8 467 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
203209	6	17.6	old
6655063	7	22.7	old
5910592559	10	32.5	old
17739993120770282703837420208676185220663	41	133.7	2018-02-15 23:40:09

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	9517 / 16550

Estimated T-Level: 47.9 ⓘ

TF below 2^154 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	594D5CAAF54F5671	3	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	594D5CAAF54F5671	3	3062	1	3
Verified	2018-02-17	AdolfNor	DFEEE59319691EAA	4	5060	5	3
Verified	2018-02-18	Oliver Kruse	DFEEE59319691EAA	4	6431	5	3

History

Date	User	Type	Result
2023-08-20	JacobZ	NF-PM1	B1=69000000000, B2=265422648792401100
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2018-02-18	Oliver Kruse	C-PRP	M8467/203209/6655063/5910592559/17739993120770282703837420208676185220663 : DFEEE59319691EAA PRP: Verified PRP without proof (small exponent)
2018-02-17	AdolfNor	C-PRP	M8467/203209/6655063/5910592559/17739993120770282703837420208676185220663 : DFEEE59319691EAA PRP: Verified PRP without proof (small exponent)
2018-02-15	James Hintz	F-ECM	Factor: 17739993120770282703837420208676185220663 / (ECM curve 2246, B1=3000000, B2=300000000)
2017-10-12	kkmrkkblmbrbk	C-PRP	M8467/203209/6655063/5910592559 : 594D5CAAF54F5671 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8467/203209/6655063/5910592559 : 594D5CAAF54F5671 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M8467/203209/6655063/5910592559 : 594D5CAAF54F5671 PRP without proof (not generated)