457 789 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
3072836331839	13	41.5	old
1193136663599251577	19	60.0	2015-04-17 10:33:24
6849713945046650946278287	25	82.5	2020-05-18 10:33:48

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	200 / 640

Estimated T-Level: 26.6 ⓘ

TF below 2^83 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-25	Oliver Kruse	D6A6FC35B0B37479	2	0	1	3
Verified (Factored)	2017-09-27	Oliver Kruse	D6A6FC35B0B37479	2	0	1	3
Verified (Factored)	2017-11-07	kkmrkkblmbrbk	D6A6FC35B0B37479	2	350064	1	3
Verified (Factored)	2020-04-18	Oliver Kruse	12ACE766BE18021A	2	141899	5	3
Verified	2020-05-18	M Miller	12ACE766BE18021A	3	248105	5	3

History

Date	User	Type	Result
2020-05-18	M Miller	C-PRP	M457789/3072836331839/1193136663599251577/6849713945046650946278287 : 12ACE766BE18021A PRP: Verified PRP without proof (small exponent)
2020-05-18	TJAOI	F-ECM	Factor: 6849713945046650946278287 / (ECM curve 89, B1=250000, B2=25000000)
2020-04-18	Oliver Kruse	C-PRP	M457789/3072836331839/1193136663599251577 : 12ACE766BE18021A PRP: Verified PRP without proof (small exponent)
2017-11-07	kkmrkkblmbrbk	C-PRP	M457789/3072836331839/1193136663599251577 : D6A6FC35B0B37479 PRP: Verified PRP without proof (small exponent)
2017-09-27	Oliver Kruse	C-PRP	M457789/3072836331839/1193136663599251577 : D6A6FC35B0B37479 PRP: Verified PRP without proof (not generated)
2017-09-25	Oliver Kruse	C-PRP	M457789/3072836331839/1193136663599251577 : D6A6FC35B0B37479 PRP: Verified PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=3000000, B2=100000000, E=12
2015-04-17	TJAOI	F-ECM	Factor: 1193136663599251577 / (ECM curve 4, B1=50000, B2=5000000)