Project Euler Problem 29
Another good problem for code golf
Problem:
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?