A355035Consider the least base b >= 2 where the sum of digits of n is a prime number; a(n) corresponds to this prime number.

2, 2, 2, 2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 3, 2, 2, …

The first 8 terms appear at position 72,923,624.

…00895365146158452985143922222322021269349762489767362768…
position 72,923,624
termsstringfirst positionoccurrences
126100,002,410
22213510,005,081
32221,735999,612
422224,90299,983
52222265,2609,953
6222223993,919955
7222223225,239,243101
82222232272,923,62410
9222223222352,613,8893
102222232223352,613,8892
1122222322232352,613,8891
12222223222323352,613,8891

Searched the first 1,000,000,000 digits. Strings longer than 12 digits are not indexed.