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Erdős problem 445

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Is it true that, for any c>1/2c>1/2, if pp is a sufficiently large prime then, for any n≥0n\geq 0, there exist a,b∈(n,n+pc)a,b\in(n,n+p^c) such that ab≡1(modp)ab\equiv 1\pmod{p}?

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  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal4 retained
  4. ResolutionNone filed
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
What this record is missingResolution

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Number Theory576
Erdős problem 321accepted
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