List questions from elementary-number-theory

Published on 11 May 2026 - 0:27

67

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How to prove $p=2^{2^s}+1$ for some $s \in \Bbb N$

Published on 12 Apr 2026 - 7:42

582

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Counting integers less than $n$ that are relatively prime to $x\#$

Published on 15 May 2026 - 11:38

127

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Need examples of $n^{20}$ & $n^{200}$ to see a pattern.

Published on 13 Apr 2026 - 22:04

74

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Meaning of dividing every side of congruence

Published on 13 Apr 2026 - 23:45

202

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Prove if $(16a+17b)(17a+16b)$ is divisble by $11$, then $(16a+17b)(17a+16b)$ is divisible by $121, a, b \in \mathbb Z$

Published on 15 Apr 2026 - 11:33

106

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If $12\mid{a}$ then $4\nmid{b}$ or $4\mid{(8+2a+5b)}$.

Published on 16 Apr 2026 - 18:23

68

Views

Sum of digits of n^n

Published on 13 Apr 2026 - 18:59

33

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working with traded numbers

Published on 09 Apr 2026 - 6:11

191

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Number theory learning curve

Published on 14 May 2026 - 2:14

227

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Asymptotic formula for $\sum_{k=1}^n \frac{1}{\varphi(k)}$?

Published on 12 Apr 2026 - 19:17

116

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The slope of $nx\ \%\ m$

Published on 10 May 2026 - 16:11

327

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Modular reduction of fractions [Congruence Quotient Rule]

Published on 08 Apr 2026 - 22:38

706

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Let $p$ an odd prime, $s$ the smallest integer quadratic non residue modulo $p$. Prove that $p > 2s^2-s$ if $-1$ is quadratic residue modulo $p$.

Published on 16 Apr 2026 - 13:33

187

Views

Using disjunction prove that for all integers $m$ and $n$ if $mn$ is even then $m$ is even or $n$ is even

Published on 16 Apr 2026 - 6:18

List Question

Proof of Möbius inversion formula - the other direction

How to prove $p=2^{2^s}+1$ for some $s \in \Bbb N$

Counting integers less than $n$ that are relatively prime to $x\#$

Need examples of $n^{20}$ & $n^{200}$ to see a pattern.

Meaning of dividing every side of congruence

Prove if $(16a+17b)(17a+16b)$ is divisble by $11$, then $(16a+17b)(17a+16b)$ is divisible by $121, a, b \in \mathbb Z$

If $12\mid{a}$ then $4\nmid{b}$ or $4\mid{(8+2a+5b)}$.

Sum of digits of n^n

working with traded numbers

Number theory learning curve

Asymptotic formula for $\sum_{k=1}^n \frac{1}{\varphi(k)}$?

The slope of $nx\ \%\ m$

Modular reduction of fractions [Congruence Quotient Rule]

Let $p$ an odd prime, $s$ the smallest integer quadratic non residue modulo $p$. Prove that $p > 2s^2-s$ if $-1$ is quadratic residue modulo $p$.

Using disjunction prove that for all integers $m$ and $n$ if $mn$ is even then $m$ is even or $n$ is even

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