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## Main Question or Discussion Point

i have discovered a formula for [tex]\pi(x^{a})[/tex] being Pi the prime number counting function in terms of a triple integral....but you wll say..this is already made what is this good for?..in fact if you knew [tex]\pi(x^{a})[/tex] with a total error O(x^d) by setting a=Ad and making A--->oo (infinite) the total error would be e=1/A O(x^e) with e the smallest positive number,or expanding in e powers to lineal order x^{e}=1+eln(x), so i have discovered a formula with the smallest possible error term...and this is completely new...:)