>>> i have figured out that most numbers with all 1s for digits 
>>> are prime with this one exception if the number has 3 6 9 12 
>>> 15 and all other numbers that have 3 as a factor   for the 
>>> amount if digits in the number. There for 10 million 1s would 
>>> be prime.
> Chris Caldwell wrote:
>> Very very few numbers with all ones are prime.  Why
>> not test your theory with the numbers with from one to thirty
>> ones which are trivial to factor?
>>
>> Heck, just factor this one:  1111 and put and end to
>> your "all prime" theory.
> 
> note they didn't specify which base this is in.   'all 1s' in binary 
> describes all mersenne numbers, of which we well know most aren't
prime.

Actually he did (well, at least he specified that 3 divides the
base minus one, so it could be 4, 7, 10, ...; but not binary).
  
My example will factor in any base, which puts an end to his
All the rest are prime theory no matter what the base is.

CC  
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