9 283 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
5941121	7	22.5	old
29352847	8	24.8	old
34031479	8	25.0	old
41532143	8	25.3	old
507344673007371937	18	58.8	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	6897 / 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	8A292C051244C210	5	0	1	3
Verified	2017-10-02	kkmrkkblmbrbk	8A292C051244C210	5	0	1	3
Verified	2017-12-07	ATH	8A292C051244C210	5	5912	1	3
Verified	2020-04-17	Oliver Kruse	ED680A279BEE3C1F	5	8647	5	3
Verified	2024-07-01	kkmrkkblmbrbk	ED680A279BEE3C1F	5	7723	5	3

History

Date	User	Type	Result
2024-07-01	kkmrkkblmbrbk	C-PRP	M9283/29352847/34031479/41532143/507344673007371937/5941121 : ED680A279BEE3C1F PRP: Verified PRP without proof (small exponent)
2023-07-08	JacobZ	NF-PM1	B1=62000000000, B2=254047854677867250
2021-09-05	H Michaelson	NF-PM1	B1=200000000, B2=20000000000
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	M9283/5941121/29352847/34031479/41532143/507344673007371937 : ED680A279BEE3C1F PRP: Verified PRP without proof (small exponent)
2017-12-07	ATH	C-PRP	M9283/5941121/29352847/34031479/41532143/507344673007371937 : 8A292C051244C210 PRP: Verified PRP without proof (small exponent)
2017-10-02	kkmrkkblmbrbk	C-PRP	M9283/5941121/29352847/34031479/41532143/507344673007371937 : 8A292C051244C210 PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M9283/known_factors : 8A292C051244C210 PRP without proof (not generated)