3 557 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
426841	6	18.7	old
2952311	7	21.5	old
66957592921108564764663943	26	85.8	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	14876 / 40830

Estimated T-Level: 51.8 ⓘ

TF below 2^167 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	F26C20F0AD9F78A1	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	F26C20F0AD9F78A1	3	0	1	3
Verified	2017-12-07	ATH	F26C20F0AD9F78A1	3	2471	1	3
Verified	2020-04-17	Oliver Kruse	81604A461614F548	3	685	5	3
Verified	2024-02-03	Wentao Huang	81604A461614F548	3	2869	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3557/426841/2952311/66957592921108564764663943 : 81604A461614F548 PRP: Verified PRP without proof (small exponent)
2022-06-13	mikr	NF-PM1	B1=100000000000, B2=262205522487458550
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3557/426841/2952311/66957592921108564764663943 : 81604A461614F548 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3557/426841/2952311/66957592921108564764663943 : F26C20F0AD9F78A1 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3557/426841/2952311/66957592921108564764663943 : F26C20F0AD9F78A1 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3557/known_factors : F26C20F0AD9F78A1 PRP without proof (not generated)