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#Proof

2 posts2 participants0 posts today

Saw this statement on another site: "Any prime number higher than three, when squared and subtracted by one, will always turn out to be a multiple of 24."

I never heard of this one before. Is there a proof of this property? Definitely needs a bit more investigation.

Proof by starvation: This is a proof form in which you first prove that a counterexample to the theorem must have property X, then, using X, prove that it must also have property Y, then that it must also have property Z, ... until you have piled up so many requirements on a counterexample that everybody sees that it cannot exist.

I have done that a few times. It is a nice way to organize one's thoughts.