8 609 129 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
720427141327300941965316703	27	89.2	2021-11-28 15:42:23

ECM

Digits	B1	Curves
25	50000	10 / 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)	2000-04-12	Dave Walker	1F71B13D8196364B	1558610
Verified (Factored)	2003-01-16	Rob Summerson	1F71B13D8196364B	1568760

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2021-12-04	LaurV	31AD46D3A0D8EDC2	1	3947138	5	3

History

Date	User	Type	Result
2021-12-04	Staffan Soderhjelm	CERT	PRP Certification Proof certified good
2021-12-04	LaurV	C-PRP	M8609129/720427141327300941965316703 : 31AD46D3A0D8EDC2 PRP proof power = 8 PRP: Verified Proof certified good
2021-11-28	masser	F-PP1	Start=2/7, B1=375000, B2=8625000, Factor: 720427141327300941965316703
2021-10-05	SRBase	NF	no factor from 2^71 to 2^72
2021-08-27	SRBase	NF	no factor from 2^70 to 2^71
2021-08-20	SRBase	NF	no factor from 2^69 to 2^70
2019-11-13	masser	NF	no factor from 2^68 to 2^69
2018-04-05	monst	NF	no factor from 2^67 to 2^68
2016-02-01	snme2pm1	NF	no factor from 2^66 to 2^67
2015-05-25	VictordeHollander	NF	no factor from 2^65 to 2^66
2013-11-04	David Campeau	NF	no factor from 2^64 to 2^65
2012-10-17	Nesowa	NF-PM1	B1=100000, B2=1850000, E=6
2012-05-31	Oscar Östlin	NF-PM1	B1=55000, B2=852500, E=6