7 351 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
68395426428631245237167716855062743466651615583157434009	56	185.5	2019-06-22 03:02:05

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	25519 / 40830

Estimated T-Level: 53.1 ⓘ

TF below 2^171 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	4755	0
Verified (Factored)		George Woltman	48A6C4D502DBC755	0
Verified (Factored)		Brian J. Beesley	48A6C4D502DBC755	0
Verified (Factored)	2015-04-11	MadPoo	48A6C4D502DBC755	3232

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2019-06-22	ATH	F49139D6FBDF21C7	1	5951	5	3
Verified	2019-06-23	kkmrkkblmbrbk	F49139D6FBDF21C7	1	5578	5	3
Verified	2020-04-17	Oliver Kruse	F49139D6FBDF21C7	1	855	5	3

History

Date	User	Type	Result
2023-08-30	-Anonymous-	NF-PM1	B1=33000000000, B2=136591402877229300
2020-04-17	Oliver Kruse	C-PRP	M7351/68395426428631245237167716855062743466651615583157434009 : F49139D6FBDF21C7 PRP: Verified PRP without proof (small exponent)
2019-06-23	kkmrkkblmbrbk	C-PRP	M7351/68395426428631245237167716855062743466651615583157434009 : F49139D6FBDF21C7 PRP: Verified PRP without proof (small exponent)
2019-06-22	ATH	C-PRP	M7351/68395426428631245237167716855062743466651615583157434009 : F49139D6FBDF21C7 PRP: Verified PRP without proof (small exponent)
2019-06-22	Ryan Propper	F-ECM	Factor: 68395426428631245237167716855062743466651615583157434009
2018-09-04	snme2pm1	NF	no factor from 2^63 to 2^64
2016-12-17	snme2pm1	NF	no factor from 2^62 to 2^63
2016-11-19	-Anonymous-	NF-PM1	B1=100000000000, B2=1000000000000, E=12
2016-11-17	-Anonymous-	NF-PM1	B1=40000000000, B2=400000000000, E=12
2016-11-17	-Anonymous-	NF-PM1	B1=20000000000, B2=200000000000, E=12
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-07-13	Sid & Andy	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	48A6C4D502DBC755
2012-12-10	SRJ2877	NF-PM1	B1=12500000000, B2=250000000000, E=12
2012-11-08	bcp19	NF	no factor from 2^60 to 2^61
2010-08-10	chalsall	NF	no factor from 2^59 to 2^60
2010-08-10	chalsall	NF	no factor from 2^58 to 2^59