2 842 181 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
14936437154518820153	20	63.7	2011-02-01 11:36:32
17786611591117384559801	23	73.9	2023-01-31 21:11:25

ECM

Digits	B1	Curves
25	50000	83 / 280

Estimated T-Level: 21.5 ⓘ

TF below 2^66 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Chris Proctor	007F7177AA72F335	0
Verified (Factored)	1999-09-22	C. Cooper / S. Boone	007F7177AA72F335	1827269

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-22	Oliver Kruse	A097A4233DE45C47	1	2638853	5	3
Verified (Factored)	2017-12-07	kkmrkkblmbrbk	A097A4233DE45C47	1	1212593	5	3
Verified	2023-02-01	LordJulius	A097A4233DE45C47	2	262217	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-31	17786611591117384559801	360000	287380170

History

Date	User	Type	Result
2023-02-01	curtisc	CERT	PRP Certification Proof certified good
2023-02-01	LordJulius	C-PRP	M2842181/14936437154518820153/17786611591117384559801 : A097A4233DE45C47 PRP proof power = 7 PRP: Verified Proof certified good
2023-01-31	USAFSS	F-PM1	Factor: 17786611591117384559801 / (P-1, B1=360000, B2=287380170)
2017-12-07	kkmrkkblmbrbk	C-PRP	M2842181/14936437154518820153 : A097A4233DE45C47 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-22	Oliver Kruse	C-PRP	M2842181/14936437154518820153 : A097A4233DE45C47 PRP: Verified (Factored) PRP without proof (not generated)
2011-02-01	markr	F-PM1	Factor: 14936437154518820153
2011-01-24	Joss	NF-PM1	B1=50000
2011-01-02	Joss	NF-PM1	B1=30000
2010-12-21	Joss	NF-PM1	B1=20000
2009-02-12	Sturle Sunde	NF	no factor from 2^60 to 2^61