List questions from number-theory

Published on 26 Mar 2026 - 2:51

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Strange Pattern in Decimal Expansion

Published on 11 Apr 2026 - 18:29

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Sum of positive integers while choosing signs

Published on 10 Apr 2026 - 13:47

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Given a sufficiently large integer $N$, is it true that there are more primes than perfect squares in $[1,N]$?

Published on 09 Apr 2026 - 3:41

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Strong vs weak induction on an example from number theory

Published on 10 Apr 2026 - 20:35

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Another version of Erdös-Ginzburg-Ziv theorem

Published on 13 Apr 2026 - 2:01

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Numbers up to 1000 divisible by 2 or 3 and no other prime

Published on 25 Mar 2026 - 1:17

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Number of digits in $2^{1989} $and $5^{1989}$

Published on 13 Apr 2026 - 2:53

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Showing $\prod_{i=0}^{3} L (s, \chi _i) = \prod _{p \equiv 1 (8)} (1-p^{-s})^{-4} \prod_{p \equiv 3, 5, \text{ or } 7 (8)} (1-p^{-2s})^{-2}.$

Published on 02 Mar 2018 - 1:49

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Let $y^2=xz-x^2+1$, and if value of $x$ is known, can $y$ and $z$ be directly calculated?

Published on 02 Mar 2018 - 3:25

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$n=2^k-1$ iff ${n \choose 1}, {n \choose 2}, ..., {n \choose n-1}$ are odd

Published on 13 Apr 2026 - 4:43

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Proving $\sum\limits_{k=0}^{\infty} \left\lfloor\frac{n+2^k}{2^{k+1}}\right\rfloor=n$

Published on 02 Mar 2018 - 10:34

230

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How can I show $q^k$ does not divide ${{n}\choose{q}}$ when $q$ is a prime factor of $n$ and $k$ is the largest integer such that $q^k$ divides $n$?

Published on 25 Mar 2026 - 1:18

290

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Confusion about ideal class group computation

Published on 09 Apr 2026 - 13:22

71

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Multiplicative arithmetic function on the unit disk

Published on 09 Apr 2026 - 1:53

List Question

Prove Inequality using Induction

Strange Pattern in Decimal Expansion

Sum of positive integers while choosing signs

Given a sufficiently large integer $N$, is it true that there are more primes than perfect squares in $[1,N]$?

Strong vs weak induction on an example from number theory

Another version of Erdös-Ginzburg-Ziv theorem

Numbers up to 1000 divisible by 2 or 3 and no other prime

Number of digits in $2^{1989} $and $5^{1989}$

Showing $\prod_{i=0}^{3} L (s, \chi _i) = \prod _{p \equiv 1 (8)} (1-p^{-s})^{-4} \prod_{p \equiv 3, 5, \text{ or } 7 (8)} (1-p^{-2s})^{-2}.$

Let $y^2=xz-x^2+1$, and if value of $x$ is known, can $y$ and $z$ be directly calculated?

$n=2^k-1$ iff ${n \choose 1}, {n \choose 2}, ..., {n \choose n-1}$ are odd

Proving $\sum\limits_{k=0}^{\infty} \left\lfloor\frac{n+2^k}{2^{k+1}}\right\rfloor=n$

How can I show $q^k$ does not divide ${{n}\choose{q}}$ when $q$ is a prime factor of $n$ and $k$ is the largest integer such that $q^k$ divides $n$?

Confusion about ideal class group computation

Multiplicative arithmetic function on the unit disk

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