14 891 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
476513	6	18.9	old
251240953	9	27.9	2008-08-26 19:58:44
980629858958878439	18	59.8	2008-08-29 02:24:36
2858383002824988025201	22	71.3	2008-08-29 02:24:36

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1368 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	7812DF525FA54510	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	7812DF525FA54510	4	0	1	3
Verified	2017-12-07	ATH	7812DF525FA54510	4	7139	1	3
Verified	2020-04-17	Oliver Kruse	FD476883D09A061D	4	1740	5	3
Verified	2024-07-01	kkmrkkblmbrbk	FD476883D09A061D	4	3119	5	3

P-1 factors

Date	Factor	B1	B2
2024-05-21	980629858958878439	1000000000000	1401075893663576064

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M14891/251240953/2858383002824988025201/476513/980629858958878439 : FD476883D09A061D PRP: Verified PRP without proof (small exponent)
2024-05-21	Anton Repko	F-PM1	Factor: 980629858958878439 / (P-1, B1=1000000000000, B2=1401075893663576130)
2022-02-18	Ethan O'Connor	NF-PM1	B1=10000000000, B2=91244305394882640
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M14891/476513/251240953/980629858958878439/2858383002824988025201 : FD476883D09A061D PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M14891/476513/251240953/980629858958878439/2858383002824988025201 : 7812DF525FA54510 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M14891/476513/251240953/980629858958878439/2858383002824988025201 : 7812DF525FA54510 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M14891/476513/251240953/980629858958878439/2858383002824988025201 : 7812DF525FA54510 PRP without proof (not generated)
2008-08-29	-Anonymous-	F-ECM	Factor: 2858383002824988025201
2008-08-29	-Anonymous-	F-ECM	Factor: 980629858958878439
2008-08-26	-Anonymous-	F	Factor: 251240953