14 419 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
439058551	9	28.7	old
13946397004914134191	20	63.6	2008-08-26 19:58:43
14261949491135227849661341471	29	93.5	2009-07-08 13:19:42

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1425 / 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	A70E9D9CBDFB88B1	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	A70E9D9CBDFB88B1	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	A70E9D9CBDFB88B1	3	2811	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	0F788E281FC2DB90	3	4642	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	0F788E281FC2DB90	3	6238	5	3

History

Date	User	Type	Result
2025-02-12	masser	NF-PP1	Start=102/29, B1=355000000, B2=354645000000
2025-02-07	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-17	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14419/13946397004914134191/14261949491135227849661341471/439058551 : 0F788E281FC2DB90
2023-11-30	-anonymous-	NF-PM1	B1=100000000000, B2=122815096988293710
2022-01-25	Ethan O'Connor	NF-PM1	B1=2000000000, B2=20962314425952900
2022-01-24	Ethan O'Connor	NF-PM1	B1=2000000000, B2=2280845250
2020-04-17	Oliver Kruse	C-PRP	M14419/439058551/13946397004914134191/14261949491135227849661341471 : 0F788E281FC2DB90
2019-09-04	Bigos2	F-ECM	Factor: 439058551
2017-12-07	ATH	C-PRP	M14419/439058551/13946397004914134191/14261949491135227849661341471 : A70E9D9CBDFB88B1
2017-10-02	kkmrkkblmbrbk	C-PRP	M14419/439058551/13946397004914134191/14261949491135227849661341471 : A70E9D9CBDFB88B1
2017-09-21	Oliver Kruse	C-PRP	M14419/439058551/13946397004914134191/14261949491135227849661341471 : A70E9D9CBDFB88B1
2009-07-08	Rob_Dee	F-ECM	Factor: 14261949491135227849661341471
2008-08-26	-anonymous-	F-ECM	Factor: 13946397004914134191