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...:)(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Prime number counting function with error O(x^e)

Loading...

Similar Threads - Prime number counting | Date |
---|---|

A Equation with three consecutive prime numbers | Apr 11, 2016 |

Largest Prime Number | Feb 6, 2013 |

OBSERVATION: The #31, The Golden Scale, Prime Counting Function & Partition Numbers | Feb 4, 2011 |

Prime Number Counting | Dec 24, 2009 |

Integral equation of second kind and prime number counting function | Jun 21, 2004 |

**Physics Forums - The Fusion of Science and Community**