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OSP SMA 2006 Bagian Kedua No 3

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Misalkan $d = \text{FPB}(7n + 5, 5n + 4)$, dimana $n$ adalah bilangan asli.

  • Buktikan bahwa untuk setiap bilangan asli $n$ berlaku $d = 1$ atau 3.
  • Buktikan bahwa $d = 3$ jika dan hanya jika $n = 3k + 1$, untuk suatu bilangan asli $k$.

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