slightly OT: harmonic series revisited...

[Hans Havermann]

On Dec 13, 2005, at 12:39 PM, Michele Dondi quoted Gerry Myerson:

> I once heard someone say, the sum of the reciprocals of the known  
> primes is less than 4 - and it will always be.

I just discovered that the fourth term of A016088 was added a few  
months ago: 1801241230056600523, with a note that pi 
(1801241230056600523) remains to be determined in order to extend  
A046024. This doesn't help, but from web-published tables its  
approximation would be 4.3923 * 10^16.