4 529 383 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
82528309464537345209	20	66.2	2017-02-27 19:46:25

ECM

Digits	B1	Curves
25	50000	9 / 280

Estimated T-Level: 20.2 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	1998-07-05	Sean C. Slocum	D43E299B51479665	0
Verified (Factored)	1999-12-30	TBWM	D43E299B51479665	3287366

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-17	kkmrkkblmbrbk	14EF8C5A5F511CBE	1	341860	5	3
Verified	2018-02-21	Oliver Kruse	14EF8C5A5F511CBE	1	453830	5	3

P-1 factors

Date	Factor	B1	B2
2017-02-27	82528309464537345209	1988203	61634303

History

Date	User	Type	Result
2018-02-21	Oliver Kruse	C-PRP	M4529383/82528309464537345209 : 14EF8C5A5F511CBE PRP: Verified PRP without proof (not generated)
2017-11-17	kkmrkkblmbrbk	C-PRP	M4529383/82528309464537345209 : 14EF8C5A5F511CBE PRP: Verified PRP without proof (not generated)
2017-02-27	Ismo Laitela	F-PM1	Factor: 82528309464537345209 / (P-1, B1=1988203, B2=61634303, E=12)
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-06-29	snme2pm1	NF	no factor from 2^65 to 2^66
2014-11-10	lycorn	NF	no factor from 2^64 to 2^65
2014-11-09	Jayder	NF	no factor from 2^63 to 2^64
2011-12-28	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-09-10	markr	NF	no factor from 2^61 to 2^62
2010-08-20	markr	NF-PM1	B1=90000, B2=2002500, E=6