15	332013
Verified (Factored)	2001-12-08	Dennis Pope	3D0C0764F4E49E15	53870

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-23	Oliver Kruse	D1FC8A4B77FAA51A	1	0	1	3
Verified	2017-10-13	Oliver Kruse	D1FC8A4B77FAA51A	1	19553	1	3
Verified	2017-12-13	ATH	D1FC8A4B77FAA51A	1	306590	1	3
Unverified (Reliable)	2020-04-18	Oliver Kruse	3742B3BF0FF216__	1	87221	5	3

P-1 factors

Date	Factor	B1	B2
2016-11-03	18874825413862835602908866777	60000000	3000000000

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	M349871/18874825413862835602908866777 : 3742B3BF0FF216__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-12-13	ATH	C-PRP	M349871/18874825413862835602908866777 : D1FC8A4B77FAA51A PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M349871/18874825413862835602908866777 : D1FC8A4B77FAA51A PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-23	Oliver Kruse	C-PRP	M349871/18874825413862835602908866777 : D1FC8A4B77FAA51A PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-23	Oliver Kruse	C-PRP	M349871/18874825413862835602908866777 : D1FC8A4B77FAA51A PRP without proof (not generated)
2016-11-03	mikr	F-PM1	Factor: 18874825413862835602908866777 / (P-1, B1=60000000, B2=3000000000, E=12)
2015-12-19	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-19	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-25	NR	NF	no factor from 2^61 to 2^62
2013-05-29	lycorn	NF	no factor from 2^60 to 2^61
2012-02-18	alpertron	NF-PM1	B1=10000000, B2=200000000, E=12
2011-08-14	Joss	NF-PM1	B1=1296578
2009-01-26	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-31	Sturle Sunde	NF	no factor from 2^58 to 2^59