List questions from number-theory

Published on 11 May 2026 - 7:22

362

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What primes $p$ give solutions to $x^{2} \equiv 7 ($mod $ p)$

Published on 11 May 2026 - 10:10

2.3k

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When are quadratic rings of integers unique factorization domains?

Published on 10 May 2026 - 16:13

271

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Evaluating $\liminf_{n\to\infty}n\{n\sqrt2\}$

Published on 10 May 2026 - 14:59

29

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if $n = a_1a_2 \cdots a_r + 2$, then $a_i \nmid n$ for each integer $i (1 \leq i \leq r)$.

Published on 15 Apr 2026 - 19:48

85

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Fraction of a numbers digit permutations that are prime

Published on 11 Apr 2026 - 22:45

66

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Is the set $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ non-empty?

Published on 14 Apr 2026 - 17:27

52

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What is known about the prime factorization of numbers of the form $2^k+1$?

Published on 09 Apr 2026 - 21:14

46

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Can $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}=4$ have positive integer solutions.

Published on 14 Apr 2026 - 15:28

492

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Fermat's Little Theorem and Carmichael Numbers

Published on 15 May 2026 - 22:01

149

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Let $R$ be a finitely generated subring of a number field. Is $R/I$ finite for every non-zero ideal of $R$?

Published on 14 May 2026 - 19:46

85

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Derivation of the Frey curve for $a^2+b^6=c^p$

Published on 15 May 2026 - 5:31

60

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Quadratic reciprocity and Cox

Published on 16 Apr 2026 - 6:27

351

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Integral identity involving Bernoulli polynomials

Published on 10 May 2026 - 19:33

286

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Express rational number as the sum of 4 squares

Published on 14 Apr 2026 - 4:33

List Question

Formula to compute partial sums of the Basel problem?

What primes $p$ give solutions to $x^{2} \equiv 7 ($mod $ p)$

When are quadratic rings of integers unique factorization domains?

Evaluating $\liminf_{n\to\infty}n\{n\sqrt2\}$

if $n = a_1a_2 \cdots a_r + 2$, then $a_i \nmid n$ for each integer $i (1 \leq i \leq r)$.

Fraction of a numbers digit permutations that are prime

Is the set $ \ (\mathbb{Z}_p \setminus \mathbb{Z}) \cap \mathbb{Q}$ non-empty?

What is known about the prime factorization of numbers of the form $2^k+1$?

Can $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}=4$ have positive integer solutions.

Fermat's Little Theorem and Carmichael Numbers

Let $R$ be a finitely generated subring of a number field. Is $R/I$ finite for every non-zero ideal of $R$?

Derivation of the Frey curve for $a^2+b^6=c^p$

Quadratic reciprocity and Cox

Integral identity involving Bernoulli polynomials

Express rational number as the sum of 4 squares

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