List questions from elementary-number-theory

Published on 16 Apr 2026 - 13:40

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Is there any elementary solution for this problem on colored interval?

Published on 10 Apr 2026 - 14:00

692

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Find at least $5$ integers $n$ such that $\varphi(n)=16$

Published on 30 Mar 2026 - 23:53

336

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Let $r$ be the remainder of $a$ when dividing by $b$. Prove: $2^r -1$ is the remainder of $2^a -1$ when dividing by $2^b -1$

Published on 16 Apr 2026 - 15:24

51

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if $n_{3}\equiv1\pmod3$ and $n_{3}\mid7$ then $n_{3}\in \{1,7\}$

Published on 13 Apr 2026 - 19:04

238

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Numerical example for $\gcd(a,b)=\prod p_i^{\min(a_i,b_i)}$

Published on 09 Apr 2026 - 11:18

104

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Prove that $\forall n > 1, n \nmid 2^n-1$.

Published on 15 Apr 2026 - 6:34

1k

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is there a faster method to calculate $1/x$ ($x$ an integer) than this?

Published on 11 May 2026 - 0:43

316

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Modular multiplicative inverse proof

Published on 15 Apr 2026 - 14:34

651

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Prove that the product of any two numbers between two consecutive squares is never a perfect square

Published on 15 Apr 2026 - 15:14

52

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Greatest common divisor with $a \cdot s + b \cdot t = ggT(a,b)$

Published on 14 Apr 2026 - 23:01

59

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Triviality of $d|n$

Published on 13 Apr 2026 - 16:55

36

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An elementary problem concerning real nuumbers

Published on 16 May 2026 - 21:07

225

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Given surface area of a cuboid, find it's integer side lengths.

Published on 13 Apr 2026 - 16:15

98

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If $p^4 | z^2$, then $p^2 | z$ for $p$ a prime and $z$ some positive integer.

Published on 15 Apr 2026 - 18:53

List Question

show $p\mid 2^n-n$ for infinitely many $n$

Is there any elementary solution for this problem on colored interval?

Find at least $5$ integers $n$ such that $\varphi(n)=16$

Let $r$ be the remainder of $a$ when dividing by $b$. Prove: $2^r -1$ is the remainder of $2^a -1$ when dividing by $2^b -1$

if $n_{3}\equiv1\pmod3$ and $n_{3}\mid7$ then $n_{3}\in \{1,7\}$

Numerical example for $\gcd(a,b)=\prod p_i^{\min(a_i,b_i)}$

Prove that $\forall n > 1, n \nmid 2^n-1$.

is there a faster method to calculate $1/x$ ($x$ an integer) than this?

Modular multiplicative inverse proof

Prove that the product of any two numbers between two consecutive squares is never a perfect square

Greatest common divisor with $a \cdot s + b \cdot t = ggT(a,b)$

Triviality of $d|n$

An elementary problem concerning real nuumbers

Given surface area of a cuboid, find it's integer side lengths.

If $p^4 | z^2$, then $p^2 | z$ for $p$ a prime and $z$ some positive integer.

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