14 519 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
409551953	9	28.6	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1427 / 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	DDA460A869DDDDAB	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	DDA460A869DDDDAB	1	2486	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	81921E4B6F241062	1	10384	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	81921E4B6F241062	1	13320	5	3

History

Date	User	Type	Result
2025-02-12	masser	NF-PP1	Start=103/71, B1=355000000, B2=354645000000
2025-02-06	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	M14519/409551953 : 81921E4B6F241062
2024-02-09	-anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-25	JacobZ	NF-PM1	B1=7500000000, B2=29520458628010350
2021-08-01	ViliamF	NF-PM1	B1=250000000, B2=42750000000
2020-04-17	Oliver Kruse	C-PRP	M14519/409551953 : 81921E4B6F241062
2017-10-12	kkmrkkblmbrbk	C-PRP	M14519/409551953 : DDA460A869DDDDAB
2017-09-21	Oliver Kruse	C-PRP	M14519/409551953 : DDA460A869DDDDAB
2017-09-21	Oliver Kruse	C-PRP	M14519/409551953 : DDA460A869DDDDAB