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Topic: Sieving a rectangle
Replies: 3   Last Post: Jun 9, 2014 11:51 PM

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Daniel Joyce

Posts: 195
Registered: 1/5/14
Sieving a rectangle
Posted: Jun 9, 2014 1:05 PM
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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



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