13 313 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1065041	7	20.0	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1382 / 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	2017-09-21	Oliver Kruse	2BD2B76138E6A0C7	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	2BD2B76138E6A0C7	1	489	1	3
Verified	2020-04-17	Oliver Kruse	86E3677A07CCEA06	1	10258	5	3
Verified	2024-07-01	kkmrkkblmbrbk	86E3677A07CCEA06	1	13183	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M13313/1065041 : 86E3677A07CCEA06 PRP: Verified PRP without proof (small exponent)
2023-12-19	-Anonymous-	NF-PM1	B1=100000000000, B2=122154521813133810
2023-05-18	JacobZ	NF-PM1	B1=8300000000, B2=34023579430740900
2022-02-05	Joss	NF-PM1	B1=1000000, B2=3910366209750
2020-04-17	Oliver Kruse	C-PRP	M13313/1065041 : 86E3677A07CCEA06 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M13313/1065041 : 2BD2B76138E6A0C7 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13313/1065041 : 2BD2B76138E6A0C7 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M13313/1065041 : 2BD2B76138E6A0C7 PRP without proof (not generated)