9 973 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
299191	6	18.2	old
7419913	7	22.8	old
10591327	8	23.3	old
19367567	8	24.2	old
96122026073180353	17	56.4	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	6178 / 16550

Estimated T-Level: 46.9 ⓘ

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	A8AD5778F98CC621	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	A8AD5778F98CC621	5	0	1	3
Verified	2017-12-07	ATH	A8AD5778F98CC621	5	7655	1	3
Verified	2020-04-17	Oliver Kruse	36EA61AE9EBCDE07	5	5012	5	3
Verified	2024-07-01	kkmrkkblmbrbk	36EA61AE9EBCDE07	5	7883	5	3

P-1 factors

Date	Factor	B1	B2
2022-08-05	43771930260819156576742572172271417799295391	10000000000	10000000000

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9973/10591327/19367567/299191/7419913/96122026073180353 : 36EA61AE9EBCDE07 PRP: Verified PRP without proof (small exponent)
2023-06-10	JacobZ	NF-PM1	B1=58000000000, B2=241250667952694400
2022-11-24	Kevin_9611	NF-PM1	B1=1000000000
2022-11-24	Kevin_9611	NF-PM1	B1=100000000, B2=10221144823890
2022-11-24	Kevin_9611	NF-PM1	B1=10000000, B2=1468968801300
2022-11-24	Kevin_9611	NF-PM1	B1=1000000, B2=518293926150
2022-08-05	Yizhe Huang	NF-PM1	B1=10000000000, B2=100262435413140
2022-08-05	Yizhe Huang	NF-PM1	B1=10000000000, B2=10436363077140
2022-08-05	Yizhe Huang	F-PM1	Factor: 43771930260819156576742572172271417799295391 / (P-1, B1=10000000000)
2022-08-05	Yizhe Huang	NF-PM1	B1=10000000000, B2=1453757224920
2022-08-05	Yizhe Huang	NF-PM1	B1=1000000000
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	M9973/299191/7419913/10591327/19367567/96122026073180353 : 36EA61AE9EBCDE07 PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9973/299191/7419913/10591327/19367567/96122026073180353 : A8AD5778F98CC621 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9973/299191/7419913/10591327/19367567/96122026073180353 : A8AD5778F98CC621 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9973/known_factors : A8AD5778F98CC621 PRP without proof (not generated)