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PUZZLET 187

UniDigits Embedded In Factorials

The Factorial 22 (that is, 22! in normal short-hand) is 1124000727777607680000. Embedded in there are the digits 7777 at the digit positions 10 through 13.

Factorial

Find all those factorials less than 200 digits long which contain any four equal digits consecutively like the example given above, anywhere within the factorial. Note that trailing zeroes are excluded!


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Last Updated: January 17th, 2010.