What is the Luhn Algorithm?

The Luhn algorithm, also known as the Luhn formula, is a simple checksum formula used to validate a variety of identification numbers, most notably credit card numbers.

How to Perform a Luhn Algorithm Test

Here's a step-by-step guide to testing the validity of a credit card number using the Luhn algorithm:

  1. Start from the rightmost digit of the number and double every second digit from the right (i.e., the second-to-last digit, the fourth-to-last digit, and so on).
  2. If doubling of a number results in a two-digit number, add up the digits to get a single digit number.
  3. Sum all the digits.
  4. If the total modulo 10 is equal to 0, then the number is valid according to the Luhn formula; otherwise, it is not valid.

Why is the Luhn Algorithm Important?

The Luhn algorithm is crucial for ensuring the accuracy and security of credit card transactions. It helps prevent errors and fraud by verifying the integrity of the card number.

Common Applications of the Luhn Algorithm

The Luhn algorithm is widely used in various industries, including:

  • Credit card processing
  • Bank account numbers
  • Driver's license numbers
  • Insurance policy numbers