14 369 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
7286547626738519	16	52.7	old

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	BC5B3DCEC75CBEED	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	BC5B3DCEC75CBEED	1	11766	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	2F828F33FEA36954	1	1242	5	3
Verified	No proof (small exponent)	2024-07-01	kkmrkkblmbrbk	2F828F33FEA36954	1	10864	5	3

History

Date	User	Type	Result
2025-02-13	masser	NF-PP1	Start=100/23, B1=355000000, B2=354645000000
2025-02-07	masser	NF-PP1	Start=2/7, B1=355000000, B2=354645000000
2025-01-19	masser	NF-PP1	Start=6/5, B1=355000000, B2=354645000000
2024-07-01	kkmrkkblmbrbk	C-PRP	M14369/7286547626738519 : 2F828F33FEA36954
2023-11-30	-anonymous-	NF-PM1	B1=100000000000, B2=122815096988293710
2023-05-24	JacobZ	NF-PM1	B1=7600000000, B2=30020805351537000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1000000000, B2=3088390743498060
2020-04-17	Oliver Kruse	C-PRP	M14369/7286547626738519 : 2F828F33FEA36954
2017-10-12	kkmrkkblmbrbk	C-PRP	M14369/7286547626738519 : BC5B3DCEC75CBEED
2017-09-21	Oliver Kruse	C-PRP	M14369/7286547626738519 : BC5B3DCEC75CBEED
2017-09-21	Oliver Kruse	C-PRP	M14369/7286547626738519 : BC5B3DCEC75CBEED