Is there a formula for finding the roots of a bivariate polynomial in x and y with the form:
(a^2)xy+abx+acy+bc
Where a, b, and c are constants, of course.
So, because the series diverges we can say there are infinitely many primes, but is that because the primes exhibit some uniformity in their distribution? my calc teacher has been over divergence and convergence several times and all that divergence seems to mean is that the denominator grows...
Infinite primes proof?
Someone told me Euler proved that there are infinitely many prime numbers by proving that the sum of their reciprocals is infinite.
I have one concern. How can you prove the infinitude of primes by this method without assuming the set to be infinite in the first place.