List questions from number-theory

Published on 15 Apr 2026 - 10:05

81

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Proving bijection of a one way function

Published on 13 Apr 2026 - 2:27

1k

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How to prove that a number $n$ is divisible by $2^k$, if taking at most last $k$ digits of the number together, let it be $m$, is divisible by $2^k$?

Published on 12 Apr 2026 - 22:07

55

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Diophantine trouble

Published on 09 Apr 2026 - 4:35

600

Views

Finding a non-quadratic residue mod $p$

Published on 13 Apr 2026 - 8:14

928

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Are there any partial proofs for the collatz conjecture?

Published on 11 Apr 2026 - 9:34

619

Views

prove that $\frac{a_n}{n}\rightarrow 1$: strange contest problem

Published on 17 Apr 2026 - 6:16

260

Views

Intuitive "proof" of the Euler theorem

Published on 12 Apr 2026 - 15:05

442

Views

On the complete rational solutions of $x^3+y^3+z^3=1$

Published on 16 Apr 2026 - 1:59

495

Views

How to apply the Chinese remainder theorem in proof of Euclid's theorem.

Published on 12 Apr 2026 - 6:02

428

Views

Quadratic surd continued fraction convergent ratio limit

Published on 12 Apr 2026 - 4:44

118

Views

Asymptotic Expansion of $\frac{1}{2\pi i} \int_{c-i\infty}^{c+i\infty}\frac{x^{s+1}}{s(s+1)}(1-2^{-s})\zeta^2(s)ds$

Published on 15 Apr 2026 - 8:15

39

Views

How can we prove that any pattner appears in the Liouville sequence?

Published on 16 Apr 2026 - 8:06

210

Views

Zsigmondy's theorem

Published on 28 Apr 2026 - 18:02

30

Views

A question about prime divisors

Published on 10 Apr 2026 - 7:25

List Question

Can the integers $n$ expressible as $2a^2-3b^2$ be classified?

Proving bijection of a one way function

How to prove that a number $n$ is divisible by $2^k$, if taking at most last $k$ digits of the number together, let it be $m$, is divisible by $2^k$?

Diophantine trouble

Finding a non-quadratic residue mod $p$

Are there any partial proofs for the collatz conjecture?

prove that $\frac{a_n}{n}\rightarrow 1$: strange contest problem

Intuitive "proof" of the Euler theorem

On the complete rational solutions of $x^3+y^3+z^3=1$

How to apply the Chinese remainder theorem in proof of Euclid's theorem.

Quadratic surd continued fraction convergent ratio limit

Asymptotic Expansion of $\frac{1}{2\pi i} \int_{c-i\infty}^{c+i\infty}\frac{x^{s+1}}{s(s+1)}(1-2^{-s})\zeta^2(s)ds$

How can we prove that any pattner appears in the Liouville sequence?

Zsigmondy's theorem

A question about prime divisors

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