10 319 423 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
48579276822594477690351907045124143	35	115.2	2016-09-28 20:31:00

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)	2000-08-01	Jeff Malick	B895E304DDFAE2BC	4313364
Verified (Factored)	2004-04-29	Ars Technica Team Prime Rib	B895E304DDFAE2BC	8100557

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2020-04-02	Oliver Kruse	48E04A4840414B42	1	9392301	5	3
Verified	2021-02-21	monsted	48E04A4840414B42	1	2058763	5	3

History

Date	User	Type	Result
2021-02-25	curtisc	CERT	PRP Certification Proof certified good
2021-02-21	monsted	C-PRP	M10319423/48579276822594477690351907045124143 : 48E04A4840414B42 PRP proof power = 8 PRP: Verified Proof certified good
2020-04-02	Oliver Kruse	C-PRP	M10319423/48579276822594477690351907045124143 : 48E04A4840414B42 PRP: Verified PRP without proof (not generated)
2016-09-28	bam	F-ECM	Factor: 48579276822594477690351907045124143 / (ECM curve 1, B1=50000, B2=5000000)
2015-12-11	VictordeHollander	NF	no factor from 2^66 to 2^67
2015-04-29	Tha	NF	no factor from 2^65 to 2^66
2013-09-25	Nesowa	NF	no factor from 2^64 to 2^65
2013-06-09	Nesowa	NF-PM1	B1=125000, B2=2531250, E=6