14 164 763 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
148205069624489996513	21	67.0	2016-09-19 20:10:57
87040228846175648128583	23	76.2	2022-12-18 18:07:26

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)	2002-04-14	Jean-Louis Charton	2E132BBD6B7EC49B	115198
Verified (Factored)	2005-04-26	Thomas Sprenger	2E132BBD6B7EC49B	8453608

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2023-01-04	Perig	E1E6AFB72C970A38	2	4376402	5	3

P-1 factors

Date	Factor	B1	B2
2022-12-18	87040228846175648128583	300000	213802050

History

Date	User	Type	Result
2023-01-04	curtisc	CERT	PRP Certification Proof certified good
2023-01-04	Perig	C-PRP	M14164763/148205069624489996513/87040228846175648128583 : E1E6AFB72C970A38 PRP proof power = 8 PRP: Verified Proof certified good
2022-12-18	nordi	F-PM1	Factor: 87040228846175648128583 / (P-1, B1=300000, B2=213802050)
2022-10-28	nordi	NF-PM1	B1=300000
2016-09-19	Xolotl	F-ECM	Factor: 148205069624489996513 / (ECM curve 1, B1=50000, B2=5000000)
2015-08-26	Tha	NF	no factor from 2^66 to 2^67
2014-07-29	Nesowa	NF	no factor from 2^65 to 2^66