6 841 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
41047	5	15.3	old
64962137	8	26.0	old
77973719	8	26.2	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	2569 / 16550

Estimated T-Level: 45.8 ⓘ

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	6E64F5236D33F741	3	0	1	3
Verified	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	6E64F5236D33F741	3	6006	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	AC818678D094DD89	3	1811	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	AC818678D094DD89	3	6276	5	3

History

Date	User	Type	Result
2025-03-23	masser	NF-PP1	Start=82/23, B1=1000000000, B2=999000000000
2025-03-15	masser	NF-PP1	Start=6/5, B1=1000000000, B2=999000000000
2025-03-06	masser	NF-PP1	Start=2/7, B1=1000000000, B2=999000000000
2024-02-03	Wentao Huang	C-PRP	M6841/41047/64962137/77973719 : AC818678D094DD89
2022-11-30	Oliver Kruse	NF-PM1	B1=100000000000, B2=262147191341735700
2022-11-29	Oliver Kruse	NF-PM1	B1=100000000000
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M6841/41047/64962137/77973719 : AC818678D094DD89
2017-10-12	kkmrkkblmbrbk	C-PRP	M6841/41047/64962137/77973719 : 6E64F5236D33F741
2017-09-21	Oliver Kruse	C-PRP	M6841/41047/64962137/77973719 : 6E64F5236D33F741
2017-09-21	Oliver Kruse	C-PRP	M6841/41047/64962137/77973719 : 6E64F5236D33F741
2009-10-25	Carsten Kossendey	F	Factor: 207916987011733265641