List questions from elementary-number-theory

Published on 10 May 2026 - 14:30

46

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Proving $\exists k \in \mathbb{Z}: \forall l \in \mathbb{Z}: \lnot(k \mid l) $?

Published on 15 Apr 2026 - 21:17

448

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What is the meaning of modular fractions?

Published on 10 Apr 2026 - 23:51

310

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divide a number in k parts such that GCD of the part is maximum

Published on 14 Apr 2026 - 16:01

243

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Is there any primitive root of $p$ which is not primitive root of $p^2$ without $1$?

Published on 10 May 2026 - 20:03

95

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Some integer solutions for $a^2+b^2+c^2=d^2$

Published on 15 Apr 2026 - 1:29

168

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Is there a gap in this proof of "$a^3+b^3\not=c^3$"

Published on 15 Apr 2026 - 9:29

63

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Sum of two functions taking integer values infinitely often

Published on 12 Apr 2026 - 16:37

368

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proof that the sum of digits of natural number are divisible by 3 iff the number is

Published on 13 Apr 2026 - 18:09

87

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All positive integers a and b such that $a! + 6 = b^2$

Published on 16 Apr 2026 - 7:27

55

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Prime Numbers: Proving that a "minimal residue" exists

Published on 12 Apr 2026 - 15:49

75

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Natural density of set $\{4^nk\}$, where $k$ is odd

Published on 15 Apr 2026 - 11:07

111

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Maximum Value of $|\sum_{k=1}^n (-1)^{\lfloor ak/b\rfloor}|$

Published on 14 Apr 2026 - 23:53

1.2k

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Given a three digit number $n$, let $f(n)$ be the sum of digits of $n$, their products in pairs, and the product of all digits. When does $n=f(n)$?

Published on 14 Apr 2026 - 19:44

634

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Writing integers as the product of prime powers

Published on 11 Apr 2026 - 2:37

List Question

Find the number of non-negative integer solutions to linear systems

Proving $\exists k \in \mathbb{Z}: \forall l \in \mathbb{Z}: \lnot(k \mid l) $?

What is the meaning of modular fractions?

divide a number in k parts such that GCD of the part is maximum

Is there any primitive root of $p$ which is not primitive root of $p^2$ without $1$?

Some integer solutions for $a^2+b^2+c^2=d^2$

Is there a gap in this proof of "$a^3+b^3\not=c^3$"

Sum of two functions taking integer values infinitely often

proof that the sum of digits of natural number are divisible by 3 iff the number is

All positive integers a and b such that $a! + 6 = b^2$

Prime Numbers: Proving that a "minimal residue" exists

Natural density of set $\{4^nk\}$, where $k$ is odd

Maximum Value of $|\sum_{k=1}^n (-1)^{\lfloor ak/b\rfloor}|$

Given a three digit number $n$, let $f(n)$ be the sum of digits of $n$, their products in pairs, and the product of all digits. When does $n=f(n)$?

Writing integers as the product of prime powers

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