14 221 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
55938879370856475466655577658472309580401039	44	145.3	2015-11-16 09:27:24

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9198 / 9201

Estimated T-Level: 45.0 ⓘ

TF below 2^144 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Shift
Verified (Factored)		Unknown	213F	0
Verified (Factored)		George Woltman	4649C4A08FBEA13F	0
Verified (Factored)		Brian J. Beesley	4649C4A08FBEA13F	0
Verified (Factored)	2015-04-11	MadPoo	4649C4A08FBEA13F	689

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	845F1A2F6D0FED70	1	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	845F1A2F6D0FED70	1	0	1	3
Verified	2017-12-07	ATH	845F1A2F6D0FED70	1	10789	1	3
Verified	2020-04-17	Oliver Kruse	D24B74BA91D1C938	1	3019	5	3
Verified	2024-07-01	kkmrkkblmbrbk	D24B74BA91D1C938	1	1163	5	3

P-1 factors

Date	Factor	B1	B2
2024-01-29	55938879370856475466655577658472309580401039	100000000000	122154521813133808

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M14221/55938879370856475466655577658472309580401039 : D24B74BA91D1C938 PRP: Verified PRP without proof (small exponent)
2024-01-29	-Anonymous-	F-PM1	Factor: 55938879370856475466655577658472309580401039 / (P-1, B1=100000000000, B2=122154521813133810)
2023-05-24	JacobZ	NF-PM1	B1=7700000000, B2=32522539163164050
2020-04-17	Oliver Kruse	C-PRP	M14221/55938879370856475466655577658472309580401039 : D24B74BA91D1C938 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M14221/55938879370856475466655577658472309580401039 : 845F1A2F6D0FED70 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M14221/55938879370856475466655577658472309580401039 : 845F1A2F6D0FED70 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14221/55938879370856475466655577658472309580401039 : 845F1A2F6D0FED70 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14221/55938879370856475466655577658472309580401039 : 845F1A2F6D0FED70 PRP without proof (not generated)
2015-11-16	Carsten Kossendey	F-ECM	Factor: 55938879370856475466655577658472309580401039 / (ECM curve 1099, B1=11000000, B2=1100000000)
2015-08-17	snme2pm1	NF	no factor from 2^61 to 2^62
2015-04-11	MadPoo	C-LL	4649C4A08FBEA13F
2013-03-10	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=613702370
2011-05-18	Joss	NF-PM1	B1=400000000
2010-07-11	George Woltman	NF	no factor from 2^59 to 2^60
2010-07-11	George Woltman	NF	no factor from 2^58 to 2^59