List questions from elementary-number-theory

Published on 15 Apr 2026 - 12:25

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Does the base-10 (decimal) system have a natural advantage over other bases?

Published on 12 Apr 2026 - 19:06

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On the quantity ${n^2}/D(n^2)$ where $n^2$ is the non-Euler part of members of the OEIS sequence A228059

Published on 15 Apr 2026 - 15:45

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Analytical problem from CSMO 2018

Published on 17 Apr 2026 - 13:01

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$p >2$ is a prime, any facts about congruence relation between the class number of $Q(\sqrt p)$ and $Q(\sqrt{-p})$?

Published on 16 Apr 2026 - 0:18

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Show that the number of multiples of $m$ in $[1, x]$ is $\lfloor \frac{x}{m} \rfloor$

Published on 16 Apr 2026 - 3:13

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Let $p$ be prime, and $n < p$. Then $n\times i$ "hits" every residue class for $0 < i < p$. (Searching for clean proof)

Published on 18 Apr 2026 - 20:24

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If $a_1=a_2=a_3=1$ then if $n>3$ show that $2^{\gcd(a_{n-2},a_{n-3})}+a_{n-1}=2n-5.$

Published on 16 Apr 2026 - 21:34

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Euler's summation formula proof

Published on 14 Apr 2026 - 5:11

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Show that $x^2+9x+20$ is divisible by 2 for all $x \in \mathbb{Z}$

Published on 14 Apr 2026 - 5:52

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Prove by mathematical induction that $n^4 − n^3 + n^2 − n$ is divisible by $2$ for all positive integers $n$.

Published on 14 Apr 2026 - 22:45

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Solutions of the equation $(m! + 2)\sigma(n) = 2n \cdot m!$ where $5 \leq m$

Published on 16 Apr 2026 - 9:44

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Property of prime divisors in group theory

Published on 08 Apr 2026 - 19:28

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Positive integers have the form $a^2+b^2+c^2+2^d$

Published on 16 Apr 2026 - 9:48

70

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Understanding part of derivation of Chebychev's Theorem

Published on 16 Apr 2026 - 23:43

List Question

Is $198585576189$ a member of OEIS sequence A228059?

Does the base-10 (decimal) system have a natural advantage over other bases?

On the quantity ${n^2}/D(n^2)$ where $n^2$ is the non-Euler part of members of the OEIS sequence A228059

Analytical problem from CSMO 2018

$p >2$ is a prime, any facts about congruence relation between the class number of $Q(\sqrt p)$ and $Q(\sqrt{-p})$?

Show that the number of multiples of $m$ in $[1, x]$ is $\lfloor \frac{x}{m} \rfloor$

Let $p$ be prime, and $n < p$. Then $n\times i$ "hits" every residue class for $0 < i < p$. (Searching for clean proof)

If $a_1=a_2=a_3=1$ then if $n>3$ show that $2^{\gcd(a_{n-2},a_{n-3})}+a_{n-1}=2n-5.$

Euler's summation formula proof

Show that $x^2+9x+20$ is divisible by 2 for all $x \in \mathbb{Z}$

Prove by mathematical induction that $n^4 − n^3 + n^2 − n$ is divisible by $2$ for all positive integers $n$.

Solutions of the equation $(m! + 2)\sigma(n) = 2n \cdot m!$ where $5 \leq m$

Property of prime divisors in group theory

Positive integers have the form $a^2+b^2+c^2+2^d$

Understanding part of derivation of Chebychev's Theorem

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