# Remainder Multiples of 1997

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

|Contact| |Front page| |Contents| |Up|

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},

|Contact| |Front page| |Contents| |Up|

Copyright © 1996-2018 Alexander Bogomolny68936959