List questions from elementary-number-theory

Published on 16 Apr 2026 - 10:12

474

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Each Player Removes a Number and All Its Divisors

Published on 11 May 2026 - 9:31

183

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Is there always a positive integer $a$ such that both $a^2-4$ and $a^2+4$ are quadratic non-residues $\bmod p$?

Published on 14 Apr 2026 - 4:47

123

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Intro to binary operations

Published on 11 Apr 2026 - 17:42

53

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Number of non negative integral solutions involving exponents

Published on 15 Apr 2026 - 11:11

427

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Numbers $n$ such that $n$ plus the sum of $n$'s digits is $313$

Published on 16 Apr 2026 - 12:50

65

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Why must any solution of this congruence equation satisfy gcd(x,11)=1?

Published on 14 Apr 2026 - 21:29

430

Views

Patterns in division graphs modulo $n$

Published on 15 May 2026 - 11:24

422

Views

Nigerian Olympiad

Published on 12 Apr 2026 - 8:15

242

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Show that the sum or difference of $a_i$ and $a_j$ from a set of seven distinct integers is divisible by 10

Published on 15 May 2026 - 10:48

694

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What will be the minimum value of $abab$ (a 4 digit number) for its maximum number of factors?

Published on 14 Apr 2026 - 2:45

21

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Calculate least significant digit of large number with exponent

Published on 15 Apr 2026 - 4:22

54

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How to simplify $2 q^{\frac{k-1}{2}} n^2 - \sigma(q^{\frac{k-1}{2}})\sigma(n^2)$

Published on 10 May 2026 - 15:30

1.6k

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throwing a $k$-sided dice until you get every face the same number of times

Published on 17 Apr 2026 - 3:06

49

Views

If $\sigma(n) = 2n - d$ and $d \mid n$, is it true that $d = \gcd(n,\sigma(n))$?

Published on 10 May 2026 - 15:29

List Question

Determine all triples $(m,n,p)$ of positive rational numbers.

Each Player Removes a Number and All Its Divisors

Is there always a positive integer $a$ such that both $a^2-4$ and $a^2+4$ are quadratic non-residues $\bmod p$?

Intro to binary operations

Number of non negative integral solutions involving exponents

Numbers $n$ such that $n$ plus the sum of $n$'s digits is $313$

Why must any solution of this congruence equation satisfy gcd(x,11)=1?

Patterns in division graphs modulo $n$

Nigerian Olympiad

Show that the sum or difference of $a_i$ and $a_j$ from a set of seven distinct integers is divisible by 10

What will be the minimum value of $abab$ (a 4 digit number) for its maximum number of factors?

Calculate least significant digit of large number with exponent

How to simplify $2 q^{\frac{k-1}{2}} n^2 - \sigma(q^{\frac{k-1}{2}})\sigma(n^2)$

throwing a $k$-sided dice until you get every face the same number of times

If $\sigma(n) = 2n - d$ and $d \mid n$, is it true that $d = \gcd(n,\sigma(n))$?

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