990 053 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
21050948449639	14	44.3	old
195667020531001009	18	57.4	2014-09-15 11:32:16

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	2017-09-28	Oliver Kruse	E3C5E3EC1FEBA46D	2	0	1	3
Verified	2017-10-15	Oliver Kruse	E3C5E3EC1FEBA46D	2	483885	1	3
Verified	2017-12-25	ATH	E3C5E3EC1FEBA46D	2	698364	1	3
Unverified (Reliable)	2020-04-25	Oliver Kruse	35E399598E4E5F__	2	637091	5	3

P-1 factors

Date	Factor	B1	B2
2014-09-15	195667020531001009	2000000	0

History

Date	User	Type	Result
2024-10-09	timc995	NF-PM1	B1=2600000, B2=55813007250
2020-04-25	Oliver Kruse	C-PRP	M990053/21050948449639/195667020531001009 : 35E399598E4E5F__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-12-25	ATH	C-PRP	M990053/21050948449639/195667020531001009 : E3C5E3EC1FEBA46D PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-15	Oliver Kruse	C-PRP	M990053/21050948449639/195667020531001009 : E3C5E3EC1FEBA46D PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M990053/21050948449639/195667020531001009 : E3C5E3EC1FEBA46D PRP: Unverified (Reliable) PRP without proof (not generated)
2014-09-15	alpertron	F-PM1	Factor: 195667020531001009 / (P-1, B1=2000000)