9 067 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
21497004703	11	34.3	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	6821 / 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	C89DEB9F65ACA8BF	1	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	C89DEB9F65ACA8BF	1	6696	1	3
Verified	2020-04-17	Oliver Kruse	94A1554D6313A23A	1	3250	5	3
Verified	2024-07-01	kkmrkkblmbrbk	94A1554D6313A23A	1	5975	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9067/21497004703 : 94A1554D6313A23A PRP: Verified PRP without proof (small exponent)
2023-07-17	JacobZ	NF-PM1	B1=64000000000, B2=263527252205367150
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9067/21497004703 : 94A1554D6313A23A PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M9067/21497004703 : C89DEB9F65ACA8BF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9067/21497004703 : C89DEB9F65ACA8BF PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9067/21497004703 : C89DEB9F65ACA8BF PRP without proof (not generated)