3 196 507 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
664873457	9	29.3	old
29559845521823	14	44.7	2008-09-30 14:46:48
125415104731280497285431057169	30	96.7	2021-12-25 10:08:29

ECM

Digits	B1	Curves
25	50000	56 / 280

Estimated T-Level: 21.0 ⓘ

TF below 2^65 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-01	Oliver Kruse	27DD77791B341C15	2	1671542	5	3
Verified (Factored)	2017-12-13	kkmrkkblmbrbk	27DD77791B341C15	2	3194065	5	3
Verified	2021-12-31	/r/counting	27DD77791B341C15	3	2054970	5	3

P-1 factors

Date	Factor	B1	B2
2021-12-25	125415104731280497285431057169	3196507	172684050

History

Date	User	Type	Result
2022-10-06	Joss	NF-PM1	B1=3196507, B2=445564350
2021-12-31	ANONYMOUS	CERT	PRP Certification Proof certified good
2021-12-31	/r/counting	C-PRP	M3196507/664873457/29559845521823/125415104731280497285431057169 : 27DD77791B341C15 PRP proof power = 7 PRP: Verified Proof certified good
2021-12-25	Joss	F-PM1	Factor: 125415104731280497285431057169 / (P-1, B1=3196507, B2=172684050)
2021-09-28	Joss	NF	no factor from 2^67 to 2^68
2021-09-28	Joss	NF-PM1	B1=3196507, B2=63930140, E=12
2021-01-16	Joss	NF-PM1	B1=319650, B2=3196507, E=6
2017-12-13	kkmrkkblmbrbk	C-PRP	M3196507/664873457/29559845521823 : 27DD77791B341C15 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-01	Oliver Kruse	C-PRP	M3196507/664873457/29559845521823 : 27DD77791B341C15 PRP: Verified (Factored) PRP without proof (not generated)
2008-09-30	markr	F	Factor: 29559845521823