Problem 60581. List primes of the form xy+z
Consider three consecutive integers x,
, and
. When is the number
prime? For example, if
or
, then the results are 17 and 37, both prime, but if
or
, 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.
Solution Stats
Solution Comments
Show commentsProblem Recent Solvers7
Suggested Problems
-
Back to basics 21 - Matrix replicating
1486 Solvers
-
Remove from a 2-D matrix all the rows that contain at least one element less than or equal to 4
134 Solvers
-
418 Solvers
-
200 Solvers
-
Create a matrix with difference of each row of input matrix
73 Solvers
More from this Author269
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!