List primes of the form xy+z - MATLAB Cody - MATLAB Central

Problem 60581. List primes of the form xy+z

Difficulty:
(9)
Rate
Consider three consecutive integers x, y = x+1, and z = x+2. When is the number xy+z prime? For example, if x = 3 or x = 5, then the results are 17 and 37, both prime, but if x = 7 or x = 11, the results are 65 and 145, which are composite.
Write a function to list prime numbers less than or equal to the input that can be written in the form . The function should also return the values of x (i.e., the smallest number of the triple) leading to the primes.
Optional: Prove that the number of primes of this form is infinite.
Solve

Solution Stats

64.71% Correct | 35.29% Incorrect
Last Solution submitted on Jan 13, 2025

Solution Comments

Show comments

Problem Recent Solvers9

Suggested Problems

More from this Author292

Community Treasure Hunt

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

Start Hunting!
Go to top of page