A number is a perfect square, or a square number, if it is the square of a positive integer.
For example,
is a square number because
; it is also an odd square.
The first 5 square numbers are: 1,4,9,16,25
, and the sum of the odd squares is: 1+9+25 =35
.
Among the first 565 thousand square numbers, what is the sum of all the odd squares?
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