List questions from divisibility

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Relatively prime and divisibility proof

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Prime that divides $a^2-1$ but not $a-1$

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Necessary condition of Diophantine equation to have integer solution?

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Prove or show a counter example for: $\forall a, b, c \in \mathbb Z$, if $ab\mid c$ then $a\mid c$ and $b\mid c$

Published on 07 Jun 2018 - 22:52

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Proof by induction $3^{2n}-2^n$ is multiply of 7

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Is there a general formula for finding the smallest non-trivial positive divisor of a natural number?

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$1^n-3^n-6^n+8^n$ is divisible by $10$

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$a,b,c,d$ are positive integers such that $ad=bc$. Prove that $n=a+b+c+d$ cannot be prime

Published on 09 Jun 2018 - 13:49

41

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

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Putnam Question (Pigeonhole Principle on divisibility of sequences)

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116

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How to find an unknown divider when only the answer and number to divide is known.

Published on 12 Jun 2018 - 6:15

108

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How can I understand the proof of integer divisibility?

Published on 12 Jun 2018 - 9:07

107

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Minimum value of $n$ such that $nq+k$ is divisible by $p$

Published on 12 Jun 2018 - 20:22

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Catching the bus through NT

Published on 13 Jun 2018 - 1:56

List Question

Find $a$, $b$, $c$ such that $\frac{1}{a}+\frac{1}{b}+\frac{2}{c}$ is integer

Relatively prime and divisibility proof

Prime that divides $a^2-1$ but not $a-1$

Necessary condition of Diophantine equation to have integer solution?

Prove or show a counter example for: $\forall a, b, c \in \mathbb Z$, if $ab\mid c$ then $a\mid c$ and $b\mid c$

Proof by induction $3^{2n}-2^n$ is multiply of 7

Is there a general formula for finding the smallest non-trivial positive divisor of a natural number?

$1^n-3^n-6^n+8^n$ is divisible by $10$

$a,b,c,d$ are positive integers such that $ad=bc$. Prove that $n=a+b+c+d$ cannot be prime

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

Putnam Question (Pigeonhole Principle on divisibility of sequences)

How to find an unknown divider when only the answer and number to divide is known.

How can I understand the proof of integer divisibility?

Minimum value of $n$ such that $nq+k$ is divisible by $p$

Catching the bus through NT

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