title: How many distinct terms are in the sequence generated by a^b for 2 <= a <= 100 and 2 <= b <= 100?
url: http://projecteuler.net/problem=29

desc: |
  Consider all integer combinations of a^b for 2 <= a  5 and 2 <= b <= 5:
  2^2=4, 2^3=8, 2^4=16, 2^5=32
  3^2=9, 3^3=27, 3^4=81, 3^5=243
  4^2=16, 4^3=64, 4^4=256, 4^5=1024
  5^2=25, 5^3=125, 5^4=625, 5^5=3125
  If they are then placed in numerical order, with any repeats removed, we get the following sequence of 15 distinct terms:
  4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125
  How many distinct terms are in the sequence generated by a^b for 2 <= a <= 100 and 2 <= b <= 100?
solution: Bruteforce
solutions:
  solve.php:
    desc: Basic Solution - needs BCMath
    language: php
  solve.rb:
    desc: Basic solution
    language: ruby