are there infinitely more prime numbers than composite numbers?

this is a cool question, presented in my 11am honors class by A & B.

my two cents here.

in the spirit of problematization, i countered "perhaps." are you an idealist or a realist in mathematics? 

the idealist relies on aprioristic deductions, the realist goes empirical, she counts ("she" is a computer algorithm). so, i took a realist short cut.  something very interesting happens to primes --between 10⁶ and 10⁸, which allows for siding in favor of composite numbers' greater infinite-density.