Quote:
Originally Posted by Stargate38
Given that the smallest number with a digit sum of 911 is 3*10^1011=7*17*461*42703*128060437587372995319339355138356780636701102819820530493717889157422282840645351747588735187, ...

This is completely immaterial ;) How could you possibly use this?
Quote:
Originally Posted by Stargate38
find the smallest prime with a digit sum of 911.

That's how the problem should be phrased.