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Sunday, December 12, 2010

[Exercise] - 3

Calculate, or otherwise determine $$\sum_{k=1}^{500}k! \mod{189}$$

2 comments:

  1. $$k! \equiv 0 (\mod 189)$$ for each $k \geq 9$. The rest is simple summation giving 117.

    ReplyDelete
  2. Thank you for the interest. You might like the Coconuts exercise ( if you haven't already come across it in the past ).

    ReplyDelete

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(Raumpatrouille – Die phantastischen Abenteuer des Raumschiffes Orion, colloquially aka Raumpatrouille Orion was the first German science fiction television series. Its seven episodes were broadcast by ARD beginning September 17, 1966. The series has since acquired cult status in Germany. Broadcast six years before Star Trek first aired in West Germany (in 1972), it became a huge success.)