586 679 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
323838500301513193	18	58.2	2007-10-06 09:31:42
1195608976190136624467479	25	80.0	2021-11-04 11:44:19
53184822095727128920406399	26	85.5	2018-12-07 13:05:15

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	210 / 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)	2017-09-27	Oliver Kruse	DBF95908B2501B39	1	0	1	3
Verified (Factored)	2017-09-28	Oliver Kruse	DBF95908B2501B39	1	0	1	3
Verified (Factored)	2017-11-07	kkmrkkblmbrbk	DBF95908B2501B39	1	508365	1	3
Verified (Factored)	2018-12-08	Chang Chia-Tche	242B86F2CEAAC0BE	2	384787	5	3
Verified (Factored)	2018-12-09	oodaira	242B86F2CEAAC0BE	2	100412	5	3
Verified	2021-11-04	SRJ2877	242B86F2CEAAC0BE	3	366427	5	3

History

Date	User	Type	Result
2022-12-28	USAFSS	NF-PM1	B1=1750000, B2=5399784390
2022-03-07	LordJulius	NF	no factor from 2^54 to 2^55
2021-11-04	curtisc	CERT	PRP Certification Proof certified good
2021-11-04	SRJ2877	C-PRP	M586679/323838500301513193/1195608976190136624467479/53184822095727128920406399 : 242B86F2CEAAC0BE PRP proof power = 6 PRP: Verified Proof certified good
2021-11-04	TJAOI	F-ECM	Factor: 1195608976190136624467479 / (ECM curve 14, B1=250000, B2=35000000)
2018-12-09	oodaira	C-PRP	M586679/323838500301513193/53184822095727128920406399 : 242B86F2CEAAC0BE PRP: Verified (Factored) PRP without proof (small exponent)
2018-12-08	Chang Chia-Tche	C-PRP	M586679/323838500301513193/53184822095727128920406399 : 242B86F2CEAAC0BE PRP: Verified (Factored) PRP without proof (small exponent)
2018-12-07	TJAOI	F-ECM	Factor: 53184822095727128920406399 / (ECM curve 2, B1=250000, B2=25000000)
2017-11-07	kkmrkkblmbrbk	C-PRP	M586679/323838500301513193 : DBF95908B2501B39 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M586679/323838500301513193 : DBF95908B2501B39 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M586679/323838500301513193 : DBF95908B2501B39 PRP: Verified (Factored) PRP without proof (not generated)
2007-10-06	Chad Davis	F-ECM	Factor: 323838500301513193