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Sieving a rectangle
Posted:
Jun 9, 2014 1:05 PM


Given a rectangle with discrete prime sides where the diagonal of this rectangle is equal to sqrt(t(25)*2) where t(25) represents a triangle number.
What are the two discrete prime sides?
Spoiler.
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t(25)= 325 325*2 = 650 650  11^2 = 529 = sqrt(529) = 23
p = 11 and p2 = 23 are the two prime sides.
Is this the only case where t(n)*2  p^2 = p2^2?
Cheers,
Dan



