General statistics
List of Youtube channels
Youtube commenter search
Distinguished comments
About
EebstertheGreat
Numberphile2
comments
Comments by "EebstertheGreat" (@EebstertheGreat) on "Become a MILLIONAIRE by winning The Parker Prize (extra footage)" video.
Sadly, the Fields Medal does not include cash prize of order 10^6 currency units, unless your currency units are on the order of 100 times less valuable than the U.S. dollar.
1
@Czeckie No, just N. In fact, it could be strengthened from n > N to n ≥ N. If none of the entries are reduced, their magic sums will still all be the same. And then those magic sums will be reduced mod N+1, and they will again still be the same, because if a = b, then of course a = b (mod N+1). And it even works mod N, because any multiple of N added in will reduce to 0 in the sum anyway. The reason we can't use a modulus < N is because then we might have redundant entries. And for a square of squares, we also need N prime, because otherwise two different numbers < N could have the same square.
1