3 278 129 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
14318337247272677927203817480746799	35	113.5	2021-01-27 12:46:28

ECM

Digits	B1	Curves
25	50000	22 / 280

Estimated T-Level: 20.4 ⓘ

TF below 2^63 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Barrett Davis	C0D7DB45D96418FB	0
Verified (Factored)	1999-09-14	Steve White	C0D7DB45D96418FB	2759402

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-01-27	mrh	B459DE30B36D27A1	1	582566	5	3

P-1 factors

Date	Factor	B1	B2
2021-01-27	14318337247272677927203817480746799	4000000	150000000

History

Date	User	Type	Result
2022-07-17	Joss	NF-PM1	B1=3278129, B2=3303062070
2022-03-19	Joss	NF-PM1	B1=1000000, B2=134316000
2021-01-27	Igor_V_Sharov	CERT	PRP Certification Proof certified good
2021-01-27	mrh	C-PRP	M3278129/14318337247272677927203817480746799 : B459DE30B36D27A1 PRP proof power = 7 PRP: Verified Proof certified good
2021-01-27	mikr	F-PM1	Factor: 14318337247272677927203817480746799 / (P-1, B1=4000000, B2=150000000, E=12)
2018-12-03	TJAOI	NF	no factor from 2^67 to 2^68
2017-04-05	Gordon Spence	NF	no factor from 2^66 to 2^67
2016-01-22	Joss	NF-PM1	B1=383400, B2=3834000, E=6
2015-06-28	Tha	NF	no factor from 2^65 to 2^66
2015-02-07	VictordeHollander	NF	no factor from 2^64 to 2^65
2015-02-07	VictordeHollander	NF	no factor from 2^63 to 2^64
2014-10-10	Joss	NF-PM1	B1=99160
2014-06-26	-Anonymous-	NF-PM1	B1=79580
2013-01-03	dbaugh	NF	no factor from 2^62 to 2^63
2011-10-10	c10ck3r	NF	no factor from 2^61 to 2^62
2011-09-20	USAFSS	NF-PM1	B1=60000, B2=1065000, E=6
2009-07-09	Carsten Kossendey	NF-PM1	B1=15000, B2=191250
2009-04-02	S485122	NF	no factor from 2^60 to 2^61