9 491 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 1 known prime factor. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
531497	6	19.0	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	6574 / 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	2017-09-21	Oliver Kruse	FE408470099B4D87	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	FE408470099B4D87	1	7032	1	3
Verified	2020-04-17	Oliver Kruse	A5A16013AF9068BD	1	5258	5	3
Verified	2024-07-01	kkmrkkblmbrbk	A5A16013AF9068BD	1	1325	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9491/531497 : A5A16013AF9068BD PRP: Verified PRP without proof (small exponent)
2023-06-28	JacobZ	NF-PM1	B1=61000000000, B2=254995794420917550
2022-11-24	Kevin_9611	NF-PM1	B1=1000000000, B2=100149831201420
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9491/531497 : A5A16013AF9068BD PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M9491/531497 : FE408470099B4D87 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9491/531497 : FE408470099B4D87 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9491/531497 : FE408470099B4D87 PRP without proof (not generated)