6 351 809 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
357629800375982805907879	24	78.2	2023-04-03 17:58:16
1132845877868291721291871011748754746231	40	129.7	2023-04-03 17:58:16

ECM

Digits	B1	Curves
25	50000	6 / 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)	1999-07-26	Stephan van Dijk	B42B54D678D3E2F2	4057036
Verified (Factored)	2001-06-17	Marc Balcells	B42B54D678D3E2F2	3875221

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-04-04	Naegi Makoto	A300ECC85181149E	2	3624611	5	3

P-1 factors

Date	Factor	B1	B2
2023-04-03	405139445158792166449362296240287516473870610820442268208454049	4000000	18004726740

History

Date	User	Type	Result
2023-04-04	Section 31	CERT	PRP Certification Proof certified good
2023-04-04	Naegi Makoto	C-PRP	M6351809/357629800375982805907879/1132845877868291721291871011748754746231 : A300ECC85181149E PRP proof power = 7 PRP: Verified Proof certified good
2023-04-03	linament	F-PM1	Factors: 357629800375982805907879,1132845877868291721291871011748754746231 / (P-1, B1=4000000, B2=18004726740)
2023-04-02	linament	NF-PM1	B1=3999900
2022-09-09	takahashi	NF-PM1	B1=2500000, B2=50028510
2022-06-17	takahashi	NF	no factor from 2^71 to 2^72
2021-12-26	mikr	NF	no factor from 2^70 to 2^71
2021-02-07	takahashi	NF	no factor from 2^69 to 2^70
2020-04-30	takahashi	NF	no factor from 2^68 to 2^69
2018-06-04	ramgeis	NF	no factor from 2^67 to 2^68
2016-04-02	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-10-20	snme2pm1	NF	no factor from 2^65 to 2^66
2014-10-09	Nesowa	NF-PM1	B1=385000, B2=9721250, E=12
2014-08-21	lycorn	NF	no factor from 2^64 to 2^65
2014-08-17	Nesowa	NF	no factor from 2^63 to 2^64