Any number squared except 0 is a perfect square so it follows that prime numbers are less common than perfect squares.
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Fibonacci Sequence: 1,1,2,3,5,8,... Perfect Squares: 1,4,9,16,25,... Triangular Numbers: 1,3,6,10,15,... Prime Numbers: 2,3,5,7,11,13,17,... 2^n: 2,4,8,16,32,64,...
Numbers with exactly three factors are squares of prime numbers.
The squares of all prime numbers above 2 have exactly 3 factors.
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All numbers that are the square of primes have exactly 3 factors.