9 613 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 7 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
57679	5	15.8	old
146559799	9	27.1	old
2253979337	10	31.1	old
521923377049	12	38.9	old
15635473133089	14	43.8	old
318415684048121377	18	58.1	old
1573278017640689661301568154460231	34	110.3	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	6736 / 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	A880E20C8B86F0BD	7	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	A880E20C8B86F0BD	7	0	1	3
Verified	2017-12-07	ATH	A880E20C8B86F0BD	7	8181	1	3
Verified	2020-04-17	Oliver Kruse	F6C62A4342ABFE29	7	8042	5	3
Verified	2024-07-01	kkmrkkblmbrbk	F6C62A4342ABFE29	7	7629	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9613/146559799/15635473133089/1573278017640689661301568154460231/2253979337/318415684048121377/521923377049/57679 : F6C62A4342ABFE29 PRP: Verified PRP without proof (small exponent)
2023-06-25	JacobZ	NF-PM1	B1=60000000000, B2=244568457101868900
2021-08-27	Seth_Tr	NF-PM1	B1=400000000
2021-08-27	Seth_Tr	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9613/57679/146559799/2253979337/521923377049/15635473133089/318415684048121377/1573278017640689661301568154460231 : F6C62A4342ABFE29 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9613/57679/146559799/2253979337/521923377049/15635473133089/318415684048121377/1573278017640689661301568154460231 : A880E20C8B86F0BD PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9613/57679/146559799/2253979337/521923377049/15635473133089/318415684048121377/1573278017640689661301568154460231 : A880E20C8B86F0BD PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9613/known_factors : A880E20C8B86F0BD PRP without proof (not generated)