### Abstract

We show that the sequence of integers which have nearly the typical number of distinct prime factors forms a Poisson process. More precisely, for δ arbitrarily small and positive, the nearest neighbor spacings between integers n with |ω(n)-loglogn| < (loglogn)^{δ} obey the Poisson distribution law.

Original language | English |
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Pages (from-to) | 102-117 |

Number of pages | 16 |

Journal | Canadian Mathematical Bulletin |

Volume | 53 |

Issue number | 1 |

DOIs | |

Publication status | Published - Mar 2010 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)