the square of a natural number (other than 1) is either a multiple of 4 or exceeds
multiple of by
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Property 5: On Squaring of a natural number other than one the multiple will either be a multiple of 4 or exceeds a multiple of 4 by 1. Example: 67,146,10003 are not perfect squares because they leave the remainder 3,2,3 respectively when divided by 4.
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