3 457 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
20743	5	14.3	old
12609801701711	14	43.5	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	14496 / 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	4423C7CABED4AF65	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	4423C7CABED4AF65	2	2469	1	3
Verified	2020-04-17	Oliver Kruse	1C6620FA96763E13	2	3448	5	3
Verified	2024-02-03	Wentao Huang	1C6620FA96763E13	2	687	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3457/20743/12609801701711 : 1C6620FA96763E13 PRP: Verified PRP without proof (small exponent)
2022-05-10	mikr	NF-PM1	B1=100000000000, B2=524347264460139120
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3457/20743/12609801701711 : 1C6620FA96763E13 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3457/20743/12609801701711 : 4423C7CABED4AF65 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3457/20743/12609801701711 : 4423C7CABED4AF65 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3457/20743/12609801701711 : 4423C7CABED4AF65 PRP without proof (not generated)