Can you find a 76-digit multiple of 2⁷⁶, written exclusively with 7s and 6s?

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 2^{76 *} 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