List questions from elementary-number-theory

Published on 14 May 2026 - 16:21

851

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Which integers have order 6 (mod 37)?

Published on 14 Apr 2026 - 12:31

49

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Prove that if $n,d\in\mathbb{Z^+}$ and $2{n^2}\equiv0\pmod{d}\therefore n^2+d$ is not a perfect square.

Published on 15 Apr 2026 - 17:12

730

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Suppose $a,b\in\mathbb{Z}$. If $a^2(b^2-2b)$ is odd, then $a$ and $b$ are odd.

Published on 29 Apr 2026 - 17:19

810

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Suppose $n\in\mathbb{Z}$. If $3 \nmid n^2$, then $3 \nmid n$.

Published on 06 May 2026 - 8:40

124

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Unjustified assumption in proving that if $d\mid n$ then $d$ only contains primes that occur in $n$

Published on 06 May 2026 - 8:43

275

Views

coprime divisibility: is $ax-1$ divisible by $n$?

Published on 09 Apr 2026 - 5:53

238

Views

What is the Generating Function for the sequence of reciprocal triangular numbers?

Published on 16 May 2026 - 4:56

1.5k

Views

If integers $a$ and $b$ are not both zero, then $\gcd(a,b)=\gcd(a-b,b)$

Published on 29 Apr 2026 - 17:18

289

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sum free sets and 4th schur number

Published on 15 Apr 2026 - 8:33

169

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Find $n^2+58n$, such that it is a square number

Published on 11 May 2026 - 9:31

54

Views

Prove the statement true for every positive integer k

Published on 09 Apr 2026 - 12:20

162

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How to find all the solutions for $\sum\limits_{i=1}^{n} \frac{1}{2^{k_i}}= 1$ for $k_i\in \Bbb{N}$ and $n$ a fixed positive integer?

Published on 14 Apr 2026 - 21:14

98

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Span of an equation

Published on 09 Apr 2026 - 17:49

1.1k

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Proof by contradiction: If n is an integer greater than 2, then for all integers m, n does not divide m and n + m $\neq$ nm.

Published on 14 Apr 2026 - 16:10

List Question

Digits in product of two numbers

Which integers have order 6 (mod 37)?

Prove that if $n,d\in\mathbb{Z^+}$ and $2{n^2}\equiv0\pmod{d}\therefore n^2+d$ is not a perfect square.

Suppose $a,b\in\mathbb{Z}$. If $a^2(b^2-2b)$ is odd, then $a$ and $b$ are odd.

Suppose $n\in\mathbb{Z}$. If $3 \nmid n^2$, then $3 \nmid n$.

Unjustified assumption in proving that if $d\mid n$ then $d$ only contains primes that occur in $n$

coprime divisibility: is $ax-1$ divisible by $n$?

What is the Generating Function for the sequence of reciprocal triangular numbers?

If integers $a$ and $b$ are not both zero, then $\gcd(a,b)=\gcd(a-b,b)$

sum free sets and 4th schur number

Find $n^2+58n$, such that it is a square number

Prove the statement true for every positive integer k

How to find all the solutions for $\sum\limits_{i=1}^{n} \frac{1}{2^{k_i}}= 1$ for $k_i\in \Bbb{N}$ and $n$ a fixed positive integer?

Span of an equation

Proof by contradiction: If n is an integer greater than 2, then for all integers m, n does not divide m and n + m $\neq$ nm.

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