14 797 831 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
533240296567078190852118967107298533727	39	128.6	2021-05-03 01:35:16

ECM

Digits	B1	Curves
25	50000	1 / 280

Estimated T-Level: 20.0 ⓘ

TF below 2^61 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)	2003-02-16	Marco Bodrato	508DB7BA28820CE3	4060667
Verified (Factored)	2006-11-28	Daniel Swanson	508DB7BA28820CE3	13856772

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2022-11-09	Naegi Makoto	6DC3409D931B2090	1	13579010	5	3

P-1 factors

Date	Factor	B1	B2
2021-05-03	533240296567078190852118967107298533727	719000	50495000

History

Date	User	Type	Result
2022-11-09	curtisc	CERT	PRP Certification Proof certified good
2022-11-09	Naegi Makoto	C-PRP	M14797831/533240296567078190852118967107298533727 : 6DC3409D931B2090 PRP proof power = 8 PRP: Verified Proof certified good
2021-05-03	Architects Cubed	F-PM1	Factor: 533240296567078190852118967107298533727 / (P-1, B1=719000, B2=50495000)
2018-03-15	ramgeis	NF	no factor from 2^68 to 2^69
2018-03-15	ramgeis	NF	no factor from 2^67 to 2^68
2016-03-16	Mark Rose	NF	no factor from 2^65 to 2^66
2015-10-14	Nesowa	NF	no factor from 2^66 to 2^67