On Sat, Nov 01, 2003 at 06:13:52PM -0500,

chasag@... wrote:

> Ther must be very very large numbers just on the verge of infinity, After

> that there must be a prime gap reaching to infinity. Thus there is a finite

> number of primes. After all if one can imagine infinity, one can imagine

> the verge of infinity.

You speak of infinity like it is some sort of black hole, with an event

horizon, beyond which all integers get 'sucked in' to being infinite.

This is not true. Infinity is a convenient concept, used when discussing

quantities which increase without bound. Euclid's tiny little proof

shows that the number of primes has no bound, and is therefore not

finite.

Andy