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Splitting [p] into blocks with equal sum

Source: St Petersburg 2021 11.1

December 23, 2021
number theoryprime numbers

Problem Statement

Let pp be a prime number. All natural numbers from 11 to pp are written in a row in ascending order. Find all pp such that this sequence can be split into several blocks of consecutive numbers, such that every block has the same sum.
A. Khrabov
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