Problem 4 (5 points). Show that if p = x^2 + xy + 3y^2 (x, y ∈ℤ) is a prime, then p = 11 or p ≡

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Adi S · Answer

In the question we have given that if p be an odd prime, then we have to prove that 2 over p is

Adi S · Answer

So in the given question we have to find all the maximal and all prime ideal in the ring Z3 cros

Adi S · Answer

In this question we have given R be a commutative ring with a prime characteristic P and phi 1 f

Sri K · Answer

In this question we have been given that suppose p is a prime okay so p is given to be a prime n

Suman K · Answer

Given that P and Q are distance odd prime and A comma P equal to A comma Q equal to 1. We have t

Problem 4 (5 points). Show that if $p = x^2 + xy + 3y^2$ ($x, y \in \mathbb{Z}$) is a prime, then $p = 11$ or $p \equiv 1, 3, 4, 5, \text{or } 9 \pmod{11}$.