9 547 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 5 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
631801367	9	29.2	old
10411952658137143079	20	63.2	old
563978286583081860003601	24	78.9	old
8870060337839649268018893272220199	34	112.8	old
22585794126278416630400708899565911154921399	44	144.0	2024-06-22 04:31:37

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	6705 / 16550

Estimated T-Level: 47.0 ⓘ

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 (Factored)	2017-09-21	Oliver Kruse	AC8347A313641D14	4	0	1	3
Verified (Factored)	2017-10-02	kkmrkkblmbrbk	AC8347A313641D14	4	0	1	3
Verified (Factored)	2017-12-07	ATH	AC8347A313641D14	4	829	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	3356B088D186EAF6	4	3787	5	3
Verified	2024-06-22	nordi	3356B088D186EAF6	5	2209	5	3

History

Date	User	Type	Result
2024-06-22	nordi	C-PRP	M9547/631801367/10411952658137143079/563978286583081860003601/8870060337839649268018893272220199/22585794126278416630400708899565911154921399 : 3356B088D186EAF6 PRP: Verified PRP without proof (small exponent)
2024-06-22	nordi	F-ECM	Factor: 22585794126278416630400708899565911154921399 / (ECM curve 198, B1=11000000, B2=62026814850, Edwards Sigma=3666184017108647)
2023-06-26	JacobZ	NF-PM1	B1=60000000000, B2=244568457101868900
2022-02-03	Lisander Viaene	NF-PM1	B1=100000000, B2=30555685210050
2022-02-03	-Anonymous-	NF-PM1	B1=50000, B2=15277839797220
2020-04-17	Oliver Kruse	C-PRP	M9547/631801367/10411952658137143079/563978286583081860003601/8870060337839649268018893272220199 : 3356B088D186EAF6 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9547/631801367/10411952658137143079/563978286583081860003601/8870060337839649268018893272220199 : AC8347A313641D14 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9547/631801367/10411952658137143079/563978286583081860003601/8870060337839649268018893272220199 : AC8347A313641D14 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9547/known_factors : AC8347A313641D14 PRP without proof (not generated)