6 899 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
13799	5	13.8	old
23429893156919	14	44.4	old
5555255256861209078227365649	28	92.2	old
4184592907970287737294525619724716457	37	121.7	old
98052731452849888003726608669099118887936220976177	50	166.1	2021-03-29 14:16:26

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	1308 / 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 (Factored)	2017-09-21	Oliver Kruse	573DBBB403B006F9	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	573DBBB403B006F9	4	0	1	3
Verified (Factored)	2017-12-07	ATH	573DBBB403B006F9	4	5289	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	E567ED715768FE98	4	3673	5	3
Verified	2021-03-30	Oliver Kruse	E567ED715768FE98	5	6328	5	3
Verified	2021-03-30	mnd9	E567ED715768FE98	5	4141	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	E567ED715768FE98	1	388	5	3

History

Date	User	Type	Result
2023-08-18	-Anonymous-	NF-PM1	B1=35000000000, B2=149103333456127050
2022-05-12	Jorge Coveiro	C-PRP	M6899/13799 : E567ED715768FE98 PRP: Verified (Factored) PRP without proof (small exponent)
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-03-30	mnd9	C-PRP	M6899/13799/23429893156919/5555255256861209078227365649/4184592907970287737294525619724716457/98052731452849888003726608669099118887936220976177 : E567ED715768FE98 PRP: Verified (Factored) PRP without proof (small exponent)
2021-03-30	Oliver Kruse	C-PRP	M6899/13799/23429893156919/5555255256861209078227365649/4184592907970287737294525619724716457/98052731452849888003726608669099118887936220976177 : E567ED715768FE98 PRP: Verified (Factored) PRP without proof (small exponent)
2021-03-29	Ryan Propper	F-ECM	Factor: 98052731452849888003726608669099118887936220976177 / (ECM curve 1, B1=43000000, B2=198654756318, Sigma=11516937117192394435)
2020-04-17	Oliver Kruse	C-PRP	M6899/13799/23429893156919/5555255256861209078227365649/4184592907970287737294525619724716457 : E567ED715768FE98 PRP: Verified (Factored) PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M6899/13799/23429893156919/5555255256861209078227365649/4184592907970287737294525619724716457 : 573DBBB403B006F9 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M6899/13799/23429893156919/5555255256861209078227365649/4184592907970287737294525619724716457 : 573DBBB403B006F9 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M6899/known_factors : 573DBBB403B006F9 PRP without proof (not generated)