4 493 821 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
13454518051261185036280033	26	83.5	2017-01-09 17:41:35

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
Verified (Factored)	1998-10-25	Andreas Ottosson	94D4092873548565	0
Verified (Factored)	2000-10-07	Ben Estep	94D4092873548565	568557
Verified (Factored)	2000-12-21	Gerhard H Wrodnigg	94D4092873548565	1242587

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-17	kkmrkkblmbrbk	E104F723A5471E6F	1	2394116	5	3
Verified	2018-02-17	Oliver Kruse	E104F723A5471E6F	1	3164771	5	3

P-1 factors

Date	Factor	B1	B2
2017-01-09	13454518051261185036280033	1800000	68000000

History

Date	User	Type	Result
2018-02-17	Oliver Kruse	C-PRP	M4493821/13454518051261185036280033 : E104F723A5471E6F PRP: Verified PRP without proof (not generated)
2017-11-17	kkmrkkblmbrbk	C-PRP	M4493821/13454518051261185036280033 : E104F723A5471E6F PRP: Verified PRP without proof (not generated)
2017-01-09	mikr	F-PM1	Factor: 13454518051261185036280033 / (P-1, B1=1800000, B2=68000000, E=12)
2016-02-23	Mark Rose	NF	no factor from 2^62 to 2^63
2015-06-27	snme2pm1	NF	no factor from 2^65 to 2^66
2014-12-02	Nesowa	NF-PM1	B1=260000, B2=5655000, E=12
2014-10-19	Joss	NF-PM1	B1=74283
2014-10-08	monst	NF	no factor from 2^64 to 2^65
2014-10-07	Jayder	NF	no factor from 2^63 to 2^64
2012-02-10	GrunwalderGIMP	NF	no factor from 2^1 to 2^63
2010-09-28	markr	NF	no factor from 2^61 to 2^62
2009-08-19	USAFSS	NF-PM1	B1=60000, B2=1050000, E=6