The squares (sequence A000290 in the OEIS) smaller than 60 = 3600 are:
The difference between any perfect square and its predecessor is given by the identity n − (n − 1) = 2n − 1. Equivalently, it is possible to count … See more

Squares of even numbers are even, and are divisible by 4, since (2n) = 4n . Squares of odd numbers are odd, and are congruent to 1 See more

• Brahmagupta–Fibonacci identity – Expression of a product of sums of squares as a sum of squares
• Cubic number – Number raised to the third power
• Euler's four-square identity – Product of sums of four squares … See more

The number m is a square number if and only if one can arrange m points in a square:
The expression for the nth square number is n . This is also … See more

• If the number is of the form m5 where m represents the preceding digits, its square is n25 where n = m(m + 1) and represents digits before 25. For example, the square of 65 can be … See more

• Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, pp. 30–32, 1996. ISBN 0-387-97993-X
• Kiran … See more