2 206 627 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
41682991089896427673	20	65.2	2011-01-09 10:47:50
179630538645341061271607	24	77.2	2023-12-15 07:29:40

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	133 / 640

Estimated T-Level: 26.0 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		David Marcus	FCB4DC3BF14E4EB8	0
Verified (Factored)	1999-02-21	Michael Croon	FCB4DC3BF14E4EB8	980958

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-09	Oliver Kruse	2F6FC7C4648A7E6F	1	0	1	3
Verified (Factored)	2017-11-20	kkmrkkblmbrbk	2F6FC7C4648A7E6F	1	1238581	1	3
Verified	2023-12-15	Naegi Makoto	7AD301AC15C675EE	2	631237	5	3

History

Date	User	Type	Result
2023-12-15	slandrum	CERT	PRP Certification Proof certified good
2023-12-15	Naegi Makoto	C-PRP	M2206627/41682991089896427673/179630538645341061271607 : 7AD301AC15C675EE PRP proof power = 7 PRP: Verified Proof certified good
2023-12-15	Naegi Makoto	F-ECM	Factor: 179630538645341061271607 / (ECM curve 41, B1=50000, B2=35542122, Edwards Sigma=4240074184374315)
2022-03-09	LordJulius	NF	no factor from 2^1 to 2^60
2017-11-20	kkmrkkblmbrbk	C-PRP	M2206627/41682991089896427673 : 2F6FC7C4648A7E6F PRP: Verified (Factored) PRP without proof (not generated)
2017-10-09	Oliver Kruse	C-PRP	M2206627/41682991089896427673 : 2F6FC7C4648A7E6F PRP: Verified (Factored) PRP without proof (not generated)
2016-04-12	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2011-01-09	markr	F-PM1	Factor: 41682991089896427673
2011-01-01	Joss	NF-PM1	B1=30000
2010-11-14	Joss	NF-PM1	B1=20000
2010-11-05	Joss	NF-PM1	B1=15000
2009-01-08	Sturle Sunde	NF	no factor from 2^61 to 2^62
2009-01-02	Sturle Sunde	NF	no factor from 2^60 to 2^61