4 513 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
135391	6	17.0	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	15890 / 40830

Estimated T-Level: 51.9 ⓘ

TF below 2^168 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	CFE63A465396CA51	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	CFE63A465396CA51	1	1793	1	3
Verified	2020-04-17	Oliver Kruse	6FFA09AA2BDD9EE6	1	506	5	3
Verified	2024-02-03	Wentao Huang	6FFA09AA2BDD9EE6	1	2458	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M4513/135391 : 6FFA09AA2BDD9EE6 PRP: Verified PRP without proof (small exponent)
2023-05-24	-Anonymous-	NF-PM1	B1=71000000000, B2=711884755657775700
2021-07-07	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-04-17	Oliver Kruse	C-PRP	M4513/135391 : 6FFA09AA2BDD9EE6 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4513/135391 : CFE63A465396CA51 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4513/135391 : CFE63A465396CA51 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4513/135391 : CFE63A465396CA51 PRP without proof (not generated)