6 460 351 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
105301096216841282057	21	66.5	2014-09-29 18:36:29

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1999-05-02	Johannes Stahl	76F21A1D45FC2D2F	1142226
Verified (Factored)	2001-04-15	John Cater	76F21A1D45FC2D2F	5061618

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-12-18	Oliver Kruse	33EBA30DC93D338C	1	4331860	5	3
Verified	2018-07-25	kkmrkkblmbrbk	33EBA30DC93D338C	1	6373655	5	3

P-1 factors

Date	Factor	B1	B2
2014-09-29	105301096216841282057	395000	9973750

History

Date	User	Type	Result
2025-01-16	Stef42	NF-PM1	B1=2218000, B2=8086600830
2022-03-20	LordJulius	NF	no factor from 2^62 to 2^63
2018-07-25	kkmrkkblmbrbk	C-PRP	M6460351/105301096216841282057 : 33EBA30DC93D338C PRP: Verified PRP without proof (not generated)
2017-12-18	Oliver Kruse	C-PRP	M6460351/105301096216841282057 : 33EBA30DC93D338C PRP: Verified PRP without proof (not generated)
2014-09-29	Nesowa	F-PM1	Factor: 105301096216841282057 / (P-1, B1=395000, B2=9973750, E=12)
2014-08-07	lycorn	NF	no factor from 2^64 to 2^65
2014-08-02	Nesowa	NF	no factor from 2^63 to 2^64
2009-06-21	Carsten Kossendey	NF-PM1	B1=35000, B2=498750