I am working on a project to code a conjecture in Maple and I am stuck. It is as follows:
"Someone had a conjecture that any odd number greater than one can be written as the sum of a prime number and twice a perfect square. (ie 3=3+2*02, 15 = 7+2*22) I would like to know if this holds for all the numbers from 3 to 9,000 and if not, which odd numbers fail this criteria."
I have very little coding experience so I am looking to see if anyone has an idea where I can go with this. I tried the following:
Once I get this far, however, I don't know where to go. I would like the left side of the equation to run from 0 through 4499 (giving me a value of over 9000) while the right side does the same thing. If there are any situations where the left side and right side do not equal each other, I want it to tell me.
My apologies if this is too wordy or confusing. Thank you.