Prime numbers less than 30 are
2 3 5 7 11 13 17 19 23 29
Square numbers less than 30 are 1, 4, 9, 16 and 25.
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3 is prime, 1 less than the perfect square of 4 (2x2)
No square number is a prime number, since it has the number you squared as a factor. There are several square numbers less than 100. Just calculate the squares of all numbers, starting with 1, until you reach or pass 100. Then stop.
87 is the only 2-digit number that is 6 greater and 13 less than a square, but it is not prime.
8
A beprisque number nnn is an integer which is either one more than a prime number and one less than a perfect square, or one more than a square and one less than a prime. The 5th such number is 10.