14 437 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 2 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
83199324898965857	17	56.2	2008-08-29 02:24:34
32495428435533859777	20	64.8	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1428 / 9201

Estimated T-Level: 40.8 ⓘ

TF below 2^130 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	E226B0C6B7D2BDAA	2	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	E226B0C6B7D2BDAA	2	12289	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	761F549360266E54	2	5110	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	761F549360266E54	2	13597	5	3

History

Date	User	Type	Result
2025-02-12	masser	NF-PP1	Start=168/41, B1=355000000, B2=354645000000
2025-02-07	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-18	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14437/32495428435533859777/83199324898965857 : 761F549360266E54
2023-11-30	-anonymous-	NF-PM1	B1=100000000000, B2=122815096988293710
2022-02-18	Ethan O'Connor	NF-PM1	B1=2000000000, B2=31239752047063560
2022-01-24	Ethan O'Connor	NF-PM1	B1=2000000000, B2=2140598220
2020-04-17	Oliver Kruse	C-PRP	M14437/83199324898965857/32495428435533859777 : 761F549360266E54
2017-10-12	kkmrkkblmbrbk	C-PRP	M14437/83199324898965857/32495428435533859777 : E226B0C6B7D2BDAA
2017-09-21	Oliver Kruse	C-PRP	M14437/32495428435533859777/83199324898965857 : E226B0C6B7D2BDAA
2017-09-21	Oliver Kruse	C-PRP	M14437/32495428435533859777/83199324898965857 : E226B0C6B7D2BDAA
2008-08-29	-anonymous-	F-ECM	Factor: 83199324898965857