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, 2003

Number theory Difficulty 3.0 AMC 10/12 Prove it Canada

Show that the sum of the squares of any 5 consecutive integers is divisible by 5.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.