1 745 561 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
4012410257082267629781441751	28	91.7	2023-02-28 09:49:17
55986650684781102086262125500903063	35	115.4	2015-04-19 08:37:04

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	108 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Ed Knapton	BE0E3FF46C3CD455	0
Verified (Factored)	1999-01-10	Florin Clapa	BE0E3FF46C3CD455	165163

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-03	Oliver Kruse	7D4F623ADB0CF897	1	0	1	3
Verified (Factored)	2017-11-03	kkmrkkblmbrbk	7D4F623ADB0CF897	1	37192	1	3
Verified	2023-03-05	Naegi Makoto	A0A85948CE92920C	2	3745	5	3

P-1 factors

Date	Factor	B1	B2
2015-04-19	55986650684781102086262125500903063	2475400	0

History

Date	User	Type	Result
2023-03-05	curtisc	CERT	PRP Certification Proof certified good
2023-03-05	Naegi Makoto	C-PRP	M1745561/4012410257082267629781441751/55986650684781102086262125500903063 : A0A85948CE92920C PRP proof power = 7 PRP: Verified Proof certified good
2023-02-28	TJAOI	F-ECM	Factor: 4012410257082267629781441751 / (ECM curve 6, B1=250000, B2=40000000, Sigma=8581058073406476)
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2022-03-08	LordJulius	NF	no factor from 2^58 to 2^60
2017-11-03	kkmrkkblmbrbk	C-PRP	M1745561/55986650684781102086262125500903063 : 7D4F623ADB0CF897 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-03	Oliver Kruse	C-PRP	M1745561/55986650684781102086262125500903063 : 7D4F623ADB0CF897 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-16	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2015-04-19	mikr	F-PM1	Factor: 55986650684781102086262125500903063 / (P-1, B1=2475400)
2014-09-15	-Anonymous-	NF-PM1	B1=173540
2014-05-06	Joss	NF-PM1	B1=136770
2014-04-05	Joss	NF-PM1	B1=100000
2011-02-07	Carsten Kossendey	NF-PM1	B1=95000, B2=1543750, E=6
2010-11-18	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-04-24	Architects Cubed	NF	no factor from 2^60 to 2^61