3 571 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
64279	5	16.0	old
199866090993376388761	21	67.4	old
13455285154349817337805045818309111	35	113.4	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	10440 / 40830

Estimated T-Level: 51.3 ⓘ

TF below 2^165 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	CF4ADAF139EBAF64	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	CF4ADAF139EBAF64	3	0	1	3
Verified	2017-12-07	ATH	CF4ADAF139EBAF64	3	914	1	3
Verified	2020-04-17	Oliver Kruse	F6D69D3E8EB135A5	3	3156	5	3
Verified	2024-02-03	Wentao Huang	F6D69D3E8EB135A5	3	2111	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3571/64279/199866090993376388761/13455285154349817337805045818309111 : F6D69D3E8EB135A5 PRP: Verified PRP without proof (small exponent)
2022-06-17	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	M3571/64279/199866090993376388761/13455285154349817337805045818309111 : F6D69D3E8EB135A5 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M3571/64279/199866090993376388761/13455285154349817337805045818309111 : CF4ADAF139EBAF64 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M3571/64279/199866090993376388761/13455285154349817337805045818309111 : CF4ADAF139EBAF64 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3571/known_factors : CF4ADAF139EBAF64 PRP without proof (not generated)