A366789Fully multiplicative with a(p) = oddpart(primepi(p)).

1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 5, 1, 3, 1, 3, 1, …

The first 6 terms appear at position 191,909.

…687880476092599970186536111131360484481043431372673271…
position 191,909
termsstringfirst positionoccurrences
11199,997,334
211949,997,964
31111531,000,046
4111112,70099,784
51111316,7329,831
6111131191,909956
711113114,574,85292
811113111175,582,3188
9111131111207,686,7913
101111311113207,686,7911
1111113111135207,686,7911
12111131111351207,686,7911

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