Genady Posted November 4, 2024 Author Posted November 4, 2024 On 11/4/2024 at 2:34 PM, studiot said: factorise 2484 + 1 Expand I got one factor. 17.
studiot Posted November 4, 2024 Posted November 4, 2024 On 11/4/2024 at 7:50 PM, Genady said: I got one factor. 17. Expand yes starting with the shortest one is good.
Genady Posted November 4, 2024 Author Posted November 4, 2024 On 11/4/2024 at 9:20 PM, studiot said: the shortest [factor] Expand What do you mean? Number of digits?
studiot Posted November 4, 2024 Posted November 4, 2024 On 11/4/2024 at 11:01 PM, Genady said: What do you mean? Number of digits? Expand Yes 17 is the only 2 digit factor (in decimal) The next one is 3 digits and the one after that 6 digits.
Genady Posted November 5, 2024 Author Posted November 5, 2024 On 11/4/2024 at 11:14 PM, studiot said: Yes 17 is the only 2 digit factor (in decimal) The next one is 3 digits and the one after that 6 digits. Expand Thank you. I don't have any progress to report on my part, but would ask you to clarify your answers somewhat (to get a hint, maybe): Do you mean 3-digits and 6-digits prime numbers? There are more than these three factors, aren't there? (Only these three fall short of 2484.) Or, do you mean these three just repeat many times in the factorization?
studiot Posted November 5, 2024 Posted November 5, 2024 On 11/5/2024 at 10:55 AM, Genady said: Thank you. I don't have any progress to report on my part, but would ask you to clarify your answers somewhat (to get a hint, maybe): Do you mean 3-digits and 6-digits prime numbers? There are more than these three factors, aren't there? (Only these three fall short of 2484.) Or, do you mean these three just repeat many times in the factorization? Expand It's not a trick question, its designed to test the limits of computers. Wolfram Alpha gave up when I asked it. There are 7 factors, all different. One of them is very large itself. Of course they are all prime. Isn't that a requirement for factors ? The second one is 353
Genady Posted November 5, 2024 Author Posted November 5, 2024 On 11/5/2024 at 12:13 PM, studiot said: its designed to test the limits of computers Expand Oh. I found the first one with pen and paper.
studiot Posted November 5, 2024 Posted November 5, 2024 On 11/5/2024 at 12:19 PM, Genady said: Oh. I found the first one with pen and paper. Expand It's the sort of thing that is being studied in what's called (Higher) Arithmetic these days. The Higher Arithmetic Davenport Cambridge university press 1
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