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Consider all integer combinations of a^b and b^a for the integer values 2 ≤ a ≤ 4 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

If they are then placed in numerical order, with any repeats removed, we get the following sequence of 14 distinct terms:

4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024

Given two values for x and y, find the unique, sorted sequence given by the values a^b and b^a for 2≤a≤x and 2≤b≤y.

44 correct solutions
63 incorrect solutions

Last solution submitted on Apr 28, 2015

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