The perfect numbers less than 100 are 6 and 28.
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64 is the square of 8 and the cube of 4.
Integers which are the squares of integers are called perfect squares or square numbers. Perfect squares less than 101 are 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.
The only squares of perfect squares in that range are 1, 16, and 81.
The two numbers are five and eleven. 5*5=25 and 11*11=121 and 25+121=146 which is four less than 100+50 which is 150.
The perfect squares from 1 to 10000 are the numbers that result from multiplying an integer by itself. The perfect squares in this range are 1^2, 2^2, 3^2, ..., 100^2. So, the perfect squares in this range are 1, 4, 9, 16, ..., 10000.