6 871 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
288583	6	18.1	old
39027281	8	25.2	old
17773364564187152213461705160157043743823	41	133.7	2017-01-02 14:54:28

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	2446 / 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)	2017-09-20	kkmrkkblmbrbk	0FC9CC6E904B5EAB	3	0	1	3
Verified	No proof (small exponent)	2017-09-25	George Woltman	0FC9CC6E904B5EAB	3	4419	1	3
Verified	No proof (small exponent)	2017-10-02	kkmrkkblmbrbk	0FC9CC6E904B5EAB	3	0	1	3
Verified	No proof (small exponent)	2020-04-17	Oliver Kruse	C11A0EE0F46B1E76	3	1831	5	3
Verified	No proof (small exponent)	2024-02-03	Wentao Huang	C11A0EE0F46B1E76	3	4846	5	3

History

Date	User	Type	Result
2025-03-23	masser	NF-PP1	Start=137/67, 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	M6871/288583/39027281/17773364564187152213461705160157043743823 : C11A0EE0F46B1E76
2023-08-17	-anonymous-	NF-PM1	B1=35000000000, B2=149103333456127050
2021-12-16	ANONYMOUS	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M6871/288583/39027281/17773364564187152213461705160157043743823 : C11A0EE0F46B1E76
2017-10-02	kkmrkkblmbrbk	C-PRP	M6871/288583/39027281/17773364564187152213461705160157043743823 : 0FC9CC6E904B5EAB
2017-09-25	George Woltman	C-PRP	M6871/known_factors : 0FC9CC6E904B5EAB
2017-09-20	kkmrkkblmbrbk	C-PRP	M6871/288583/39027281/17773364564187152213461705160157043743823 : 0FC9CC6E904B5EAB
2017-01-02	kkmrkkblmbrbk	F-ECM	Factor: 17773364564187152213461705160157043743823
2009-10-25	Carsten Kossendey	F	Factor: 11262609832823