Question

Why is prime finding polynomial but integer factoring?

Answer 1

Answer:

Why is prime finding polynomial but integer factoring?

*❜ In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers. If these integers are further restricted to prime numbers, the process is called prime factorization. ... Not all numbers of a given length are equally hard to factor.

This is still an open problem, so no one knows if it can be done in polynomial time in the worst case. However, it is very likely that integer factorization is strongly polynomial. ... It can be done in linear time, so that there is no increase in time complexity associated with integer size.*❜