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Sunday, December 12, 2010

[Exercise] - 3

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


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

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


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