345 997 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
7207574820089669163993121321	28	92.5	2016-10-27 12:52:01

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	378 / 640

Estimated T-Level: 28.0 ⓘ

TF below 2^88 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		David Slowinski	2395	0
Verified (Factored)		Unknown	6395	0
Verified (Factored)		Guillermo Ballester Valor	BCD7849A198DE395	0
Verified (Factored)		Eivind Triel	BCD7849A198DE395	82957
Verified (Factored)	2002-02-03	Dennis Pope	BCD7849A198DE395	213056

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-23	Oliver Kruse	62C3AB758BACB268	1	0	1	3
Verified	2017-10-13	Oliver Kruse	62C3AB758BACB268	1	216257	1	3
Verified	2017-12-13	ATH	62C3AB758BACB268	1	149245	1	3
Unverified (Reliable)	2020-04-18	Oliver Kruse	E985109756F1F7__	1	171942	5	3

P-1 factors

Date	Factor	B1	B2
2016-10-27	7207574820089669163993121321	60000000	3000000000

History

Date	User	Type	Result
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2020-04-18	Oliver Kruse	C-PRP	M345997/7207574820089669163993121321 : E985109756F1F7__ PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-12-13	ATH	C-PRP	M345997/7207574820089669163993121321 : 62C3AB758BACB268 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-10-13	Oliver Kruse	C-PRP	M345997/7207574820089669163993121321 : 62C3AB758BACB268 PRP: Unverified (Reliable) PRP without proof (small exponent)
2017-09-23	Oliver Kruse	C-PRP	M345997/7207574820089669163993121321 : 62C3AB758BACB268 PRP: Unverified (Reliable) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M345997/7207574820089669163993121321 : 62C3AB758BACB268 PRP without proof (not generated)
2016-10-27	mikr	F-PM1	Factor: 7207574820089669163993121321 / (P-1, 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
2013-06-29	Sid & Andy	NF	no factor from 2^60 to 2^61
2010-05-05	Bud	NF-PM1	B1=10000000, B2=200000000, E=12
2009-01-27	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