14 398 543 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
3590238574238709364282608439278111617	37	121.4	2017-03-19 19:26:20

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)	2002-03-31	C. Cooper / S. Boone	DB20491E21CCB27B	10897113
Verified (Factored)	2005-07-17	jay goode	DB20491E21CCB27B	3174884

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-06-06	M Miller	34479C87D27B8F2A	1	14362554	5	3
Verified	2020-09-29	Jaytholomew	34479C87D27B8F2A	1	1515397	5	3

P-1 factors

Date	Factor	B1	B2
2017-03-19	3590238574238709364282608439278111617	300000	6000000

History

Date	User	Type	Result
2023-01-23	nordi	NF-PM1	B1=300000, B2=214790940
2022-11-21	nordi	NF-PM1	B1=300000
2022-04-10	LordJulius	NF	no factor from 2^67 to 2^68
2020-09-30	curtisc	CERT	PRP Certification Proof certified good
2020-09-29	Jaytholomew	C-PRP	M14398543/3590238574238709364282608439278111617 : 34479C87D27B8F2A PRP proof power = 8 PRP: Verified Proof certified good
2020-06-06	M Miller	C-PRP	M14398543/3590238574238709364282608439278111617 : 34479C87D27B8F2A PRP: Verified PRP without proof (not generated)
2017-03-19	Tha	F-PM1	Factor: 3590238574238709364282608439278111617 / (P-1, B1=300000, B2=6000000, E=6)
2015-10-01	Nesowa	NF	no factor from 2^66 to 2^67
2014-08-14	Nesowa	NF	no factor from 2^65 to 2^66