14 173 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
5451595560230412055196637501309406085341593764073929	52	171.9	2017-06-06 22:21:15

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	2922 / 16550

Estimated T-Level: 45.9 ⓘ

TF below 2^147 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	316C	0
Verified (Factored)		George Woltman	D0F5E681BBD5B16C	0
Verified (Factored)		Brian J. Beesley	D0F5E681BBD5B16C	0
Verified (Factored)	2015-04-11	MadPoo	D0F5E681BBD5B16C	883

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	59F48984838C56B4	1	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	59F48984838C56B4	1	0	1	3
Verified	2017-12-07	ATH	59F48984838C56B4	1	13833	1	3
Verified	2020-04-17	Oliver Kruse	D5788D09E7B08C37	1	1304	5	3
Verified	2024-07-01	kkmrkkblmbrbk	D5788D09E7B08C37	1	4456	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M14173/5451595560230412055196637501309406085341593764073929 : D5788D09E7B08C37 PRP: Verified PRP without proof (small exponent)
2024-01-29	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-23	JacobZ	NF-PM1	B1=7700000000, B2=32522539163164050
2020-04-17	Oliver Kruse	C-PRP	M14173/5451595560230412055196637501309406085341593764073929 : D5788D09E7B08C37 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M14173/5451595560230412055196637501309406085341593764073929 : 59F48984838C56B4 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M14173/5451595560230412055196637501309406085341593764073929 : 59F48984838C56B4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14173/5451595560230412055196637501309406085341593764073929 : 59F48984838C56B4 PRP without proof (not generated)
2017-06-06	Sid & Andy	F-ECM	Factor: 5451595560230412055196637501309406085341593764073929 / (ECM curve 30, B1=44000000, B2=4400000000)
2016-07-29	Sid & Andy	NF	no factor from 2^62 to 2^63
2016-02-23	LaurV	NF	no factor from 2^57 to 2^58
2015-08-27	snme2pm1	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	D0F5E681BBD5B16C
2013-03-07	bcp19	NF-PM1	B1=10000000000, B2=100000000000, E=12
2012-12-25	bcp19	NF	no factor from 2^60 to 2^61
2012-10-12	Joss	NF-PM1	B1=616614154
2011-05-18	Joss	NF-PM1	B1=400000000
2010-07-04	George Woltman	NF	no factor from 2^59 to 2^60
2010-07-04	George Woltman	NF	no factor from 2^58 to 2^59