Question 33
You are given a sequence of $58$ terms; each term has the form $P+n$ where $P$ stands for the product $2\cdot3\cdot5\cdots61$ of all prime numbers less than or equal to $61,$ and $n$ takes, successively, the values $2,$ $3,$ $4,$ $\ldots,$ $59.$ Let $N$ be the number of primes appearing in this sequence. Then $N$ is: