029.cpp File Reference

How many distinct terms are in the sequence generated by ab for 2 <= a <= 100 and 2 <= b <= 100? More...

#include <iostream>
#include <set>
#include <cmath>

Go to the source code of this file.

Functions
int	main ()

---

Detailed Description

How many distinct terms are in the sequence generated by ab for 2 <= a <= 100 and 2 <= b <= 100?

Consider all integer combinations of ab for 2 a 5 and 2 b 5: 22=4, 23=8, 24=16, 25=32 32=9, 33=27, 34=81, 35=243 42=16, 43=64, 44=256, 45=1024 52=25, 53=125, 54=625, 55=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 ab for 2 a 100 and 2 b 100?

Definition in file 029.cpp.