List questions from elementary-number-theory

Published on 15 Apr 2026 - 11:49

78

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Why is $|x|$ defined as $\sqrt{x^2}$ instead of $(\sqrt{x})^2$?

Published on 13 Apr 2026 - 18:42

126

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Three runners start at different speeds, two at 7:00am, one a 7:01am

Published on 14 Apr 2026 - 13:34

55

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Can the set of odd primes be decomposed into $\Bbb{P} = A + B, $ for some $A,B \subset \Bbb{Z}$?

Published on 25 Mar 2026 - 1:18

91

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Prove there are infinitely many positive whole numbers that are NOT of the form $4xy+3x+y$ or $4xy+3x-y$

Published on 14 Apr 2026 - 9:31

389

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Compositeness tests for numbers of the form $k \cdot b^n \pm c$

Published on 13 Apr 2026 - 23:32

6.9k

Views

Prove that $3\cdot 5^{2n+1} +2^{3n+1}$ is divisible by $17$ for all $n ∈ \mathbb{N}$

Published on 15 Apr 2026 - 7:46

48

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Batting average

Published on 17 Apr 2026 - 13:03

973

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Prove that there are infinitely many composite number $m$ such that $a^{m-1} - 1$ is divisible by $m$

Published on 17 Apr 2026 - 16:03

108

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if $d|n$, then $S_2(d) \leq S_2(n)$?

Published on 16 Apr 2026 - 14:19

122

Views

Show that number is divided by $137$?

Published on 10 Apr 2026 - 22:59

845

Views

$n$ or $2n$ is a sum of three squares

Published on 15 Apr 2026 - 10:48

95

Views

Simple inequality with products of finite geometric series

Published on 13 Apr 2026 - 16:30

33

Views

Groups/Rings/Fields question on Elementary Number Theory

Published on 15 Apr 2026 - 18:19

496

Views

Prime counting function $\phi(x)-c(x)$ vs. $x/\ln(x)$

Published on 16 Apr 2026 - 22:37

List Question

Proving Euler-Fermat's Theorem

Why is $|x|$ defined as $\sqrt{x^2}$ instead of $(\sqrt{x})^2$?

Three runners start at different speeds, two at 7:00am, one a 7:01am

Can the set of odd primes be decomposed into $\Bbb{P} = A + B, $ for some $A,B \subset \Bbb{Z}$?

Prove there are infinitely many positive whole numbers that are NOT of the form $4xy+3x+y$ or $4xy+3x-y$

Compositeness tests for numbers of the form $k \cdot b^n \pm c$

Prove that $3\cdot 5^{2n+1} +2^{3n+1}$ is divisible by $17$ for all $n ∈ \mathbb{N}$

Batting average

Prove that there are infinitely many composite number $m$ such that $a^{m-1} - 1$ is divisible by $m$

if $d|n$, then $S_2(d) \leq S_2(n)$?

Show that number is divided by $137$?

$n$ or $2n$ is a sum of three squares

Simple inequality with products of finite geometric series

Groups/Rings/Fields question on Elementary Number Theory

Prime counting function $\phi(x)-c(x)$ vs. $x/\ln(x)$

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