13 619 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
27239	5	14.7	old
790496415854569	15	49.5	2008-08-26 19:58:40
49478447152949493463	20	65.4	2008-08-29 02:24:32
670530966540310631668321	24	79.1	2008-08-29 02:24:32

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1376 / 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	B04E3AF4EADF8E9F	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	B04E3AF4EADF8E9F	4	0	1	3
Verified	2017-12-07	ATH	B04E3AF4EADF8E9F	4	12057	1	3
Verified	2020-04-17	Oliver Kruse	DD4061666A6BE962	4	1702	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	DD4061666A6BE962	1	5811	5	3
Verified	2024-07-01	kkmrkkblmbrbk	DD4061666A6BE962	4	1789	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M13619/27239/49478447152949493463/670530966540310631668321/790496415854569 : DD4061666A6BE962 PRP: Verified PRP without proof (small exponent)
2024-01-29	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-20	JacobZ	NF-PM1	B1=8100000000, B2=31521845619113850
2022-05-12	Jorge Coveiro	C-PRP	M13619/27239 : DD4061666A6BE962 PRP: Verified PRP without proof (small exponent)
2022-03-04	Ethan O'Connor	NF-PM1	B1=1000000000, B2=249084233347950
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2020-04-17	Oliver Kruse	C-PRP	M13619/27239/790496415854569/49478447152949493463/670530966540310631668321 : DD4061666A6BE962 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M13619/27239/790496415854569/49478447152949493463/670530966540310631668321 : B04E3AF4EADF8E9F PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M13619/27239/790496415854569/49478447152949493463/670530966540310631668321 : B04E3AF4EADF8E9F PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13619/27239/790496415854569/49478447152949493463/670530966540310631668321 : B04E3AF4EADF8E9F PRP without proof (not generated)
2008-08-29	-Anonymous-	F-ECM	Factor: 670530966540310631668321
2008-08-29	-Anonymous-	F-ECM	Factor: 49478447152949493463
2008-08-26	-Anonymous-	F-PM1	Factor: 790496415854569