Problem 46060. Identify primorial primes

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

43.9% Correct | 56.1% Incorrect
Last Solution submitted on Sep 30, 2025

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers18

Suggested Problems

More from this Author312

Community Treasure Hunt

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

Start Hunting!