2 766 943 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
11665431689	11	33.4	old
858571345129	12	39.6	2008-09-30 14:37:52
134898781109811055943	21	66.9	2019-02-24 11:27:10

ECM

Digits	B1	Curves
25	50000	61 / 280

Estimated T-Level: 21.1 ⓘ

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)	2017-10-20	Oliver Kruse	D0D4A4DE1A86E27F	2	1894075	5	3
Verified (Factored)	2017-12-06	kkmrkkblmbrbk	D0D4A4DE1A86E27F	2	1743568	5	3
Verified	2019-02-27	Luigi Morelli	D0D4A4DE1A86E27F	3	96179	5	3

P-1 factors

Date	Factor	B1	B2
2019-02-24	134898781109811055943	10000	0

History

Date	User	Type	Result
2022-09-20	USAFSS	NF-PM1	B1=220000, B2=203416290
2019-02-27	Luigi Morelli	C-PRP	M2766943/11665431689/858571345129/134898781109811055943 : D0D4A4DE1A86E27F PRP: Verified PRP without proof (not generated)
2019-02-24	Joss	F-PM1	Factor: 134898781109811055943 / (P-1, B1=10000)
2017-12-06	kkmrkkblmbrbk	C-PRP	M2766943/11665431689/858571345129 : D0D4A4DE1A86E27F PRP: Verified PRP without proof (not generated)
2017-10-20	Oliver Kruse	C-PRP	M2766943/11665431689/858571345129 : D0D4A4DE1A86E27F PRP: Verified PRP without proof (not generated)
2008-09-30	markr	F	Factor: 858571345129