Project Euler — Problem 30 Solution

Problem

Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:

1634 = 14 + 64 + 34 + 44

8208 = 84 + 24 + 04 + 84

Project Euler — Problem 24 Solution

Problem

A permutation is an ordered arrangement of objects. For example, 3124 is one possible permutation of the digits 1, 2, 3 and 4. If all of the permutations are listed numerically or alphabetically, we call it lexicographic order…

Project Euler — Problem 29 Solution

Problem

Consider all integer combinations of ab for $latex 2 \leq a \leq 5 $ and $latex 2 \leq b \leq 5$:

22=4, 23=8, 24=16, 25=32

32=9, 33=27, 34=81, 35=243

Project Euler — Problem 36 Solution

Problem

The decimal number, 585 = 10010010012 (binary), is palindromic in both bases.

Find the sum of all numbers, less than one million, which are palindromic in base 10 and base 2.

Project Euler — Problem 34 Solution

Problem

145 is a curious number, as 1! + 4! + 5! = 1 + 24 + 120 = 145.

Find the sum of all numbers which are equal to the sum of the factorial of their digits.

Note: as 1! = 1 and 2! =…

Project Euler — Problem 32 Solution

Problem

We shall say that an n-digit number is pandigital if it makes use of all the digits 1 to n exactly once; for example, the 5-digit number, 15234, is 1 through 5 pandigital.

The product 7254 is unusual, as…