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Spirit of '76 (Posted on 2004-03-14) Difficulty: 3 of 5
Can you find a 76-digit multiple of 276, written exclusively with 7s and 6s?

See The Solution Submitted by Federico Kereki    
Rating: 4.2500 (8 votes)

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HINTS, maybe | Comment 2 of 8 |
(In reply to thoughts by Charlie)

There has got to be a trick to this, I think.  The two appearances of 76 could be a clue.  Also, who said the 7s and 6s were decimal digits -- base 8 is quite possible. (Added in edit: Base 8 is not possible because the factor 2^76 would make the result have a bunch of zeros at the end.)

Edited on March 14, 2004, 2:35 pm
  Posted by Richard on 2004-03-14 12:40:41

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