9 311 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
1415273	7	20.4	old
110295406993018417	18	56.6	old

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	6800 / 16550

Estimated T-Level: 47.1 ⓘ

TF below 2^151 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	ECEF3B6D27466E32	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	ECEF3B6D27466E32	2	6342	1	3
Verified	2020-04-17	Oliver Kruse	5FB0702A587301ED	2	8041	5	3
Verified	2024-07-01	kkmrkkblmbrbk	5FB0702A587301ED	2	6406	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9311/110295406993018417/1415273 : 5FB0702A587301ED PRP: Verified PRP without proof (small exponent)
2023-07-07	JacobZ	NF-PM1	B1=62000000000, B2=254047854677867250
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2021-09-05	H Michaelson	NF-PP1	Start=2/7, B1=200000000, B2=20000000000
2020-04-17	Oliver Kruse	C-PRP	M9311/1415273/110295406993018417 : 5FB0702A587301ED PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M9311/1415273/110295406993018417 : ECEF3B6D27466E32 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9311/1415273/110295406993018417 : ECEF3B6D27466E32 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9311/1415273/110295406993018417 : ECEF3B6D27466E32 PRP without proof (not generated)