13 121 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
8883798075151	13	43.0	old
290310479097546074437362605040796310527	39	127.8	2021-09-13 20:13:44

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1386 / 9201

Estimated T-Level: 40.8 ⓘ

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	8CE135D75B37B59E	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	8CE135D75B37B59E	1	6804	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	88DD75E8482DCDAE	1	10072	5	3
Verified	2021-09-13	nordi	88DD75E8482DCDAE	2	9596	5	3
Verified	2021-09-13	SRJ2877	88DD75E8482DCDAE	2	4242	5	3

P-1 factors

Date	Factor	B1	B2
2023-10-10	290310479097546074437362605040796310527	100000000000	122154521813133808

History

Date	User	Type	Result
2023-10-10	-Anonymous-	F-PM1	Factor: 290310479097546074437362605040796310527 / (P-1, B1=100000000000, B2=122154521813133810)
2023-05-17	JacobZ	NF-PM1	B1=8400000000, B2=34523926202766000
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2021-09-13	SRJ2877	C-PRP	M13121/8883798075151/290310479097546074437362605040796310527 : 88DD75E8482DCDAE PRP: Verified PRP without proof (small exponent)
2021-09-13	nordi	C-PRP	M13121/8883798075151/290310479097546074437362605040796310527 : 88DD75E8482DCDAE PRP: Verified PRP without proof (small exponent)
2021-09-13	nordi	F-ECM	Factor: 290310479097546074437362605040796310527 / (ECM curve 363, B1=3000000, B2=528000000, Sigma=4821442541923566)
2020-04-17	Oliver Kruse	C-PRP	M13121/8883798075151 : 88DD75E8482DCDAE PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M13121/8883798075151 : 8CE135D75B37B59E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13121/8883798075151 : 8CE135D75B37B59E PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13121/8883798075151 : 8CE135D75B37B59E PRP without proof (not generated)