Read carefully, then post your answer.

Can you provide a simple YES or NO correct answer to the question :
Is 1010101......101 (n ones interwoven with n-1 zeroes) evenly divisible (i.e. without remainder) by 111…1(a string of n ones)?

Rem: n>1

Some numbers work.

10101=91*111

101010101=9091*11111

1010101010101=909091*1111111

It seems to only work for odd numbers of 1's.

 

Posted by Math Man on 2011-01-13 21:18:53