Problem 47843. Compute the arithmetic derivative of integers

• Created by ChrisR
• Appears in Prime Numbers II

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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.

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Solution Stats

43.28% Correct | 56.72% Incorrect

• 67 Solutions
• 25 Solvers

Last Solution submitted on Sep 13, 2024

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