9 109 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
4955297	7	22.2	old
49625833	8	25.6	old
104035182479	12	36.6	old
2717584477978382039	19	61.2	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	BF75647313B6524B	4	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	BF75647313B6524B	4	0	1	3
Verified	2017-12-07	ATH	BF75647313B6524B	4	4903	1	3
Verified	2020-04-17	Oliver Kruse	71C2175D36BB41DF	4	1744	5	3
Verified	2024-07-01	kkmrkkblmbrbk	71C2175D36BB41DF	4	6764	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9109/104035182479/2717584477978382039/4955297/49625833 : 71C2175D36BB41DF PRP: Verified PRP without proof (small exponent)
2023-07-16	JacobZ	NF-PM1	B1=64000000000, B2=263527252205367150
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9109/4955297/49625833/104035182479/2717584477978382039 : 71C2175D36BB41DF PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9109/4955297/49625833/104035182479/2717584477978382039 : BF75647313B6524B PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9109/4955297/49625833/104035182479/2717584477978382039 : BF75647313B6524B PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9109/known_factors : BF75647313B6524B PRP without proof (not generated)