Importance: High ✭✭✭ |

Author(s): |

Subject: | Number Theory |

» Analytic Number Theory |

Keywords: | constant |

Euler | |

irrational | |

Mascheroni | |

rational | |

transcendental |

Recomm. for undergrads: no |

Posted | by: | Juggernaut |

on: | July 19th, 2011 |

Let . The number has not been proved algebraic or transcendental. In fact, it is not even known whether is irrational.

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## Euler-Masqueroni contant

If n = 2^k then log(n) is irrational. But Sum{1/k} is ever rational . Then Sum{1/k} - Log(n) is ever irrational.. Ludovicus