
Prime Digit Sum
Problem 845
Let $D(n)$ be the $n$-th positive integer that has the sum of its digits a prime.
For example, $D(61) = 157$ and $D(10^8) = 403539364$.
Find $D(10^{16})$.
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Let $D(n)$ be the $n$-th positive integer that has the sum of its digits a prime.
For example, $D(61) = 157$ and $D(10^8) = 403539364$.
Find $D(10^{16})$.