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May14-09, 10:59 PM   #1
 

Density of primes between square numbers


Is the density of primes considerably greater nearer the geometric average of two consecutive square numbers?

[Think of deconstructing a square of integral area n2 into composite rectangles of diverging (n-1)(n+1), (n-2)(n+2), (n-3)(n+3)... .]

This reasoning may work to a lesser yet significant degree with powers greater than two.
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