MHB International Notations for Number Sets

[Monoxdifly]

Okay, so I know that the international notations for the set of natural numbers, whole numbers, rational numbers, real numbers, and complex numbers are N, Z, Q, R, and C, respectively. However, what are the international notations for the set of integers (natural numbers and zero), even numbers, odd, numbers, prime numbers, composite numbers, and cube numbers? Thanks in advance.

 

[I like Serena]

Okay, so I know that the international notations for the set of natural numbers, whole numbers, rational numbers, real numbers, and complex numbers are N, Z, Q, R, and C, respectively. However, what are the international notations for the set of integers (natural numbers and zero), even numbers, odd, numbers, prime numbers, composite numbers, and cube numbers? Thanks in advance.

Hey Monoxdifly! ;)

The international notations are:

• natural numbers and zero: $\mathbb Z_{\ge 0}$ or $\mathbb Z \setminus \mathbb Z^-$ or $\mathbb N \cup \{0\}$,
  Btw, note that internationally $\mathbb N$ is ambiguous - it can either exclude 0 or include 0.
• even numbers: $2\mathbb Z$ or $\{2k : k\in\mathbb Z\}$,
• odd numbers: $\{2k+1 : k\in\mathbb Z\}$ or $\mathbb Z \setminus 2\mathbb Z$,
• prime numbers: $\{k : k\text{ is prime}\}$ or just 'the set of primes'; sometimes a text will define something like $\mathbb P$ or $P$ to represent the primes, but this is not international convention,
• composite numbers: $\{k : k\text{ is composite}\}$ or just 'the set of composite numbers',
• cube numbers: $\{k^3 : k\in \mathbb Z\}$ or for short $\{k^3\}$ if there's a context that says it's strictly about integers.

 

[Monoxdifly]

Are there any international notations which state them as only 1 letter each?

 

[I like Serena]

Are there any international notations which state them as only 1 letter each?

Nope. There's only a couple more 1 letter sets.
$\mathbb H$ for the quaternions, $I$ for the unit interval [0,1].