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