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Square of integers of form

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#integers
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Form of cube of an integer

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#integers
120
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Prove that $32\mid(a^2+3)(a^2+7)$

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#integers
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Special properties of the number $146$

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#elementary-number-theory #soft-question #recreational-mathematics #integers
69
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Are the expressions involving the nth root and the natural logarithm equivalent?

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#logarithms #roots #integers
72
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Solving an equation for positive integral values of variables.

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#algebra-precalculus #contest-math #diophantine-equations #integers #natural-numbers
45
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Prove that $(m,n) = (s,n) = 1$ if and only if $(ms,n)=1$

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#divisibility #integers #gcd-and-lcm #coprime
390
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If $a$ is prime to $b$ and $c$ is a divisor of $a$, prove that $c$ is prime to $b$

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#integers
88
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Demostration of Prime and Integers number Propositions

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#linear-algebra #integers #natural-numbers
563
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Find integers $u$ and $v$ satisfying $20u+63v=1$

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#elementary-number-theory #diophantine-equations #integers
38
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Find the general solution in integer

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#integers
95
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Find the numbers

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#integers
55
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Find highest power dividing an even integer into an odd integer

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#exponentiation #integers #natural-numbers
4k
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Prove that $n^4+4$ is composite

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#integers
63
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Values of $p$ such that $p+1$ is perfect square

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#integers

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