14 843 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
474977	6	18.9	old
4030301033435249	16	51.8	2008-08-26 19:58:44
736150214021936177	18	59.4	2008-08-26 19:58:44

P-1 factors

Date	Factors	B1	B2
2022-03-18	No new factors discovered	100000000	100000000

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1491 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^131 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	0F5AF864B44B9BAB	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	0F5AF864B44B9BAB	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	0F5AF864B44B9BAB	3	6443	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	A36ED1BA3E5BA8AA	3	10786	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	A36ED1BA3E5BA8AA	3	14279	5	3

History

Date	User	Type	Result
2025-02-04	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-02-03	masser	NF-PP1	Start=135/13, B1=355000000, B2=354645000000
2025-01-14	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14843/4030301033435249/474977/736150214021936177 : A36ED1BA3E5BA8AA
2024-03-07	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2022-03-19	Ethan O'Connor	NF-PM1	B1=10000000000, B2=32998267132600770
2022-03-18	onlinegame	F-PM1	Factor: 1409212571099418091730475658444537304321 / B1=100000000
2022-02-06	ANONYMOUS	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M14843/474977/4030301033435249/736150214021936177 : A36ED1BA3E5BA8AA
2017-12-07	ATH	C-PRP	M14843/474977/4030301033435249/736150214021936177 : 0F5AF864B44B9BAB
2017-10-02	kkmrkkblmbrbk	C-PRP	M14843/474977/4030301033435249/736150214021936177 : 0F5AF864B44B9BAB
2017-09-21	Oliver Kruse	C-PRP	M14843/474977/4030301033435249/736150214021936177 : 0F5AF864B44B9BAB
2017-09-21	Oliver Kruse	C-PRP	M14843/474977/4030301033435249/736150214021936177 : 0F5AF864B44B9BAB
2008-08-26	-anonymous-	F-ECM	Factor: 736150214021936177
2008-08-26	-anonymous-	F-PM1	Factor: 4030301033435249