366 439 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
3612141275680114551713	22	71.6	2009-03-01 18:01:54

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	371 / 640

Estimated T-Level: 27.9 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	3D0A	0
Verified (Factored)		Len Ruth	853115AE116ABD0A	0
Verified (Factored)		Klaus Kastens	853115AE116ABD0A	0
Verified (Factored)		Eivind Triel	853115AE116ABD0A	89314

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-23	Oliver Kruse	588F11F6D7E656DA	1	0	1	3
Verified	2017-11-02	kkmrkkblmbrbk	588F11F6D7E656DA	1	354989	1	3
Verified	2020-04-18	Oliver Kruse	08901E7FD1538BC6	1	161930	5	3
Verified	2024-09-24	kkmrkkblmbrbk	08901E7FD1538BC6	1	26774	5	3

History

Date	User	Type	Result
2024-09-24	tshiif	CERT	PRP Certification Proof certified good
2024-09-24	kkmrkkblmbrbk	C-PRP	M366439/3612141275680114551713 : 08901E7FD1538BC6 PRP proof power = 5 PRP: Verified Proof certified good
2024-05-30	yuriy_5-1	NF-PM1	B1=10000000, B2=224950826100
2024-02-16	Denial140	NF-PM1	B1=1000000, B2=8403510570
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-04-18	Oliver Kruse	C-PRP	M366439/3612141275680114551713 : 08901E7FD1538BC6 PRP: Verified PRP without proof (small exponent)
2017-11-02	kkmrkkblmbrbk	C-PRP	M366439/3612141275680114551713 : 588F11F6D7E656DA PRP: Verified PRP without proof (small exponent)
2017-09-23	Oliver Kruse	C-PRP	M366439/3612141275680114551713 : 588F11F6D7E656DA PRP: Verified PRP without proof (not generated)
2009-03-01	Sturle Sunde	F-ECM	Factor: 3612141275680114551713
2009-01-24	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-29	Sturle Sunde	NF	no factor from 2^58 to 2^59