Y by Adventure10, UpvoteFarm, Mango247
Let
be an odd prime and let
denote (the field of) integers modulo
. How many elements are in the set ![\[\{x^{2}: x \in Z_{p}\}\cap \{y^{2}+1: y \in Z_{p}\}?\]](//latex.artofproblemsolving.com/f/5/3/f53df6db62409d6a99bd73e3ed7040432c957141.png)



![\[\{x^{2}: x \in Z_{p}\}\cap \{y^{2}+1: y \in Z_{p}\}?\]](http://latex.artofproblemsolving.com/f/5/3/f53df6db62409d6a99bd73e3ed7040432c957141.png)
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