List questions from number-theory

Published on 04 Apr 2026 - 2:59

107

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Interesting number theoretical game

Published on 06 Apr 2026 - 6:30

1.3k

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Show that $(x,y,z)$ is a primitive Pythagorean triple then either $x$ or $y$ is divisible by $3$.

Published on 09 Apr 2026 - 18:17

287

Views

About polynomial value being perfect power.

Published on 09 Apr 2026 - 23:07

81

Views

Name of Theorem for Coloring of $\{1, \dots, n\}$

Published on 29 Mar 2026 - 20:08

220

Views

Reciprocal-totient function, in term of the totient function?

Published on 05 Apr 2026 - 18:16

206

Views

What is the smallest integer $N>2$, such that $x^5+y^5 = N$ has a rational solution?

Published on 09 Apr 2026 - 10:49

309

Views

Integer from base 10 to base 2

Published on 29 Mar 2026 - 21:22

812

Views

How do I show that any natural number of this expression is a natural linear combination?

Published on 09 Apr 2026 - 21:00

441

Views

Counting the number of solutions of the congruence $x^k\equiv h$ (mod q)

Published on 30 Mar 2026 - 11:16

1.1k

Views

What exactly is the definition of Carmichael numbers?

Published on 31 Mar 2026 - 18:28

1.9k

Views

Tensor product commutes with infinite products

Published on 08 Apr 2026 - 22:24

96

Views

Square classes of a real closed field

Published on 08 Apr 2026 - 8:54

189

Views

A certain partition of 28

Published on 05 Apr 2026 - 18:31

2.8k

Views

How many digits are in $125^{100}$?

Published on 02 Apr 2026 - 2:56

List Question

Maximum number of guaranteed coins to get in a "30 coins in 3 boxes" puzzle

Interesting number theoretical game

Show that $(x,y,z)$ is a primitive Pythagorean triple then either $x$ or $y$ is divisible by $3$.

About polynomial value being perfect power.

Name of Theorem for Coloring of $\{1, \dots, n\}$

Reciprocal-totient function, in term of the totient function?

What is the smallest integer $N>2$, such that $x^5+y^5 = N$ has a rational solution?

Integer from base 10 to base 2

How do I show that any natural number of this expression is a natural linear combination?

Counting the number of solutions of the congruence $x^k\equiv h$ (mod q)

What exactly is the definition of Carmichael numbers?

Tensor product commutes with infinite products

Square classes of a real closed field

A certain partition of 28

How many digits are in $125^{100}$?

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