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- 188

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let be p and q two primes so n=p.q is known and we must determine the primes p and q is so easy as solving the system

[tex] n=p.q [/tex] and [tex] \sigma _{1} (n)=1+p+q+n [/tex]

with 'sigma' the divisor function that gives us the sum of the divisors of a certain number 'n' but is really so easy?

the second question is given the congruence [tex] f(x)=0 mod(p) [/tex] and N(x) the number of solutions of the congruence above on the interval [0,x] is there a generating function (of any type) to compute N(x) ??