List questions from number-theory

Published on 09 Apr 2026 - 15:20

48

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Help regarding quadratic residue

Published on 06 Apr 2026 - 18:24

80

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Prove $\prod_{c < p \leq x} \left(1 - \frac{c}{p} \right) \ll \log ^{-c} x .$

Published on 15 Mar 2018 - 20:07

101

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Average order of $\sigma_1(n)^2$

Published on 12 Apr 2026 - 22:22

269

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Confusion about little-o and sums

Published on 11 Apr 2026 - 0:47

1k

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Is $x^2 \equiv 1 \pmod{p^k} \iff x \equiv \pm 1 \pmod {p^k}$ for odd prime $p$?

Published on 06 Apr 2026 - 9:02

65

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Advantage of Fourier transform on $\mathbb{Z}_N$

Published on 09 Apr 2026 - 6:07

180

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Why are people interested in square-free values?

Published on 16 Mar 2018 - 11:00

192

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If $\frac{a(m^n-1)}{n(m-1)}+1$ divides $m^n-1$, then $(n,m,a)=(2,5,1),(2,9,3),(2,13,1)$?

Published on 16 Mar 2018 - 11:48

262

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$\sum_{i=1}^n P(n,i)$

Published on 09 Apr 2026 - 6:04

49

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Steps of Euclidean Algorithm

Published on 14 Apr 2026 - 1:41

220

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Proving that $3^{n+2}$ does not divide $2^{3^n} +1$ for any positive integer $n$

Published on 16 Mar 2018 - 15:03

185

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Prove that every row of the Trinomial Triangle contains at least one even number.

Published on 08 Apr 2026 - 22:28

109

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ABC conjecture for multivariate polynomials?

Published on 12 Apr 2026 - 18:38

45

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Find and simplify $a^3+c^3-b^3c\pmod{19}$ when $a \equiv 2\pmod {19},b \equiv 4\pmod {19}, c \equiv 5\pmod {19}$

Published on 16 Mar 2018 - 18:07

List Question

Lagrange Theorem Application in Number Theory

Help regarding quadratic residue

Prove $\prod_{c < p \leq x} \left(1 - \frac{c}{p} \right) \ll \log ^{-c} x .$

Average order of $\sigma_1(n)^2$

Confusion about little-o and sums

Is $x^2 \equiv 1 \pmod{p^k} \iff x \equiv \pm 1 \pmod {p^k}$ for odd prime $p$?

Advantage of Fourier transform on $\mathbb{Z}_N$

Why are people interested in square-free values?

If $\frac{a(m^n-1)}{n(m-1)}+1$ divides $m^n-1$, then $(n,m,a)=(2,5,1),(2,9,3),(2,13,1)$?

$\sum_{i=1}^n P(n,i)$

Steps of Euclidean Algorithm

Proving that $3^{n+2}$ does not divide $2^{3^n} +1$ for any positive integer $n$

Prove that every row of the Trinomial Triangle contains at least one even number.

ABC conjecture for multivariate polynomials?

Find and simplify $a^3+c^3-b^3c\pmod{19}$ when $a \equiv 2\pmod {19},b \equiv 4\pmod {19}, c \equiv 5\pmod {19}$

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