4 451 653 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
20092902621557222292323081417	29	94.0	2016-12-02 20:51:13

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)	1998-03-31	Brian Jongekryg	2780295E5ECEF052	0
Verified (Factored)	2000-03-27	Jim Smola	2780295E5ECEF052	3131511

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-11-17	kkmrkkblmbrbk	5B94EB33C0D2CF6E	1	3651865	5	3
Verified	2018-02-14	Oliver Kruse	5B94EB33C0D2CF6E	1	1140654	5	3

P-1 factors

Date	Factor	B1	B2
2016-12-02	20092902621557222292323081417	1800000	68000000

History

Date	User	Type	Result
2021-08-06	Dylan Delgado	NF-PM1	B1=2340000, B2=201240000
2018-02-14	Oliver Kruse	C-PRP	M4451653/20092902621557222292323081417 : 5B94EB33C0D2CF6E PRP: Verified PRP without proof (not generated)
2017-11-17	kkmrkkblmbrbk	C-PRP	M4451653/20092902621557222292323081417 : 5B94EB33C0D2CF6E PRP: Verified PRP without proof (not generated)
2016-12-02	mikr	F-PM1	Factor: 20092902621557222292323081417 / (P-1, B1=1800000, B2=68000000, E=12)
2016-02-23	Mark Rose	NF	no factor from 2^61 to 2^63
2015-06-24	snme2pm1	NF	no factor from 2^65 to 2^66
2014-09-15	monst	NF	no factor from 2^64 to 2^65
2014-09-15	Jayder	NF	no factor from 2^63 to 2^64
2012-02-03	GrunwalderGIMP	NF	no factor from 2^1 to 2^63