# Tagged Questions

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### Where Are the Primes In Relation To the Perfect Squares? How Are the Perfect Squares Arranged Along the Natural Number Line? [on hold]

The question is concerning the location of any given prime which satisfies Legendre's conjecture, or simply, any given prime. Do they not all? All primes > 3 are in the pair of arithmetic progressions ...
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### Can $3x^3+3x+7$ be cube number? [duplicate]

Can $3x^3+3x+7$ be cube number when $x \in \mathbb{N}$? My conjecture is that the answer is no, but I don't know how to prove it. Can anybody help me to solve this problem?
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### Proof of special case of Fermat's Last Theorem

Please help evaluate mathematical clarity of a proof of this simple proposition: If $n \geq 3$ is an odd integer and $x, y, z > 0$ are integers such that $x^{n} + y^{n} = z^{n},$ then $z$ cannot be ...
Im trying to prove that if there are to numbers $n,m$ (natural numbers), and their smallest common multipe is $k$, so that $k = n·i$ and $k = m·j$ for some $i,j$ natural numbers, any common multiple ...