Euler was aware of the connection between the zeta function
and the sequence of prime numbers 2, 3, 5, 7,...
To see this notices that
so that
and similarly +...
Continuing indefinitely we have
so that
Euler was aware of the connection between the zeta function
and the sequence of prime numbers 2, 3, 5, 7,...
To see this notices that
so that
and similarly +...
Continuing indefinitely we have
so that