Problem 52664. List the Moran numbers

Created by ChrisR

Solve Later

The quotient of a Moran number and its digit sum is prime. For example, 117 and 481 are Moran numbers because 117/(1+1+7) is 13 and 481/(4+8+1) = 37, and both 13 and 37 are prime. 
Write a function to list the Moran numbers less than or equal to the input number. 

Solve

Solution Stats

79 Solutions
22 Solvers

Last Solution submitted on Dec 15, 2025

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

GeeTwo on 1 Dec 2024

@Tim, thanks for the idea of using ismember(). It greatly simplified my already simplest solution to date. All I did before was squeeze a literal implementation and make it work just fast enough to fit the one-minute filter..Your inspiration took me from four statements to two.

ty on 3 Jun 2025

I believe I have the right solution but it is not fast enough, can anyone advise me on how to get the digit sum without using a for loop?

Solution Comments

Show comments

Problem Recent Solvers22

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 52664. List the Moran numbers

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers22

Suggested Problems

More from this Author321

Problem Tags

Community Treasure Hunt

Problem 52664. List the Moran numbers

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers22

Suggested Problems

More from this Author321

Problem Tags

Community Treasure Hunt

Players