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Big number problem

February 20 2012 at 7:30 PM
lawgin  (no login)

 

This is problem #29 on the Project Euler website. I found it very difficult to solve using qb. Maybe I missed an easier way. Anyone care to try?


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?

 
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