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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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Some Thoughts maybe? | Comment 5 of 8 |

If you multiply by 7*576, you'll get 7*1076.

If you add 276 * 3*575, you'll get 7.6*1076.

If you add 276 * 4*574, you'll get 7.76*1076

If we continue in this fashion and find some kind of pattern, we may be able to find a solution.

Edit: I've realized since that 1076 is a 77 digit number

Edited on March 14, 2004, 10:33 pm
  Posted by Tristan on 2004-03-14 13:51:27

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