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Sunday, December 12, 2010

[Exercise] - 3

Calculate, or otherwise determine $$\sum_{k=1}^{500}k! \mod{189}$$
Posted by at 8:38:00 PM
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2 comments:

  1. twoldMonday, December 13, 2010 at 8:21:00 PM GMT+1

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

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  2. nilo de roockMonday, December 13, 2010 at 9:01:00 PM GMT+1

    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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