# Euler's Criterion to Determine Quadratic Residue Modulo p

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Use Euler's Criterion to determine whether a is a quadratic residue modulo p in each of the followingÂ instances:

(a) Â a = 2, Â p = 5; Â Â Â (b) Â Â a = 4, Â p = 7; Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â

(c) Â a = 3, Â p = 11; Â Â Â (d) Â Â a = 6, Â p = 13. Â Â Â Â Â Â Â Â Â Â Â Â

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#### Solution Summary

This solution explains the condition that a number a to be a quadratic residue modulo p. Â Â Â Â Â Â

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