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Instead of 47x63, you multiple 50 x 60. 3000, right?

I thought you were then going to say, 50 x 60 is 5 steps away from a perfect square, 55 x 55. For every step away, you have to subtract a consecutive square, so 50 x 60 must be 1....4....9....16....25 less than 55 x 55, so 55 x 55 must have been 3025. Now go three more steps down from 50 x 60 (49 x 61....48 x 62....47 x 63), so we will now need to subtract: 36....49....64. The answer we're looking for is 3025 minus 64, so it's 2961.

Only works for numbers that are pretty close together, and this simple version needs the numbers to be an even number apart, but it works here. Equally useless for impressing girls.

Regards, DTM
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