Name

**Common Number Sets**
Name	Symbol	Elements of Number Set
Natural (Counting) Numbers	$\mathbb{N}$	$\{1,2,3,4,5,\ldots\,\}$
Prime Numbers	$\mathbb{P}$	$\{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,\ldots\,\}$
Composite Numbers	$\mathbb{P'}$	$\{4,6,8,9,12,14,15,16,18,20,21,22,23,24,25,26,28,30,32,33,34,35,36,\ldots\,\}$
Whole Numbers	$\mathbb{W}$	$\{0,1,2,3,4,5,\ldots\,\}$
Integer Numbers	$\mathbb{Z}$	$\{0,\pm1,\pm2,\pm3,\pm4,\pm5,\ldots\}$
Rational Numbers	$\mathbb{Q}$	$\{x\mid x=\frac{p}{q},q\neq0,p\in\mathbb{Z},q\in\mathbb{Z}\}\,\,\!$
Irrational Numbers	$\mathbb{Q'}$	$\{x\mid x\in\mathbb{R}, x\notin\mathbb{Q}\}=\{\pi,e,\varphi,\sqrt{2},\sqrt{3},\sqrt{5},\sqrt{6},\sqrt{7},\sqrt{8},\sqrt{10},\sqrt{11},\ldots\}\,$
Real Numbers	$\mathbb{R}$	$\{x\mid (x\in \mathbb{Q})\cup(x\in \mathbb{Q'})\,\,\!$
Complex Numbers	$\mathbb{C}$	$\{x\mid Im(x)>0\}\,$