Not sure how to do this. i always struggle with proofs.
1 answer:
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Consider a few powers which are close to 120 and 130:
squares:
cubes:
4th powers:
now clearly there is no point of checking 5th, 6th and so on powers of numbers >2.
so check powers of 2:
So we have :
squares:
cubes:
4th powers:
now clearly there is no point of checking 5th, 6th and so on powers of numbers >2.
so check powers of 2:
So we have :