7 268 857 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
22135479214637884312887609241	29	94.2	2020-02-28 23:26:14

ECM

Digits	B1	Curves
25	50000	6 / 280

Estimated T-Level: 20.1 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	1999-06-15	Brian Ball	0BEC9D5125C73BF8	5590719
Verified (Factored)	2002-01-02	Richard Gaspari	0BEC9D5125C73BF8	5249755

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-02-29	Niels_Mache_Nextcloud	FA1A420ACA23FC2B	1	5656087	5	3
Verified	2020-03-02	marssystems	FA1A420ACA23FC2B	1	3299966	5	3

P-1 factors

Date	Factor	B1	B2
2020-02-28	22135479214637884312887609241	388511	7770226

History

Date	User	Type	Result
2020-03-02	marssystems	C-PRP	M7268857/22135479214637884312887609241 : FA1A420ACA23FC2B PRP: Verified PRP without proof (not generated)
2020-02-29	Niels_Mache_Nextcloud	C-PRP	M7268857/22135479214637884312887609241 : FA1A420ACA23FC2B PRP: Verified PRP without proof (not generated)
2020-02-28	GdS	F-PM1	Factor: 22135479214637884312887609241 / (P-1, B1=388511, B2=7770226, E=12)
2018-08-03	ramgeis	NF	no factor from 2^67 to 2^68
2016-10-18	Gordon Spence	NF	no factor from 2^66 to 2^67
2015-06-16	VictordeHollander	NF	no factor from 2^65 to 2^66
2013-11-16	David Campeau	NF	no factor from 2^64 to 2^65
2013-11-03	Nesowa	NF	no factor from 2^63 to 2^64
2012-07-30	Nesowa	NF-PM1	B1=90000, B2=1620000, E=6