A000040The prime numbers.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, …

The first 5 terms appear at position 366,753.

…931455401579997525759706235711965092077965351455828496…
position 366,753
termsstringfirst positionoccurrences
126100,002,410
2231610,000,834
3235698999,505
4235715,070100,056
5235711366,7531,003
6235711138,157,77712
72357111317not within 1,000,000,0000
8235711131719not within 1,000,000,0000

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