List questions from natural-numbers | MathQa

Is aleph-$0$ a natural number?

Published on 12 Apr 2025 - 16:05

Different ways to represent every natural numbers

Published on 08 Apr 2025 - 10:56

Use an induction argument to prove that for any natural number $n$, the interval $(n,n+1)$ does not contain any natural number.

Published on 14 Apr 2025 - 23:32

Prove that for $n\ge 2$, $2{n \choose 2}+{n \choose 1} = n^2$

Published on 06 Apr 2025 - 22:28

Suppose m, n ∈ N. Explain why n|m implies n ≤ m.

Published on 14 Apr 2025 - 21:36

What are the finite and co-finite subsets of the set of Natural Numbers?

Published on 06 Apr 2025 - 22:25

How to define a large prime number (for example, $7919$)?

Published on 15 Apr 2025 - 4:57

$\mathbb{N} ⊇ A_1 \supset A_2 \supset A_3 \supset \cdots$ but $\bigcap_{n=1}^∞ A_n$ is infinite?

Published on 14 Apr 2025 - 6:36

Solve in $\mathbb N^{2}$ the following equation : $5^{2x}-3\cdot2^{2y}+5^{x}2^{y-1}-2^{y-1}-2\cdot5^{x}+1=0$

Published on 15 Apr 2025 - 9:06

I can't understand how can there be languages of infinite size yet containing only words of finite length.

Published on 14 Apr 2025 - 17:15