361 651 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
11383918361498040867863	23	73.3	2010-01-26 14:11:04

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	378 / 640

Estimated T-Level: 28.0 ⓘ

TF below 2^88 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	6D7	0
Verified (Factored)		Conrad Curry	8323D8C3979746D7	0
Verified (Factored)		Klaus Kastens	8323D8C3979746D7	0
Verified (Factored)		Eivind Triel	8323D8C3979746D7	225529

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-23	Oliver Kruse	46B658F574117897	1	0	1	3
Verified	2017-11-02	kkmrkkblmbrbk	46B658F574117897	1	17668	1	3
Verified	2020-04-18	Oliver Kruse	C0779745FB7A2E1B	1	265800	5	3
Verified	2024-09-21	kkmrkkblmbrbk	C0779745FB7A2E1B	1	212483	5	3

History

Date	User	Type	Result
2024-09-21	Chuck	CERT	PRP Certification Proof certified good
2024-09-21	kkmrkkblmbrbk	C-PRP	M361651/11383918361498040867863 : C0779745FB7A2E1B PRP proof power = 5 PRP: Verified Proof certified good
2024-05-24	yuriy_5-1	NF-PM1	B1=2000004, B2=206223367350
2024-02-16	Denial140	NF-PM1	B1=1000000, B2=8403510570
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-18	Oliver Kruse	C-PRP	M361651/11383918361498040867863 : C0779745FB7A2E1B PRP: Verified PRP without proof (small exponent)
2017-11-02	kkmrkkblmbrbk	C-PRP	M361651/11383918361498040867863 : 46B658F574117897 PRP: Verified PRP without proof (small exponent)
2017-09-23	Oliver Kruse	C-PRP	M361651/11383918361498040867863 : 46B658F574117897 PRP: Verified PRP without proof (not generated)
2010-01-26	James Hintz	F-ECM	Factor: 11383918361498040867863
2009-02-06	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-30	Sturle Sunde	NF	no factor from 2^58 to 2^59