List questions from elementary-number-theory

Published on 11 Apr 2026 - 22:29

170

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Find $p, q, r$ prime numbers such that $r^2 - q^2 - p^2 = n^2$.

Published on 17 Apr 2026 - 3:55

106

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All the prime factors of composite n create a number divisible by n.

Published on 14 Apr 2026 - 21:22

331

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Find all Pythagorean triangles whose area is twice a perfect square.

Published on 10 May 2026 - 21:24

54

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Is it possible to find $x$ in a general form or forms for the equation $2n^2 + 2n + 1$ mod $x = 0$?

Published on 14 Apr 2026 - 19:35

214

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Is there an anomaly in the distribution of Mersenne primes?

Published on 15 May 2026 - 9:53

201

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If $p \geq 11$ is a prime then either $p^3-1$ or $p^3+1$ is divisible by $14$

Published on 16 Apr 2026 - 0:28

110

Views

How to solve such a quadratic congruence equation?

Published on 09 Apr 2026 - 6:02

124

Views

Odd Pythagorian triplets

Published on 10 May 2026 - 20:08

1.2k

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Last two digits of odd products

Published on 10 Apr 2026 - 18:04

642

Views

Does the arithmetic derivative have a geometric interpretation

Published on 09 Apr 2026 - 12:17

116

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Find integer solutions for $m^3-n^2=2$

Published on 16 Apr 2026 - 4:32

21

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How to estimate the numbers of the integer points of $\frac{(m-1)(m-2)}{2}+k\leq N$, $a\leq\frac{k}{m}\leq b$

Published on 10 May 2026 - 23:41

100

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$t=\exp(x-u) \quad u=\exp(x-t)$ for some $x =0..1$ Can $u \ne t$?

Published on 16 Apr 2026 - 5:30

510

Views

Proof that $x^{(n+4)} \bmod 10 = x^n \bmod 10\,$ for $\,n\ge 1$

Published on 16 Apr 2026 - 4:31

List Question

Are all highly composite numbers even?

Find $p, q, r$ prime numbers such that $r^2 - q^2 - p^2 = n^2$.

All the prime factors of composite n create a number divisible by n.

Find all Pythagorean triangles whose area is twice a perfect square.

Is it possible to find $x$ in a general form or forms for the equation $2n^2 + 2n + 1$ mod $x = 0$?

Is there an anomaly in the distribution of Mersenne primes?

If $p \geq 11$ is a prime then either $p^3-1$ or $p^3+1$ is divisible by $14$

How to solve such a quadratic congruence equation?

Odd Pythagorian triplets

Last two digits of odd products

Does the arithmetic derivative have a geometric interpretation

Find integer solutions for $m^3-n^2=2$

How to estimate the numbers of the integer points of $\frac{(m-1)(m-2)}{2}+k\leq N$, $a\leq\frac{k}{m}\leq b$

$t=\exp(x-u) \quad u=\exp(x-t)$ for some $x =0..1$ Can $u \ne t$?

Proof that $x^{(n+4)} \bmod 10 = x^n \bmod 10\,$ for $\,n\ge 1$

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