9 539 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 4 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
19079	5	14.2	old
243552125824687	15	47.8	old
539739762366037934978545147421430377	36	118.7	2018-06-09 16:37:06
223212586274489597961708131344467984319	39	127.4	2018-06-09 21:49:19

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	3571 / 9201

Estimated T-Level: 41.9 ⓘ

TF below 2^134 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	31A831076CF96696	2	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	31A831076CF96696	2	1948	1	3
Verified	2018-06-09	Daniil Tsarkov	CD2CF4C2E3E2A366	4	8144	5	3
Verified (Factored)	2018-06-10	Luigi Morelli	CD2CF4C2E3E2A366	3	3128	5	3
Verified	2018-06-11	Oliver Kruse	CD2CF4C2E3E2A366	4	2446	5	3
Verified	2019-05-30	Daniil Tsarkov	CD2CF4C2E3E2A366	4	5406	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	CD2CF4C2E3E2A366	1	2085	5	3

History

Date	User	Type	Result
2023-06-26	JacobZ	NF-PM1	B1=61000000000, B2=254995794420917550
2022-05-12	Jorge Coveiro	C-PRP	M9539/19079 : CD2CF4C2E3E2A366 PRP: Verified (Factored) PRP without proof (small exponent)
2022-01-03	Lisander Viaene	NF-PM1	B1=100000000
2019-05-30	Daniil Tsarkov	C-PRP	M9539/19079/243552125824687/539739762366037934978545147421430377/223212586274489597961708131344467984319 : CD2CF4C2E3E2A366 PRP: Verified (Factored) PRP without proof (small exponent)
2018-06-11	Oliver Kruse	C-PRP	M9539/19079/243552125824687/539739762366037934978545147421430377/223212586274489597961708131344467984319 : CD2CF4C2E3E2A366 PRP: Verified (Factored) PRP without proof (small exponent)
2018-06-10	Luigi Morelli	C-PRP	M9539/19079/243552125824687/539739762366037934978545147421430377 : CD2CF4C2E3E2A366 PRP: Verified (Factored) PRP without proof (small exponent)
2018-06-09	Daniil Tsarkov	C-PRP	M9539/19079/243552125824687/539739762366037934978545147421430377/223212586274489597961708131344467984319 : CD2CF4C2E3E2A366 PRP: Verified (Factored) PRP without proof (small exponent)
2018-06-09	Hexaflexagon	F-ECM	Factor: 223212586274489597961708131344467984319 / (ECM curve 244, B1=3000000, B2=300000000)
2018-06-09	Hexaflexagon	F-ECM	Factor: 539739762366037934978545147421430377 / (ECM curve 195, B1=3000000, B2=300000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M9539/19079/243552125824687 : 31A831076CF96696 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9539/19079/243552125824687 : 31A831076CF96696 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9539/19079/243552125824687 : 31A831076CF96696 PRP without proof (not generated)