Section:
A. Introduction

B. Comparison Table

C. The Radical Narcs

D. Numbers that pwn
2-digit
3-digit
4-digit ... < 2000
4-digit ... < 4000
E. Code / Algorithm

Pretty Wild Narcissistic Numbers
– numbers that pwn

Dr Colin Rose
Defn: A pretty wild narcissistic number is:

... an integer n that can be expressed using just the digits of n (each digit used once only and in order from left to right) and the operators +  –  ×  ÷  ^  √  !

Such numbers are said to pwn (pronounced: own). I allow for non-trivial concatenation of digits (e.g. 360 = 3! × 60), though such cases are quite rare.


The 2-digit numbers that pwn
24     =     (2 Sqrt[4])! ,       ,       (2 + Sqrt[4])!

36     =     3! 6           (a square triangular number)

71     =     Sqrt[7! + 1]       (this num really pwns – 'tis also prime and a Brown number)