6 871 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
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	1299 / 9201

Estimated T-Level: 40.7 ⓘ

TF below 2^130 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-20	kkmrkkblmbrbk	0FC9CC6E904B5EAB	3	0	1	3
Verified	2017-09-25	George Woltman	0FC9CC6E904B5EAB	3	4419	1	3
Verified	2017-10-02	kkmrkkblmbrbk	0FC9CC6E904B5EAB	3	0	1	3
Verified	2020-04-17	Oliver Kruse	C11A0EE0F46B1E76	3	1831	5	3
Verified	2024-02-03	Wentao Huang	C11A0EE0F46B1E76	3	4846	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M6871/288583/39027281/17773364564187152213461705160157043743823 : C11A0EE0F46B1E76 PRP: Verified PRP without proof (small exponent)
2023-08-17	-Anonymous-	NF-PM1	B1=35000000000, B2=149103333456127050
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M6871/288583/39027281/17773364564187152213461705160157043743823 : C11A0EE0F46B1E76 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6871/288583/39027281/17773364564187152213461705160157043743823 : 0FC9CC6E904B5EAB PRP: Verified PRP without proof (not generated)
2017-09-25	George Woltman	C-PRP	M6871/known_factors : 0FC9CC6E904B5EAB PRP: Verified PRP without proof (not generated)
2017-09-20	kkmrkkblmbrbk	C-PRP	M6871/288583/39027281/17773364564187152213461705160157043743823 : 0FC9CC6E904B5EAB PRP: Verified PRP without proof (not generated)
2017-01-02	kkmrkkblmbrbk	F-ECM	Factor: 17773364564187152213461705160157043743823 / (ECM curve 2405, B1=3000000, B2=300000000)