345 547 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
1286663083528665096302057439041	31	100.0	2019-03-22 10:08:04

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	234 / 640

Estimated T-Level: 26.8 ⓘ

TF below 2^84 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	1BC6	0
Verified (Factored)		Unknown	5BC6	0
Verified (Factored)		Guillermo Ballester Valor	74F53E3F448ADBC6	0
Verified (Factored)		Eivind Triel	74F53E3F448ADBC6	340602
Verified (Factored)	2002-01-22	Dennis Pope	74F53E3F448ADBC6	241643

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-03-23	ANONYMOUS	E6AA9BFED85CCC5A	1	181147	5	3
Verified	2019-03-25	roemer2201	E6AA9BFED85CCC5A	1	845	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2019-03-25	roemer2201	C-PRP	M345547/1286663083528665096302057439041 : E6AA9BFED85CCC5A PRP: Verified PRP without proof (small exponent)
2019-03-23	ANONYMOUS	C-PRP	M345547/1286663083528665096302057439041 : E6AA9BFED85CCC5A PRP: Verified PRP without proof (small exponent)
2019-03-22	alex	F-ECM	Factor: 1286663083528665096302057439041 / (ECM curve 58, B1=250000, B2=25000000, Sigma=6358646853275092)
2018-02-16	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-10-27	mikr	NF-PM1	B1=60000000, B2=3000000000, E=12
2015-12-17	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-17	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-25	NR	NF	no factor from 2^61 to 2^62
2013-06-20	Sid & Andy	NF	no factor from 2^60 to 2^61
2010-05-05	Bud	NF-PM1	B1=10000000, B2=200000000, E=12
2009-01-26	Sturle Sunde	NF	no factor from 2^59 to 2^60
2008-12-31	Sturle Sunde	NF	no factor from 2^58 to 2^59