345 461 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
5948947200094371098399138503	28	92.3	2019-04-01 03:26:29

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	342 / 640

Estimated T-Level: 27.7 ⓘ

TF below 2^87 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	76C	0
Verified (Factored)		Unknown	476C	0
Verified (Factored)		Guillermo Ballester Valor	A827B4FC76B7476C	0
Verified (Factored)		Eivind Triel	A827B4FC76B7476C	280643
Verified (Factored)	2002-01-22	Dennis Pope	A827B4FC76B7476C	326023

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-04-02	M8909387	FC35C911AF5C4CB0	1	239853	5	3
Verified	2019-04-02	ATH	FC35C911AF5C4CB0	1	139550	5	3
Verified	2019-04-02	ANONYMOUS	FC35C911AF5C4CB0	1	252125	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2019-04-02	ANONYMOUS	C-PRP	M345461/5948947200094371098399138503 : FC35C911AF5C4CB0 PRP: Verified PRP without proof (small exponent)
2019-04-02	ATH	C-PRP	M345461/5948947200094371098399138503 : FC35C911AF5C4CB0 PRP: Verified PRP without proof (small exponent)
2019-04-02	M8909387	C-PRP	M345461/5948947200094371098399138503 : FC35C911AF5C4CB0 PRP: Verified PRP without proof (small exponent)
2019-04-01	alex	F-ECM	Factor: 5948947200094371098399138503 / (ECM curve 165, B1=250000, B2=25000000, Sigma=6873927065947563)
2018-02-16	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-10-31	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
2013-06-19	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
2008-12-30	Sturle Sunde	NF	no factor from 2^58 to 2^59