# Compositorial

The compositorial of a number n equals the product of composite numbers^{} less than or equal to n. For example, the compositorial of 6 is 24 since the composite numbers less than or equal to 6 are 4 and 6 and 4 * 6 = 24. Similarly the distinct compositorial numbers are 1, 4, 24, 192, 1728, 17280, 207360 and so on (Sequence A036991 of OEIS).

The numbers whose compositorial minus 1 is a prime number^{} are 1, 2, 3 , 4, 5, 8, 14, 20, 26 … (Sequence A140294 of OEIS). The numbers whose compositorial plus 1 is a prime number are 4, 5, 6, 7, 8, 16, 17, 21, 24 … (Sequence 140293 of OEIS).

Title | Compositorial |
---|---|

Canonical name | Compositorial |

Date of creation | 2013-03-22 19:20:40 |

Last modified on | 2013-03-22 19:20:40 |

Owner | Kausthub (26471) |

Last modified by | Kausthub (26471) |

Numerical id | 4 |

Author | Kausthub (26471) |

Entry type | Definition |

Classification | msc 11A41 |