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Erdős problem 275

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If a finite system of rr congruences {ai(modni):1≤i≤r}\{ a_i\pmod{n_i} : 1\leq i\leq r\} (the nin_i are not necessarily distinct) covers 2r2^r consecutive integers then it covers all integers.

Erdős Problems records this as proved (Lean).

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  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal1 retained
  4. Resolutionproved (Lean)
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
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Where the source files it579 share a topic
Number Theory576Covering Systems22
Erdős problem 321accepted
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