293 339 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
586679	6	19.2	old
725720687	9	29.4	2008-07-21 09:16:04
11573217223483594201	20	63.3	2014-09-15 12:12:36
14490949992433267711	20	63.7	2014-09-15 12:12:35
3985172489458328750981209	25	81.7	2017-11-17 15:41:22

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	195 / 1566

Estimated T-Level: 30.6 ⓘ

TF below 2^97 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	4213B05C4209B861	4	0	1	3
Verified (Factored)	2017-10-12	Oliver Kruse	4213B05C4209B861	4	62543	1	3
Verified (Factored)	2017-11-06	kkmrkkblmbrbk	4213B05C4209B861	4	212189	1	3
Verified	2017-11-17	megavink	E0B755FB80F83AE8	5	189577	5	3
Verified	2017-11-17	kkmrkkblmbrbk	E0B755FB80F83AE8	5	167361	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	E0B755FB80F83AE8	1	9543	5	3
Verified	2024-12-31	kkmrkkblmbrbk	E0B755FB80F83AE8	5	116148	5	3

History

Date	User	Type	Result
2024-12-31	ohne-makler	CERT	PRP Certification Proof certified good
2024-12-31	kkmrkkblmbrbk	C-PRP	M293339/586679/725720687/11573217223483594201/14490949992433267711/3985172489458328750981209 : E0B755FB80F83AE8 PRP proof power = 5 PRP: Verified Proof certified good
2024-12-02	yuriy_5-1	NF-PM1	B1=26987188, B2=6584886237930
2022-06-21	some-students	NF-PM1	B1=1000000, B2=51000000
2022-05-12	Jorge Coveiro	C-PRP	M293339/586679 : E0B755FB80F83AE8 PRP proof power = 5 PRP: Verified (Factored) PRP proof never uploaded
2022-02-06	Lisander Viaene	NF-PM1	B1=50000
2017-11-17	kkmrkkblmbrbk	C-PRP	M293339/586679/725720687/14490949992433267711/11573217223483594201/3985172489458328750981209 : E0B755FB80F83AE8 PRP: Verified PRP without proof (small exponent)
2017-11-17	megavink	C-PRP	M293339/586679/725720687/14490949992433267711/11573217223483594201/3985172489458328750981209 : E0B755FB80F83AE8 PRP: Verified PRP without proof (small exponent)
2017-11-17	TJAOI	F-ECM	Factor: 3985172489458328750981209 / (ECM curve 7, B1=250000, B2=25000000)
2017-11-06	kkmrkkblmbrbk	C-PRP	M293339/586679/725720687/11573217223483594201/14490949992433267711 : 4213B05C4209B861 PRP: Verified PRP without proof (small exponent)
2017-10-12	Oliver Kruse	C-PRP	M293339/586679/725720687/14490949992433267711/11573217223483594201 : 4213B05C4209B861 PRP: Verified PRP without proof (small exponent)
2017-09-22	Oliver Kruse	C-PRP	M293339/known_factors : 4213B05C4209B861 PRP without proof (not generated)
2014-09-15	TJAOI	F-ECM	Factor: 11573217223483594201
2014-09-15	TJAOI	F-ECM	Factor: 14490949992433267711
2008-07-21	J Feitsma	F	Factor: 725720687