A number theory problem by mostafa hubble
Number Theory
Level
3
what is the number of positive integers n such as:
[(n^2)/3]=prime number
remember [x] is integer part of x.
The answer is 2.
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1 solution
the only two possibilities are n = 3 ; n = 2 . if you do other values of n you will get composite numbers but sorry i cannot give a clear explanation i simply guessed i'll tell after refering some books . . . . .