6 055 001 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
36169903167599188703	20	65.0	2011-08-22 22:49:58
256275345249595824703	21	67.8	2023-05-02 08:35:39

ECM

Digits	B1	Curves
25	50000	1 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^61 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-12-06	Alan Vidmar	0A13E5D7670FE394	0
Verified (Factored)	2001-07-29	David Hamer	0A13E5D7670FE394	3070408

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-20	kkmrkkblmbrbk	6A2387CDB21BC774	1	0	1	3
Verified (Factored)	2018-09-16	rucio	6A2387CDB21BC774	1	5178834	1	3
Verified	2023-05-02	Naegi Makoto	7BA045090F6E3B00	2	2158839	5	3

History

Date	User	Type	Result
2023-05-02	La Güira	CERT	PRP Certification Proof certified good
2023-05-02	Naegi Makoto	C-PRP	M6055001/36169903167599188703/256275345249595824703 : 7BA045090F6E3B00 PRP proof power = 7 PRP: Verified Proof certified good
2023-05-02	TJAOI	F	Factor: 256275345249595824703 / TF: 67-68
2018-09-16	rucio	C-PRP	M6055001/36169903167599188703 : 6A2387CDB21BC774 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M6055001/36169903167599188703 : 6A2387CDB21BC774 PRP: Verified (Factored) PRP without proof (not generated)
2011-08-22	alan145	F-ECM	Factor: 36169903167599188703
2011-04-01	markr	NF-PM1	B1=110000, B2=2172500, E=6