What a number
Find such integers which are equidistant from there nearest perfect square or cube or power 4 or power to 5 .........
Give answer as A if there is only one such number.
Give answer as B if there are infinitely many numbers
Give answer as C if there are finitely many numbers.
Give answer as D if there are no such numbers.
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1 solution
Solution is no such number there exist.
For such number existence there should be even distance between a^n and ( a + 1 )^n
But if one of them is even other one is odd and the difference is always odd So, no such numbers exist.
Expert if you think that it should be corrected pls correct it. Thanks