3 571 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

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

Trial Factored to 2⁶⁸

TF target 2⁴⁴

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	10486 / 40830

Estimated T-Level: 51.3 ⓘ

TF below 2^165 is very unlikely to find new factors due to ECM effort.

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	No proof (small exponent)	2017-09-21	Oliver Kruse	CF4ADAF139EBAF64	3	0	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	CF4ADAF139EBAF64	3	0	1	3
Verified	No proof (small exponent)	2017-12-07	ATH	CF4ADAF139EBAF64	3	914	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	F6D69D3E8EB135A5	3	3156	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	F6D69D3E8EB135A5	3	2111	5	3

History

Date	User	Type	Result
2025-05-01	masser	NF-PP1	Start=73/11, B1=3100000000, B2=3096900000000
2024-02-03	Wentao Huang	C-PRP	M3571/64279/199866090993376388761/13455285154349817337805045818309111 : F6D69D3E8EB135A5
2022-06-17	mikr	NF-PM1	B1=100000000000, B2=262205522487458550
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000
2020-04-17	Oliver Kruse	C-PRP	M3571/64279/199866090993376388761/13455285154349817337805045818309111 : F6D69D3E8EB135A5
2017-12-07	ATH	C-PRP	M3571/64279/199866090993376388761/13455285154349817337805045818309111 : CF4ADAF139EBAF64
2017-10-02	kkmrkkblmbrbk	C-PRP	M3571/64279/199866090993376388761/13455285154349817337805045818309111 : CF4ADAF139EBAF64
2017-09-21	Oliver Kruse	C-PRP	M3571/known_factors : CF4ADAF139EBAF64
2005-01-10	-anonymous-	F-PM1	Factor: 199866090993376388761