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Omni-MATH / Let n be a positive integer and p a fixed prime. We have a deck of n cards, numbered 1, 2,…, n and p boxes for put the cards on them. Determine all posible integers n for which is …

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problem

Let nn be a positive integer and pp a fixed prime. We have a deck of nn cards, numbered 1,2,…,n1,\ 2,\ldots,\ n and pp boxes for put the cards on them. Determine all posible integers nn for which is possible to distribute the cards in the boxes in such a way the sum of the numbers of the cards in each box is the same.
Plain-text mathematical notation (without MathML)
Let n be a positive integer and p a fixed prime. We have a deck of n cards, numbered 1, 2,…, n and p boxes for put the cards on them. Determine all posible integers n for which is possible to distribute the cards in the boxes in such a way the sum of the numbers of the cards in each box is the same.
Original LaTeX notation
Let $n$ be a positive integer and $p$ a fixed prime. We have a deck of $n$ cards, numbered $1,\ 2,\ldots,\ n$ and $p$ boxes for put the cards on them. Determine all posible integers $n$ for which is possible to distribute the cards in the boxes in such a way the sum of the numbers of the cards in each box is the same.

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Source and history

task_id
46ce7db3-a585-586c-b917-002632c456c1
task_key
test--46ce7db3-a585-586c-b917-002632c456c1
task_revision_id
1
config / split
/ test

Official source

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