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Aug 27 at 10:22 vote accept Ali Taghavi
Sep 24, 2019 at 18:48 history edited Bjørn Kjos-Hanssen CC BY-SA 4.0
added 9 characters in body
Sep 24, 2019 at 18:47 comment added Aleksei Kulikov @SylvainJULIEN I guess I wrote it in my comment -- you don't need anything, there are at most $n^9$ sets of $n$ digits and the number of primes is $\sim 10^n/n$ which is much larger.
Sep 24, 2019 at 18:41 comment added Sylvain JULIEN Can Maynard's work about primes with missing digits be of any use to show a similar result for base ten?
Sep 24, 2019 at 18:30 comment added Bjørn Kjos-Hanssen @AlekseiKulikov you are right... fixed now
Sep 24, 2019 at 18:28 history edited Bjørn Kjos-Hanssen CC BY-SA 4.0
deleted 130 characters in body
Sep 24, 2019 at 18:12 comment added Aleksei Kulikov Sorry, what you did in the second step? Most numbers are not primes as well so it may well be that for primes their digit sums are always very small. In any case you don't need anything like this because there are at most $n$ digit sums and the muber of primes is much, much more (asymptotically $2^n/n$) and this actually works for any base -- there are at most $n^{b-1}$ different sets of digits.
Sep 24, 2019 at 14:18 history answered Bjørn Kjos-Hanssen CC BY-SA 4.0