Problem 47843. Compute the arithmetic derivative of integers
The Lagarias arithmetic derivative
is defined for integers such that the derivative of a prime number is 1:
. It also satisfies the Leibniz formula, which resembles the product rule of calculus:
For example, the arithmetic derivative of 15 is
. The Leibniz formula also implies that
.
Write a function to compute the arithmetic derivative of a natural number.
Solution Stats
Solution Comments
Show commentsProblem Recent Solvers25
Suggested Problems
-
1358 Solvers
-
307 Solvers
-
How long do each of the stages of the rocket take to burn?
345 Solvers
-
472 Solvers
-
Find out the Gray Code for a Given Binary Number
106 Solvers
More from this Author300
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!