9 293 Exponent Status

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

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 3 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
4598548121	10	32.1	old
6700469174806817	16	52.6	old
746725237934525064252911	24	79.3	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	6786 / 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	24B41FE49B62F4BB	3	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	24B41FE49B62F4BB	3	0	1	3
Verified	2017-12-07	ATH	24B41FE49B62F4BB	3	4726	1	3
Verified	2020-04-17	Oliver Kruse	28316474BAC3BBE8	3	6633	5	3
Verified	2024-07-01	kkmrkkblmbrbk	28316474BAC3BBE8	3	1399	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9293/4598548121/6700469174806817/746725237934525064252911 : 28316474BAC3BBE8 PRP: Verified PRP without proof (small exponent)
2023-07-08	JacobZ	NF-PM1	B1=62000000000, B2=254047854677867250
2021-12-16	Lisander Viaene	NF-PM1	B1=100000000
2020-04-17	Oliver Kruse	C-PRP	M9293/4598548121/6700469174806817/746725237934525064252911 : 28316474BAC3BBE8 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9293/4598548121/6700469174806817/746725237934525064252911 : 24B41FE49B62F4BB PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9293/4598548121/6700469174806817/746725237934525064252911 : 24B41FE49B62F4BB PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9293/known_factors : 24B41FE49B62F4BB PRP without proof (not generated)