number with Legendre symbol.

Hello sir~

Find all primes with (10 / p) = -1. (Legendre symbol)

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Is this possible problem ?

Of course, I can examine for each p.

p = 2 ==> This is not condition of Legendre symbol with odd prime.

p = 3 ==> (10 / 3) = (1 / 3) = 1.

p = 5 ==> This is not condition of Legendre symbol with (a,p)=1.

p = 7 ==> (10 / 7) = (3 / 7) = - (7 / 3) = - (1 / 3) = -1.

p = 11 ==> (10 / 11) = (-1 / 11) = (-1)^{(11-1)/2} = -1.

......

Can you generalize about this to find all primes ?


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