Problem 78Published on Friday, 10th September 2004, 06:00 pm; Solved by 9861; 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.
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Find the least value of n for which p(n) is divisible by one million.