In fact:

111 = 3 * 37
1111 = 11 * 101
11111 = 41 * 271
111111 = 3 * 7 * 11 * 13 * 37
1111111 = 239 * 4649
11111111 = 11 * 73 * 101 * 137
111111111 = 3 * 3 * 37 * 333667
1111111111 = 11 * 41 * 271 * 9091


so by these examples I'd theorize that NONE of these numbers will be
prime. (But I'd be wrong too.)

The first prime you find after 11 this way is 19  ones.

If you have 10 million ones that would be a multiple of 11 just like any
other even number of ones and so it could not be prime.

Molly Dixon wrote:
> 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.
>
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>       
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