Prove that for any prime p > 5 there exist integers 1 :S a, b :S p - 1 for which (a/p) =
Chapter 9, Problem 15(choose chapter or problem)
Prove that for any prime p > 5 there exist integers 1 :S a, b :S p - 1 for which (a/p) = (a+ 1 /p) = 1 and (b/p) = (b + 1 /p) = -1 that is, there are consecutive quadratic residues of p and consecutive nonresidues.
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