List questions from elementary-number-theory

Published on 13 Apr 2026 - 11:56

214

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How sure can we be that $\underbrace {k\cdots k}_{m\ k's}$ cannot be a perfect power?

Published on 10 May 2026 - 17:15

853

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Can the sum of two squares be used to determine if a number is square free?

Published on 11 May 2026 - 4:23

330

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Product of sum of reciprocals

Published on 05 May 2026 - 7:37

63

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Do $\mathbb{N}=\left\{1,2,\dots\right\}$ and $\mathbb{N}_0=\left\{0,1,2,\dots\right\}$ determine the same algebra?

Published on 16 Apr 2026 - 5:06

92

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Relation between residues and primitive roots modulo $p$

Published on 10 May 2026 - 20:01

33

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About fractional modulus

Published on 08 Apr 2026 - 18:36

567

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If $a^3 \equiv b^3\pmod{11}$ then $a \equiv b \pmod{11}$.

Published on 16 Apr 2026 - 6:54

321

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How should this proof of the associativity of natural number addition be understood?

Published on 10 May 2026 - 23:38

85

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definition of valuation ring of a place on wikipedia

Published on 10 May 2026 - 16:17

318

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Burton Archimedean property proof

Published on 15 Apr 2026 - 22:35

3.2k

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Repeatedly dividing $360$ by $2$ preserves that the sum of the digits (including decimals) is $9$

Published on 11 May 2026 - 4:23

154

Views

Integer valued polynomials in several variables

Published on 12 May 2026 - 5:21

33

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Proof that a^a + b^b = c^c has no solutions for any natural numbers

Published on 10 Apr 2026 - 20:05

84

Views

Generating function for Fibonacci-like sequence

Published on 11 Apr 2026 - 15:48

List Question

Characteristic function / Indicator function

How sure can we be that $\underbrace {k\cdots k}_{m\ k's}$ cannot be a perfect power?

Can the sum of two squares be used to determine if a number is square free?

Product of sum of reciprocals

Do $\mathbb{N}=\left\{1,2,\dots\right\}$ and $\mathbb{N}_0=\left\{0,1,2,\dots\right\}$ determine the same algebra?

Relation between residues and primitive roots modulo $p$

About fractional modulus

If $a^3 \equiv b^3\pmod{11}$ then $a \equiv b \pmod{11}$.

How should this proof of the associativity of natural number addition be understood?

definition of valuation ring of a place on wikipedia

Burton Archimedean property proof

Repeatedly dividing $360$ by $2$ preserves that the sum of the digits (including decimals) is $9$

Integer valued polynomials in several variables

Proof that a^a + b^b = c^c has no solutions for any natural numbers

Generating function for Fibonacci-like sequence

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