A prime-sided rectangle is a rectangle having sides represented by prime numbers. The figure below shows all the possible prime-sided rectangles whose areas are less than or equal to 25:
Given an area limit 'n', find the length (i.e. the longer side if sides are unequal) of the prime-sided rectangle, with the largest area less than or equal to 'n'.
In the figure above the rectangle with the maximum area is the 5x5 square. Therefore for n = 25 the output should be 5. For n = 100, the output should be 19, since 19 x 5 = 95 < 100. No other combination of prime sides will produce an area greater than 95 for area <= 100.
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The hardest part of this problem is that it's so easy to overthink it. I went crazy thinking through things last night, but it's really simple. Rather than invent an ornithopter, put on a pair of walking shoes. Diabolical!