Not at all Amos. 35/11 is 3.18182, which is 1.3% out, compared to 22/7's 0.04% (4 parts in 10000). 355/113 is out by 85 parts in a billion.

The first integer, of which the binary equivalent of the number spelt out in English does not occur in the first 4 billion binary places of pi, is ..... 13! Spooky or what?