13 499 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1072945458222850090969	22	69.9	old
3736272296896239593531734515538671948941302673	46	151.4	2023-06-06 23:57:02

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1256 / 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 (Factored)	2017-09-21	Oliver Kruse	2392F9090F2DEF30	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	2392F9090F2DEF30	1	5926	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	1DB90B270081E0F1	1	10372	5	3
Verified	2023-06-06	Denial140	1DB90B270081E0F1	2	2588	5	3

History

Date	User	Type	Result
2024-01-29	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-06-06	Denial140	C-PRP	M13499/1072945458222850090969/3736272296896239593531734515538671948941302673 : 1DB90B270081E0F1 PRP: Verified PRP without proof (small exponent)
2023-06-06	Denial140	F-ECM	Factor: 3736272296896239593531734515538671948941302673 / (ECM curve 39, B1=3000000, B2=22972799850, Sigma=3840521954628646)
2023-05-19	JacobZ	NF-PM1	B1=8100000000, B2=31521845619113850
2022-02-05	Joss	NF-PM1	B1=1000000, B2=2389799412000
2020-04-17	Oliver Kruse	C-PRP	M13499/1072945458222850090969 : 1DB90B270081E0F1 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M13499/1072945458222850090969 : 2392F9090F2DEF30 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13499/1072945458222850090969 : 2392F9090F2DEF30 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13499/1072945458222850090969 : 2392F9090F2DEF30 PRP without proof (not generated)