List questions from number-theory

Published on 13 Apr 2026 - 3:59

120

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Sum of a geometric series over natural density zero indices

Published on 14 Apr 2026 - 4:21

124

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$a^n+b^{n+2}=c^{n+1}$ (any solutions, other than this one?)

Published on 17 Apr 2026 - 4:15

236

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No canonical non-quadratic residue for primes $\equiv 1 \bmod 8$?

Published on 16 Apr 2026 - 1:54

109

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prove that there exist a constant $C>0$ such that $p(n) :=$ number of unorders sets of positive integers whose sum is $n \geq e ^ {(c{\sqrt n})}$

Published on 16 Apr 2026 - 0:43

358

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prove that the product of primes in a given interval is less than or equal to binom

Published on 16 Apr 2026 - 13:19

57

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Inequality on sums

Published on 11 Apr 2026 - 10:41

366

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A limit involving the Thue–Morse sequence

Published on 13 Apr 2026 - 7:50

266

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Proof that $\sum\limits_i \frac{(p-1)!}i$ is divisible by $p$

Published on 11 Apr 2026 - 6:04

80

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Which totally complex number field's embeddings correspond to geometric rotations/reflections in an argand diagram?

Published on 13 Apr 2026 - 21:55

388

Views

The complex rational function is a polynomial if it takes integer value when variable is an integer

Published on 10 Apr 2026 - 7:51

44

Views

Solving the following congruence

Published on 10 Apr 2026 - 3:56

276

Views

Diophantine Equation Concerning Powers of 2

Published on 11 Apr 2026 - 11:45

64

Views

Is there an easy criterion when $\binom{n}{m}$ is divisible by $q^2$?

Published on 25 Mar 2026 - 11:26

68

Views

Sum over prime and sum over prime ideals

Published on 11 Apr 2026 - 17:13

List Question

Sum of the total numbers of the number added in between them

Sum of a geometric series over natural density zero indices

$a^n+b^{n+2}=c^{n+1}$ (any solutions, other than this one?)

No canonical non-quadratic residue for primes $\equiv 1 \bmod 8$?

prove that there exist a constant $C>0$ such that $p(n) :=$ number of unorders sets of positive integers whose sum is $n \geq e ^ {(c{\sqrt n})}$

prove that the product of primes in a given interval is less than or equal to binom

Inequality on sums

A limit involving the Thue–Morse sequence

Proof that $\sum\limits_i \frac{(p-1)!}i$ is divisible by $p$

Which totally complex number field's embeddings correspond to geometric rotations/reflections in an argand diagram?

The complex rational function is a polynomial if it takes integer value when variable is an integer

Solving the following congruence

Diophantine Equation Concerning Powers of 2

Is there an easy criterion when $\binom{n}{m}$ is divisible by $q^2$?

Sum over prime and sum over prime ideals

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