6 393 097 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
8838985239046596911011351	25	82.9	2014-10-22 08:43:06

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)	2000-07-25	Jean-Yves Canart	DA83CDF2E3F3E56B	3537131
Verified (Factored)	2001-09-30	Levi Broderick	DA83CDF2E3F3E56B	1187602

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-03	kkmrkkblmbrbk	20C6C91792C2EBC6	1	5089451	5	3
Verified	2018-09-28	rucio	20C6C91792C2EBC6	1	3715385	5	3

P-1 factors

Date	Factor	B1	B2
2014-10-22	8838985239046596911011351	390000	9847500

History

Date	User	Type	Result
2025-01-16	Stef42	NF-PM1	B1=2218000, B2=8569372350
2022-03-19	LordJulius	NF	no factor from 2^62 to 2^63
2018-09-28	rucio	C-PRP	M6393097/8838985239046596911011351 : 20C6C91792C2EBC6 PRP: Verified PRP without proof (not generated)
2017-11-03	kkmrkkblmbrbk	C-PRP	M6393097/8838985239046596911011351 : 20C6C91792C2EBC6 PRP: Verified PRP without proof (not generated)
2014-10-22	Nesowa	F-PM1	Factor: 8838985239046596911011351 / (P-1, B1=390000, B2=9847500, E=12)
2014-08-18	lycorn	NF	no factor from 2^64 to 2^65
2014-08-17	Nesowa	NF	no factor from 2^63 to 2^64