893 339 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
1786679	7	20.8	old
66107087	8	26.0	2008-07-16 09:28:24
370206748707304567832129	24	78.3	2017-06-16 12:32:35
4813781144382679388580951529	28	92.0	2024-04-06 15:11:33

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)	2017-09-30	alpertron	71AD8846D7E86906	3	0	1	3
Verified (Factored)	2017-10-15	kkmrkkblmbrbk	71AD8846D7E86906	3	25652	1	3
Verified (Factored)	2020-04-22	Oliver Kruse	3B924640E10CB989	3	735172	5	3
Verified	2024-04-06	Anton Tsvetkov	3B924640E10CB989	4	615089	5	3

P-1 factors

Date	Factor	B1	B2
2024-04-06	4813781144382679388580951529	8000000	10086122970

History

Date	User	Type	Result
2024-04-06	tottenhoff	CERT	PRP Certification Proof certified good
2024-04-06	Anton Tsvetkov	C-PRP	M893339/1786679/66107087/370206748707304567832129/4813781144382679388580951529 : 3B924640E10CB989 PRP proof power = 6 PRP: Verified Proof certified good
2024-04-06	Anton Tsvetkov	F-PM1	Factor: 4813781144382679388580951529 / (P-1, B1=8000000, B2=10086122970)
2020-04-22	Oliver Kruse	C-PRP	M893339/1786679/66107087/370206748707304567832129 : 3B924640E10CB989 PRP: Verified (Factored) PRP without proof (small exponent)
2017-10-15	kkmrkkblmbrbk	C-PRP	M893339/1786679/66107087/370206748707304567832129 : 71AD8846D7E86906 PRP: Verified (Factored) PRP without proof (small exponent)
2017-09-30	alpertron	C-PRP	M893339/1786679/370206748707304567832129/66107087 : 71AD8846D7E86906 PRP: Verified (Factored) PRP without proof (not generated)
2017-09-28	Oliver Kruse	C-PRP	M893339/1786679/66107087/370206748707304567832129 : 71AD8846D7E86906 PRP without proof (not generated)
2017-06-16	TJAOI	F-ECM	Factor: 370206748707304567832129 / (ECM curve 42, B1=50000, B2=5000000)
2016-03-17	alpertron	NF-PM1	B1=300000, B2=10000000, E=12
2008-07-16	J Feitsma	F	Factor: 66107087