Erdős Problem #947 — Distinct moduli cannot form an exact covering system

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There is no finite family of congruence classes ai(modni)a_i\pmod{n_i} with pairwise distinct moduli nin_i such that every integer belongs to exactly one of the classes.

References

Additional references

P. Erdős, Problems and results on combinatorial number theory III, Lecture Notes in Mathematics 626 (1977), 43–72.

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