# Remainder Multiples of 1997

Given any 1000 integers, some two of them differ by, or sum to, a multiple of 1997.

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Copyright © 1996-2018 Alexander Bogomolny
Given any 1000 integers, some two of them differ by, or sum to, a multiple of 1997.

Form the 999 sets of remainders modulo 1997, {0},

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Copyright © 1996-2018 Alexander Bogomolny71428037