2 154 419 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1568417033	10	30.5	old
55084184993	11	35.7	2008-07-14 20:20:52
148176629983	12	37.1	2008-07-14 20:20:52
58359081260650288199	20	65.7	2016-03-26 15:21:14

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	167 / 640

Estimated T-Level: 26.3 ⓘ

TF below 2^82 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-08	Oliver Kruse	C9F443402C5AD120	1	0	1	3
Verified	2017-10-17	Oliver Kruse	358492E4AA71BAFA	4	537702	5	3
Verified	2017-11-18	ATH	358492E4AA71BAFA	4	1123800	5	3

P-1 factors

Date	Factor	B1	B2
2016-03-26	58359081260650288199	500000	15000000

History

Date	User	Type	Result
2017-11-18	ATH	C-PRP	M2154419/1568417033/148176629983/55084184993/58359081260650288199 : 358492E4AA71BAFA PRP: Verified PRP without proof (not generated)
2017-10-17	Oliver Kruse	C-PRP	M2154419/1568417033/148176629983/55084184993/58359081260650288199 : 358492E4AA71BAFA PRP: Verified PRP without proof (not generated)
2017-10-08	Oliver Kruse	C-PRP	M2154419/1568417033/148176629983/55084184993/58359081260650288199 : C9F443402C5AD120 PRP: Verified PRP without proof (not generated)
2016-03-26	alpertron	F-PM1	Factor: 58359081260650288199 / (P-1, B1=500000, B2=15000000, E=12)
2008-07-14	George Woltman	F-ECM	Factor: 55084184993
2008-07-14	George Woltman	F-ECM	Factor: 148176629983