List questions from integers

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Form of cube of an integer

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

Published on 09 Jun 2018 - 4:24

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Special properties of the number $146$

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Are the expressions involving the nth root and the natural logarithm equivalent?

Published on 10 Jun 2018 - 3:27

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Solving an equation for positive integral values of variables.

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Prove that $(m,n) = (s,n) = 1$ if and only if $(ms,n)=1$

Published on 17 Mar 2026 - 18:50

387

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If $a$ is prime to $b$ and $c$ is a divisor of $a$, prove that $c$ is prime to $b$

Published on 11 Jun 2018 - 5:07

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Demostration of Prime and Integers number Propositions

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Find integers $u$ and $v$ satisfying $20u+63v=1$

Published on 12 Jun 2018 - 10:25

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Find the general solution in integer

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Find the numbers

Published on 13 Jun 2018 - 17:53

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Find highest power dividing an even integer into an odd integer

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Prove that $n^4+4$ is composite

Published on 13 Jun 2018 - 19:39

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Values of $p$ such that $p+1$ is perfect square

Published on 14 Jun 2018 - 4:20

List Question

Square of integers of form

Form of cube of an integer

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

Special properties of the number $146$

Are the expressions involving the nth root and the natural logarithm equivalent?

Solving an equation for positive integral values of variables.

Prove that $(m,n) = (s,n) = 1$ if and only if $(ms,n)=1$

If $a$ is prime to $b$ and $c$ is a divisor of $a$, prove that $c$ is prime to $b$

Demostration of Prime and Integers number Propositions

Find integers $u$ and $v$ satisfying $20u+63v=1$

Find the general solution in integer

Find the numbers

Find highest power dividing an even integer into an odd integer

Prove that $n^4+4$ is composite

Values of $p$ such that $p+1$ is perfect square

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