English

On Z.-W. Sun's Disjoint Congruence Classes Conjecture

Number Theory 2010-03-04 v2

Abstract

Zhi-Wei Sun conjectures if k congruence classes are disjoint, then two of the moduli have greatest common divisor at least as large as k. We prove this conjecture for k strictly less than 21.

Cite

@article{arxiv.math/0604347,
  title  = {On Z.-W. Sun's Disjoint Congruence Classes Conjecture},
  author = {Kevin O'Bryant},
  journal= {arXiv preprint arXiv:math/0604347},
  year   = {2010}
}

Comments

10 pages (v2 has additional references, one open question answered in 1992)

R2 v1 2026-07-22T17:34:32.766Z