6 571 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 1 known prime factor. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
71740065988607	14	46.0	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	2433 / 16550

Estimated T-Level: 45.7 ⓘ

TF below 2^147 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	21C4A7A0003026A5	1	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	21C4A7A0003026A5	1	5671	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	88EFE26BC386EE73	1	4192	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	88EFE26BC386EE73	1	6153	5	3

History

Date	User	Type	Result
2025-03-21	masser	NF-PP1	Start=182/23, B1=1000000000, B2=999000000000
2025-03-12	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-04	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6571/71740065988607 : 88EFE26BC386EE73
2023-08-09	-anonymous-	NF-PM1	B1=37000000000, B2=148599418701633900
2021-12-17	Oliver Kruse	NF-PM1	B1=1000000000, B2=1003954060639530
2020-04-17	Oliver Kruse	C-PRP	M6571/71740065988607 : 88EFE26BC386EE73
2017-10-12	kkmrkkblmbrbk	C-PRP	M6571/71740065988607 : 21C4A7A0003026A5
2017-09-21	Oliver Kruse	C-PRP	M6571/71740065988607 : 21C4A7A0003026A5
2017-09-21	Oliver Kruse	C-PRP	M6571/71740065988607 : 21C4A7A0003026A5
1999-04-23	-anonymous-	F	Factor: 71740065988607