5 342 101 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
4016046542598157971329	22	71.8	2019-02-28 22:42:28

ECM

Digits	B1	Curves
25	50000	9 / 280

Estimated T-Level: 20.2 ⓘ

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

Status	Date	User	Residue	Shift
Bad	1999-03-15	Mike Gebis	C9202FBA13484CAC	0
Verified (Factored)	2000-06-23	Paul Rispens	54DB1E875A7D3EF9	4354215
Verified (Factored)	2001-05-27	Marc Getty / Phil Fizur	54DB1E875A7D3EF9	1973117

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-03-01	Maciej Kmieciak	62692E011A2BB98D	1	5300668	5	3
Verified	2019-03-01	kkmrkkblmbrbk	62692E011A2BB98D	1	2828013	5	3

P-1 factors

Date	Factor	B1	B2
2019-02-28	4016046542598157971329	320000	9520000

History

Date	User	Type	Result
2019-03-01	kkmrkkblmbrbk	C-PRP	M5342101/4016046542598157971329 : 62692E011A2BB98D PRP: Verified PRP without proof (not generated)
2019-03-01	Maciej Kmieciak	C-PRP	M5342101/4016046542598157971329 : 62692E011A2BB98D PRP: Verified PRP without proof (not generated)
2019-02-28	USAFSS	F-PM1	Factor: 4016046542598157971329 / (P-1, B1=320000, B2=9520000, E=12)
2018-06-19	ramgeis	NF	no factor from 2^67 to 2^68
2016-08-06	Gordon Spence	NF	no factor from 2^66 to 2^67
2015-08-17	snme2pm1	NF	no factor from 2^65 to 2^66
2014-12-25	VictordeHollander	NF	no factor from 2^64 to 2^65
2014-12-25	VictordeHollander	NF	no factor from 2^63 to 2^64
2010-09-18	Squeeky_Squirrel	NF-PM1	B1=60000, B2=960000, E=6
2009-05-27	GrunwalderGIMP	NF	no factor from 2^62 to 2^63