721 111 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
670633231	9	29.3	old
263310797207	12	37.9	2008-07-16 09:25:07
3059305992147642685477621832879	31	101.3	2023-01-02 05:16:53

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	100 / 640

Estimated T-Level: 25.8 ⓘ

TF below 2^81 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	E3667A40E1A020B9	2	0	1	3
Verified (Factored)	2017-09-28	Oliver Kruse	E3667A40E1A020B9	2	0	1	3
Verified (Factored)	2017-11-09	kkmrkkblmbrbk	E3667A40E1A020B9	2	554368	1	3
Verified (Factored)	2020-04-20	Oliver Kruse	5A9E7A58B77DC9D7	2	540037	5	3
Verified	2023-01-02	LordJulius	5A9E7A58B77DC9D7	3	530631	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-02	3059305992147642685477621832879	1650000	3618231540

History

Date	User	Type	Result
2023-01-02	curtisc	CERT	PRP Certification Proof certified good
2023-01-02	LordJulius	C-PRP	M721111/670633231/263310797207/3059305992147642685477621832879 : 5A9E7A58B77DC9D7 PRP proof power = 6 PRP: Verified Proof certified good
2023-01-02	USAFSS	F-PM1	Factor: 3059305992147642685477621832879 / (P-1, B1=1650000, B2=3618231540)
2020-04-20	Oliver Kruse	C-PRP	M721111/670633231/263310797207 : 5A9E7A58B77DC9D7 PRP: Verified (Factored) PRP without proof (small exponent)
2017-11-09	kkmrkkblmbrbk	C-PRP	M721111/670633231/263310797207 : E3667A40E1A020B9 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-28	Oliver Kruse	C-PRP	M721111/670633231/263310797207 : E3667A40E1A020B9 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-27	Oliver Kruse	C-PRP	M721111/670633231/263310797207 : E3667A40E1A020B9 PRP: Verified (Factored) PRP without proof (not generated)
2016-03-17	alpertron	NF-PM1	B1=500000, B2=15000000, E=12
2008-07-16	J Feitsma	F	Factor: 263310797207