Distribution of twin primes

[Eric W. Weisstein]

On Fri, 23 Jan 2004 f.firoozbakht at sci.ui.ac.ir wrote:

> Dear seqfans,
> 
> I have worked with Mathematica since 13 years ago.
> I had faced with such a problem whenever the procedure got near to a 
> ten-digit prime.
> The procedure used to generated negative numbers and got returned.
> This strange prime is p=2147483647.
> p always makes trouble for the procedures using Mathematica.
> This is common to all kind of investigations that I made on numbers.
> 
> For example you can try the following simple procedure:
> 
> In[13]:=
> Table[n, {n, 2147483647 - 3, 2147483647 + 3}]
> 
> Out[13]=
> {2147483644, 2147483645, 2147483646, 2147483647, -2147483648
> , -2147483647, -2147483646}
> 
> I guess this is related to either:
> 
> 1. A bug in Mathematica this strange prime.
> 2. A strange property of this prime. 
> 
> I am looking forward to hearing any idea or comment in this regards.

Mathematica v4.0 was released nearly 5 years ago.  The above works as
expected in every version since.

Cheers,
-E