An odd prime p is the sum of two squares iff p = 4k + 1 for some integer k.
-
-
Replying to @AlgebraFact
I see left -> right easily, but not the reverse. Is it a constructive proof or is it an existence proof?
2 replies 0 retweets 2 likes
Replying to @MarchtoCharm @AlgebraFact
Oh, and about the nature of the proof: there are now many of these, and two (at least) offer explicit means of constructing the two squares that sum to p. One (excellent) place to find these two explicitly constructive proofs is Davenport's THE HIGHER ARITHMETIC.
9:40 AM - 27 Nov 2018
0 replies
0 retweets
2 likes
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.