List questions from elementary-number-theory

643

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Prove that $x² + y² = z^n$ has a solution in $\mathbb{N}$, for all $n$ belonging to the set of natural numbers

Published on 15 Apr 2026 - 22:42

132

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Solve equation in prime numbers

Published on 11 Apr 2026 - 20:52

45

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$5 \mid k(k^2 +1)(k-1)^2 \implies k\not\equiv 4$ mod $5$

Published on 17 Apr 2026 - 0:14

71

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Prove that, $\textrm{LCM}(\textrm{GCD}(m,x),\textrm{GCD}(n,x)) = \textrm{GCD}(\textrm{LCM}(m,n),x)$

Published on 09 Apr 2026 - 7:31

91

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Find a remainder when dividing some number $n\in \mathbb N$ with 30

Published on 16 Apr 2026 - 9:53

185

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How to form a set of numbers whose product is maximum?

Published on 12 Apr 2026 - 9:43

61

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Non-Chen primes dividing $3^k+3$ and $2^k-3$

Published on 11 Apr 2026 - 4:53

218

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Prime solutions to a congruence modulo a semi-prime

Published on 01 May 2026 - 0:45

57

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$\{ \frac{n}{2^k} = x \}$ , A simple Question that's bothering me.

Published on 15 Apr 2026 - 4:42

248

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N and M are positive integers having same digits but in different order, N + M = 10^10, then prove that N is divisible by 10.

Published on 16 Apr 2026 - 3:11

192

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Find a prime divisor of the these numbers

Published on 15 Apr 2026 - 20:10

1.2k

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Why are partitions and equivalence relations the same thing?

Published on 10 May 2026 - 18:25

55

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How to prove that when we change numeral system same number becomes shorter

Published on 11 May 2026 - 2:12

57

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Factors of Square Numbers

Published on 11 May 2026 - 8:27

128

Views

Subadditive and submultiplicative norms on $\mathbb{Q}$

Published on 14 Apr 2026 - 8:43

List Question

Prove that $x² + y² = z^n$ has a solution in $\mathbb{N}$, for all $n$ belonging to the set of natural numbers

Solve equation in prime numbers

$5 \mid k(k^2 +1)(k-1)^2 \implies k\not\equiv 4$ mod $5$

Prove that, $\textrm{LCM}(\textrm{GCD}(m,x),\textrm{GCD}(n,x)) = \textrm{GCD}(\textrm{LCM}(m,n),x)$

Find a remainder when dividing some number $n\in \mathbb N$ with 30

How to form a set of numbers whose product is maximum?

Non-Chen primes dividing $3^k+3$ and $2^k-3$

Prime solutions to a congruence modulo a semi-prime

$\{ \frac{n}{2^k} = x \}$ , A simple Question that's bothering me.

N and M are positive integers having same digits but in different order, N + M = 10^10, then prove that N is divisible by 10.

Find a prime divisor of the these numbers

Why are partitions and equivalence relations the same thing?

How to prove that when we change numeral system same number becomes shorter

Factors of Square Numbers

Subadditive and submultiplicative norms on $\mathbb{Q}$

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