348 407 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
34279029945185208446718619841	29	94.8	2019-03-22 14:04:11

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	304 / 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	1383	0
Verified (Factored)		Unknown	5383	0
Verified (Factored)		Guillermo Ballester Valor	1AED1BF16572D383	0
Verified (Factored)		Eivind Triel	1AED1BF16572D383	185964
Verified (Factored)	2002-02-03	Dennis Pope	1AED1BF16572D383	227973

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-03-22	ATH	C3AAB198EE8BF6FD	1	194631	5	3
Verified	2019-03-23	kkmrkkblmbrbk	C3AAB198EE8BF6FD	1	263160	5	3

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2019-03-23	kkmrkkblmbrbk	C-PRP	M348407/34279029945185208446718619841 : C3AAB198EE8BF6FD PRP: Verified PRP without proof (small exponent)
2019-03-22	ATH	C-PRP	M348407/34279029945185208446718619841 : C3AAB198EE8BF6FD PRP: Verified PRP without proof (small exponent)
2019-03-22	alex	F-ECM	Factor: 34279029945185208446718619841 / (ECM curve 128, B1=250000, B2=25000000, Sigma=7570558807061409)
2018-02-16	Gordon Spence	NF	no factor from 2^64 to 2^65
2018-02-04	BloodERazor	NF	no factor from 2^64 to 2^65
2016-10-31	mikr	NF-PM1	B1=60000000, B2=3000000000, E=12
2015-12-18	Gordon Spence	NF	no factor from 2^63 to 2^64
2015-12-18	Gordon Spence	NF	no factor from 2^62 to 2^63
2015-07-25	NR	NF	no factor from 2^61 to 2^62
2013-06-11	lycorn	NF	no factor from 2^60 to 2^61
2012-02-14	alpertron	NF-PM1	B1=10000000, B2=200000000, E=12
2011-08-14	Joss	NF-PM1	B1=1303647
2009-01-28	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