## Coin partitions

### Problem 78

Published on Friday, 10th September 2004, 06:00 pm; Solved by 10071; Difficulty rating: 30%Let p(*n*) represent the number of different ways in which *n* coins can be separated into piles. For example, five coins can be separated into piles in exactly seven different ways, so p(5)=7.

OOOOO |

OOOO O |

OOO OO |

OOO O O |

OO OO O |

OO O O O |

O O O O O |

Find the least value of *n* for which p(*n*) is divisible by one million.