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HMMT 2024 A6

  • Algebra and Number Theory
  • Answer

Compute the sum of all positive integers nn such that 50≤n≤10050 \leq n \leq 100 and 2n+32 n+3 does not divide 2n!−12^{n!}-1.

Dataset text NuminaMath olympiads. Quoted with source.

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