List questions from elementary-number-theory

Published on 28 Apr 2026 - 9:06

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Number of solutions to $1/x+1/y=1/1995$ in $\mathbb N^2$

Published on 17 Apr 2026 - 14:27

101

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Proving : For all integers $n\ge 2$ , there exists prime $p$ such that $p\mid n!$ but $p^2$ does not divide $n!$

Published on 15 Apr 2026 - 11:49

248

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Can I check, whether $n$ with $\frac{n}{\phi(n)}=r$ exists?

Published on 13 Apr 2026 - 7:14

117

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What is the modulus for any Tetrahedral number n by any Triangular number m?

Published on 16 Apr 2026 - 3:53

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Multiplying congruences.

Published on 14 Apr 2026 - 6:05

48

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Every number as a sum of $2^e3^f$ with a special condition

Published on 14 Apr 2026 - 15:12

206

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A non-zero continuous function such that summing over equally spaced values always gives zero

Published on 10 Apr 2026 - 3:34

74

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$2\cdot x^n\cdot y^n \equiv -1$ mod $p$ is not true

Published on 17 Apr 2026 - 7:26

145

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How to compute $(\mathbb{Z}\oplus\mathbb{Z}/d\mathbb{Z})/\langle(a,b+d\mathbb{Z})\rangle$?

Published on 10 Apr 2026 - 17:24

81

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Can I efficiently (without brute force) determine the smallest number having the given property?

Published on 23 Apr 2026 - 3:49

344

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Could a Mersenne prime divide an odd perfect number?

Published on 25 Apr 2026 - 15:40

175

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sum of the squares of two rationals numbers

Published on 17 Apr 2026 - 4:03

248

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Summing $\sum\frac{1}{i}$ with two constraints on $i$

Published on 11 Apr 2026 - 15:48

69

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What is the uniquely determined multiplicative function which agrees with $f$ at the prime powers?

Published on 09 Apr 2026 - 22:22

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Quadratic Reciprocity problem.. help!

Number of solutions to $1/x+1/y=1/1995$ in $\mathbb N^2$

Proving : For all integers $n\ge 2$ , there exists prime $p$ such that $p\mid n!$ but $p^2$ does not divide $n!$

Can I check, whether $n$ with $\frac{n}{\phi(n)}=r$ exists?

What is the modulus for any Tetrahedral number n by any Triangular number m?

Multiplying congruences.

Every number as a sum of $2^e3^f$ with a special condition

A non-zero continuous function such that summing over equally spaced values always gives zero

$2\cdot x^n\cdot y^n \equiv -1$ mod $p$ is not true

How to compute $(\mathbb{Z}\oplus\mathbb{Z}/d\mathbb{Z})/\langle(a,b+d\mathbb{Z})\rangle$?

Can I efficiently (without brute force) determine the smallest number having the given property?

Could a Mersenne prime divide an odd perfect number?

sum of the squares of two rationals numbers

Summing $\sum\frac{1}{i}$ with two constraints on $i$

What is the uniquely determined multiplicative function which agrees with $f$ at the prime powers?

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