5 659 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
867830287	9	29.7	old
1388629323617	13	40.3	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	5113 / 16550

Estimated T-Level: 46.5 ⓘ

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	0D4415C81B5BCD81	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	0D4415C81B5BCD81	2	3662	1	3
Verified	2020-04-17	Oliver Kruse	3C1E5BB55E6216ED	2	5606	5	3
Verified	2024-02-03	Wentao Huang	3C1E5BB55E6216ED	2	4579	5	3

History

Date	User	Type	Result
2024-11-21	mikr	NF-PM1	B1=500000000000, B2=1405366866901097100
2024-02-03	Wentao Huang	C-PRP	M5659/867830287/1388629323617 : 3C1E5BB55E6216ED PRP: Verified PRP without proof (small exponent)
2023-07-17	-Anonymous-	NF-PM1	B1=44000000000, B2=181125525847266000
2022-01-24	Ethan O'Connor	NF-PM1	B1=1300000000
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1006836580309560
2020-04-17	Oliver Kruse	C-PRP	M5659/867830287/1388629323617 : 3C1E5BB55E6216ED PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M5659/867830287/1388629323617 : 0D4415C81B5BCD81 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5659/867830287/1388629323617 : 0D4415C81B5BCD81 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M5659/867830287/1388629323617 : 0D4415C81B5BCD81 PRP without proof (not generated)