4 272 767 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
59887869555202216751	20	65.7	2011-08-31 20:20:57
1864321128285639402287	22	70.7	2023-03-09 10:31:42

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)	1998-06-14	Gerhard H Wrodnigg	A227982D1436FACC	0
Verified (Factored)	2000-02-01	Charles Villa	A227982D1436FACC	3111255

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-11-15	ATH	9DE37578FC9105A5	1	4107266	5	3
Verified (Factored)	2017-12-29	kkmrkkblmbrbk	9DE37578FC9105A5	1	289778	5	3
Verified	2023-03-15	Oliver Kruse	9DE37578FC9105A5	2	4040016	5	3

P-1 factors

Date	Factor	B1	B2
2023-03-09	1864321128285639402287	224000	119776800

History

Date	User	Type	Result
2023-03-15	volki	CERT	PRP Certification Proof certified good
2023-03-15	Oliver Kruse	C-PRP	M4272767/59887869555202216751/1864321128285639402287 : 9DE37578FC9105A5 PRP proof power = 7 PRP: Verified Proof certified good
2023-03-09	USAFSS	F-PM1	Factor: 1864321128285639402287 / (P-1, B1=224000, B2=119776800)
2017-12-29	kkmrkkblmbrbk	C-PRP	M4272767/59887869555202216751 : 9DE37578FC9105A5 PRP: Verified (Factored) PRP without proof (not generated)
2017-11-15	ATH	C-PRP	M4272767/59887869555202216751 : 9DE37578FC9105A5 PRP: Verified (Factored) PRP without proof (not generated)
2011-08-31	Squeeky_Squirrel	F-PM1	Factor: 59887869555202216751
2010-12-30	markr	NF	no factor from 2^61 to 2^62
2009-08-12	Carsten Kossendey	NF-PM1	B1=25000, B2=337500