340 321 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
2351648588389526522700983978353	31	100.9	2019-03-29 05:05:05

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	301 / 640

Estimated T-Level: 27.4 ⓘ

TF below 2^86 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	3C51	0
Verified (Factored)		Unknown	3C51	0
Verified (Factored)		Guillermo Ballester Valor	FC0FD9AE01233C51	0
Verified (Factored)		Eivind Triel	FC0FD9AE01233C51	163319
Verified (Factored)	2002-01-15	Dennis Pope	FC0FD9AE01233C51	28353

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-03-30	artorollo	74D02DB542288B56	1	56504	5	3
Verified	2019-03-30	ANONYMOUS	74D02DB542288B56	1	53364	5	3
Verified	2019-03-30	kkmrkkblmbrbk	74D02DB542288B56	1	90993	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2019-03-30	kkmrkkblmbrbk	C-PRP	M340321/2351648588389526522700983978353 : 74D02DB542288B56 PRP: Verified PRP without proof (small exponent)
2019-03-30	ANONYMOUS	C-PRP	M340321/2351648588389526522700983978353 : 74D02DB542288B56 PRP: Verified PRP without proof (small exponent)
2019-03-30	artorollo	C-PRP	M340321/2351648588389526522700983978353 : 74D02DB542288B56 PRP: Verified PRP without proof (small exponent)
2019-03-29	alex	F-ECM	Factor: 2351648588389526522700983978353 / (ECM curve 31, B1=250000, B2=25000000, Sigma=3493406436464031)
2018-02-16	Gordon Spence	NF	no factor from 2^64 to 2^65
2016-09-22	mikr	NF-PM1	B1=60000000, B2=3000000000, E=12
2015-12-15	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-15	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-25	NR	NF	no factor from 2^61 to 2^62
2013-05-25	Sid & Andy	NF	no factor from 2^60 to 2^61
2012-02-07	alpertron	NF-PM1	B1=10000000, B2=200000000, E=12
2011-08-10	Joss	NF-PM1	B1=1343949
2009-01-24	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