8 539 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
13662401	8	23.7	old
10089972727	11	33.2	old
528685518380687	15	48.9	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	5575 / 16550

Estimated T-Level: 46.7 ⓘ

TF below 2^150 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	475594DFA5D8EDB4	3	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	475594DFA5D8EDB4	3	5539	1	3
Verified	2020-04-17	Oliver Kruse	7600BBE394290C80	3	5938	5	3
Verified	2024-07-01	kkmrkkblmbrbk	7600BBE394290C80	3	2405	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M8539/10089972727/13662401/528685518380687 : 7600BBE394290C80 PRP: Verified PRP without proof (small exponent)
2023-08-18	JacobZ	NF-PM1	B1=69000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M8539/13662401/10089972727/528685518380687 : 7600BBE394290C80 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8539/13662401/10089972727/528685518380687 : 475594DFA5D8EDB4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8539/13662401/10089972727/528685518380687 : 475594DFA5D8EDB4 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8539/13662401/10089972727/528685518380687 : 475594DFA5D8EDB4 PRP without proof (not generated)