9 323 Exponent Status

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

PrimeNet Exponent Status

M_n

Details

Composite, with 3 known prime factors. Cofactor is composite.

Trial Factored to 2⁶⁸

TF target 2⁴⁴

Factored

Factor	Digits	Bits	Date
895009	6	19.8	old
82789074363958062281	20	66.2	old
1333520398848362959146986064051807672224671	43	139.9	2018-06-02 17:24:40

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	6788 / 16550

Estimated T-Level: 47.1 ⓘ

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

Status	Proof	Date	User	Residue	Number of known factors	Shift	Type	Base
Factored	No proof (small exponent)	2017-09-21	Oliver Kruse	A2E6DFAF84E5F7C9	2	0	1	3
Factored	No proof (small exponent)	2017-10-12	kkmrkkblmbrbk	A2E6DFAF84E5F7C9	2	4172	1	3
Verified	No proof (small exponent)	2018-06-03	ANONYMOUS	D3F552E1B5FB52DA	3	7595	5	3
Verified	No proof (small exponent)	2018-06-04	Oliver Kruse	D3F552E1B5FB52DA	3	4750	5	3

History

Date	User	Type	Result
2023-07-06	JacobZ	NF-PM1	B1=62000000000, B2=254047854677867250
2022-01-03	ANONYMOUS	NF-PM1	B1=100000000, B2=125405610
2022-01-03	ANONYMOUS	NF-PM1	B1=10000000, B2=2551968529110
2021-09-05	H Michaelson	NF-PP1	Start=2/7, B1=200000000, B2=20000000000
2018-06-04	Oliver Kruse	C-PRP	M9323/895009/82789074363958062281/1333520398848362959146986064051807672224671 : D3F552E1B5FB52DA
2018-06-03	ANONYMOUS	C-PRP	M9323/895009/82789074363958062281/1333520398848362959146986064051807672224671 : D3F552E1B5FB52DA
2018-06-02	Hexaflexagon	F-ECM	Factor: 1333520398848362959146986064051807672224671
2017-10-12	kkmrkkblmbrbk	C-PRP	M9323/895009/82789074363958062281 : A2E6DFAF84E5F7C9
2017-09-21	Oliver Kruse	C-PRP	M9323/895009/82789074363958062281 : A2E6DFAF84E5F7C9
2017-09-21	Oliver Kruse	C-PRP	M9323/895009/82789074363958062281 : A2E6DFAF84E5F7C9