239 119 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
13868903	8	23.7	old
249670674723205994520209	24	77.7	2020-01-07 05:38:42
212381331667662033847003656413805352059577410799	48	157.2	2022-04-04 21:25:23

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	479 / 640

Estimated T-Level: 28.7 ⓘ

TF below 2^90 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-22	Oliver Kruse	F5C2D5B8DC48F88F	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	F5C2D5B8DC48F88F	1	32875	1	3
Verified (Factored)	2020-01-08	mnd9	82401751AF2C34A5	2	189946	5	3
Verified (Factored)	2020-01-12	ANONYMOUS	82401751AF2C34A5	2	22295	5	3
Verified	2022-04-05	Oliver Kruse	82401751AF2C34A5	3	233115	5	3

P-1 factors

Date	Factor	B1	B2
2022-04-04	212381331667662033847003656413805352059577410799	30000000	10120247026890

History

Date	User	Type	Result
2022-04-05	curtisc	CERT	PRP Certification Proof certified good
2022-04-05	Oliver Kruse	C-PRP	M239119/13868903/249670674723205994520209/212381331667662033847003656413805352059577410799 : 82401751AF2C34A5 PRP proof power = 5 PRP: Verified Proof certified good
2022-04-04	Oliver Kruse	F-PM1	Factor: 212381331667662033847003656413805352059577410799 / (P-1, B1=30000000, B2=10120247026890)
2021-07-17	Oliver Kruse	NF-PM1	B1=30000000, B2=3000000000, E=24
2020-01-12	ANONYMOUS	C-PRP	M239119/13868903/249670674723205994520209 : 82401751AF2C34A5 PRP: Verified (Factored) PRP without proof (small exponent)
2020-01-08	mnd9	C-PRP	M239119/13868903/249670674723205994520209 : 82401751AF2C34A5 PRP: Verified (Factored) PRP without proof (small exponent)
2020-01-07	Niels_Mache_Nextcloud	F-ECM	Factor: 249670674723205994520209 / (ECM curve 1, B1=250000, B2=25000000, Sigma=1666058487327233)
2017-10-12	kkmrkkblmbrbk	C-PRP	M239119/13868903 : F5C2D5B8DC48F88F PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M239119/13868903 : F5C2D5B8DC48F88F PRP: Verified (Factored) PRP without proof (not generated)
2017-09-22	Oliver Kruse	C-PRP	M239119/13868903 : F5C2D5B8DC48F88F PRP without proof (not generated)