List questions from natural-numbers

Published on 07 Jan 2021 - 16:25

36

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How do we know that if we keep going with a step of two in the natural numbers we will land on a perfect square, either odd or even?

Published on 07 Jan 2021 - 20:27

158

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Proving $n\leq3^{n/3}$ for $n\geq0$ via the Well-Ordering Principle [2]

Published on 28 Mar 2026 - 1:07

59

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$s(n)=n+2$ and Peano axioms

Published on 29 Mar 2026 - 10:48

112

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Proof of greatest element of a non-empty set

Published on 15 Jan 2021 - 4:42

122

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Show that $n_1=n_2=...=n_k=1$

Published on 17 Jan 2021 - 18:21

48

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Consider $m\in\mathbb{N}$. Prove that if $m<n$, then $m\neq n$ and $m+1\leq n$

Published on 19 Jan 2021 - 19:24

538

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the (seeming) loop caused by defining Natural numbers through inductive sets.

Published on 22 Jan 2021 - 18:32

266

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$f:\mathbb{N}\to\mathbb{Z}$ which is surjective but not injective

Published on 24 Jan 2021 - 10:08

115

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Confusing moments about the Law of exponents for natural powers

Published on 24 Jan 2021 - 11:53

75

Views

How many natural numbers can't be written as 5p+7q, where p and q are natural numbers?

Published on 26 Jan 2021 - 15:04

74

Views

Need Greatest common divisor explaination

Published on 27 Jan 2021 - 9:24

122

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Peano axioms and natural numbers

Published on 28 Jan 2021 - 11:32

83

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Sum of digits of ternary and novenary numbers

Published on 24 Feb 2026 - 4:46

981

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Set of natural numbers and Peano axioms

Published on 29 Mar 2026 - 14:02

List Question

Natural density extended to real density?

How do we know that if we keep going with a step of two in the natural numbers we will land on a perfect square, either odd or even?

Proving $n\leq3^{n/3}$ for $n\geq0$ via the Well-Ordering Principle [2]

$s(n)=n+2$ and Peano axioms

Proof of greatest element of a non-empty set

Show that $n_1=n_2=...=n_k=1$

Consider $m\in\mathbb{N}$. Prove that if $m<n$, then $m\neq n$ and $m+1\leq n$

the (seeming) loop caused by defining Natural numbers through inductive sets.

$f:\mathbb{N}\to\mathbb{Z}$ which is surjective but not injective

Confusing moments about the Law of exponents for natural powers

How many natural numbers can't be written as 5p+7q, where p and q are natural numbers?

Need Greatest common divisor explaination

Peano axioms and natural numbers

Sum of digits of ternary and novenary numbers

Set of natural numbers and Peano axioms

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