10 520 669 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
56226822596718569296079	23	75.6	2016-11-21 14:36:59

ECM

Digits	B1	Curves
25	50000	2 / 280

Estimated T-Level: 20.0 ⓘ

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

Status	Date	User	Residue	Shift
Verified (Factored)	2000-08-24	cbuchloh	4D5194B8F6A8ED7A	2299968
Bad	2004-03-26	Neubauer	2B4A9E72B75A0366	7559480
Verified (Factored)	2004-07-02	Shane Sanford	4D5194B8F6A8ED7A	3684998

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-09-15	fre_games	1B48C2542E1FC958	1	7316804	5	3
Verified	2021-03-08	rucio	1B48C2542E1FC958	1	8968457	5	3

History

Date	User	Type	Result
2021-03-08	Ben Delo	CERT	PRP Certification Proof certified good
2021-03-08	rucio	C-PRP	M10520669/56226822596718569296079 : 1B48C2542E1FC958 PRP proof power = 8 PRP: Verified Proof certified good
2020-09-15	fre_games	C-PRP	M10520669/56226822596718569296079 : 1B48C2542E1FC958 PRP: Verified PRP without proof (not generated)
2016-11-21	bam	F-ECM	Factor: 56226822596718569296079 / (ECM curve 1, B1=50000, B2=5000000)
2015-11-14	VictordeHollander	NF	no factor from 2^66 to 2^67
2015-05-06	Tha	NF	no factor from 2^65 to 2^66
2013-07-23	Nesowa	NF-PM1	B1=120000, B2=2130000, E=6
2013-07-04	David Campeau	NF	no factor from 2^64 to 2^65