4 662 527 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
6813416000843917937	19	62.6	2011-12-11 21:16:38

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)		Greg Hewgill	D6354F7E0D4274C5	0
Verified (Factored)	2000-01-25	Patrick Neckolaishen	D6354F7E0D4274C5	543369

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-20	kkmrkkblmbrbk	0E4AC21A8D05C09C	1	0	1	3
Verified	2018-03-04	ATH	0E4AC21A8D05C09C	1	4432621	1	3

History

Date	User	Type	Result
2023-03-16	USAFSS	NF-PM1	B1=240000, B2=119048790
2018-03-04	ATH	C-PRP	M4662527/6813416000843917937 : 0E4AC21A8D05C09C PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M4662527/6813416000843917937 : 0E4AC21A8D05C09C PRP: Verified PRP without proof (not generated)
2011-12-11	GrunwalderGIMP	F-ECM	Factor: 6813416000843917937
2010-07-15	markr	NF	no factor from 2^61 to 2^62
2009-08-30	Carsten Kossendey	NF-PM1	B1=25000, B2=375000