# Solution: 2015-15 A sequence periodic modulo m for all m

Does there exist an infinite sequence such that (i) every integer appears infinitely many times and (ii) the sequence is periodic modulo $$m$$ for every positive integer $$m$$?

The best solution was submitted by Park, Sunghyuk (박성혁, 수리과학과 2014학번). Congratulations!

Here is his solution of problem 2015-15.

Alternative solutions were submitted by 이종원 (수리과학과 2014학번, +3), 신준형 (2015학번, +3), 최인혁 (2015학번, +2), 이영민 (수리과학과 2012학번, +2), 장기정 (수리과학과 2014학번, +2).

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