List questions from natural-numbers

Published on 25 Mar 2026 - 21:48

377

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Knowing that, in $\mathbb{N}$, $m+n \neq n$, show that if $n\leq m$ and $m\leq n$, then $m=n$.

Published on 26 Mar 2026 - 11:01

359

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Find a function over natural numbers with specific properties

Published on 25 Aug 2019 - 10:38

62

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Factorize the natural number $n$ with the method $\rho$-rho of Pollard

Published on 26 Mar 2026 - 17:32

69

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Proofs with axioms for natural numbers

Published on 26 Mar 2026 - 12:34

91

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Does the series, ${1,\frac{1}{2},\frac{2}{3}},\frac{3}{8},\frac{8}{15},...$ has any famous relation to any problem/field or a definition?

Published on 04 Sep 2019 - 17:40

309

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Prove that $n!=\prod_{k=1}^n \operatorname{lcm}(1,2,...,\lfloor n/k \rfloor)$ for any $n \in \mathbb N$

Published on 06 Sep 2019 - 10:34

845

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Prove that the set of Algebraic Numbers is countable.

Published on 07 Sep 2019 - 2:23

164

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To prove that $(\mathbb{P(N)},d)$ is a metric space

Published on 07 Sep 2019 - 8:40

71

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Problem about finding a non prime number satisfying several conditions

Published on 08 Sep 2019 - 6:04

113

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Does a strictly increasing function satisfying this exist?

Published on 09 Sep 2019 - 10:16

56

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Induction inequality related with $e$ number.

Published on 10 Sep 2019 - 6:48

449

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Sum of digits of squares of a number and its reverse

Published on 12 Sep 2019 - 11:45

50

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Prove that $d(i,j)$ is a metric on $\{1,..,m\}$

Published on 14 Sep 2019 - 14:44

114

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Sorting natural numbers based on metric?

Published on 15 Sep 2019 - 8:45

List Question

Can a number be partitioned into parts satisfying this condition?

Knowing that, in $\mathbb{N}$, $m+n \neq n$, show that if $n\leq m$ and $m\leq n$, then $m=n$.

Find a function over natural numbers with specific properties

Factorize the natural number $n$ with the method $\rho$-rho of Pollard

Proofs with axioms for natural numbers

Does the series, ${1,\frac{1}{2},\frac{2}{3}},\frac{3}{8},\frac{8}{15},...$ has any famous relation to any problem/field or a definition?

Prove that $n!=\prod_{k=1}^n \operatorname{lcm}(1,2,...,\lfloor n/k \rfloor)$ for any $n \in \mathbb N$

Prove that the set of Algebraic Numbers is countable.

To prove that $(\mathbb{P(N)},d)$ is a metric space

Problem about finding a non prime number satisfying several conditions

Does a strictly increasing function satisfying this exist?

Induction inequality related with $e$ number.

Sum of digits of squares of a number and its reverse

Prove that $d(i,j)$ is a metric on $\{1,..,m\}$

Sorting natural numbers based on metric?

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