Cody Problems 46054 and 46057 deal with the primorial p_n#, which is the product of all primes up to and including the nth prime p_n. The primorials corresponding to n = 1 through 5 are 2, 6, 30, 210, and 2310. Primorial primes are prime numbers that are either one smaller or one larger than a primorial. Examples include 3, 5, 7, 29, 31, 211, 2309, and 2311.
Write a function to identify primorial primes and their associated primorials. Given an input x, return a variable y with one of the following values:
y = 1 if x is a primorial prime
y = 0 if x is prime but not a primorial prime
y = -Inf if x is composite or 1
Also return a variable p that is the associated primorial in the first case and NaN in the other two cases.
Solve

Solution Stats

96 Solutions

36 Solvers

Last Solution submitted on May 22, 2026

Last 200 Solutions

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers36

Tumo Quan Nguyen Xuan Lorenzo

Suggested Problems

More from this Author326

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!