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Credit card number check

divyajyotiuk profile image Divyajyoti Ukirde Updated on ・2 min read

For people building an e-commerce website, a payment portal from scratch, here's some thing which you'll find useful! No plugins required!

This is the luhn algorithm or luhn formula that checks if the credit card number is valid or not. You'll find this built-in validator in almost all payment processing platforms, like Stripe, Paypal to name a few.

The Algorithm

  1. Starting from the second last digit, moving left double the value of every second digit.
  2. If the doubled result is greater than 9, subtract 9 from the doubled result
  3. Find sum all the digits
  4. Take the modulo 10 of the sum and if it equates to 0, then the number is valid according to the algorithm.

An Example

Take 79927398713 as an example, walkthrough of the algorithm is as follows:
|7|9|9|2|7|3|9|8|7|1|3|

  1. |7|18|9|4|7|6|9|16|7|2|3|
  2. |7|9|9|4|7|6|9|7|7|2|3|
  3. Sum of all digits = 70
  4. 70%10 = 0 Therefore, valid number.

Here's a javascript implementation depicting use of map and reduce. You can try in your favourite language as well!

function luhn(no){
    no = no.toString();
    arr = no.split('').map(x=>parseInt(x));
    arr.reverse();
    rArr = rArr.map(function(x,index){
    if(index%2!=0){
        if(x*2 >= 10) x = x*2 - 9;
        else x = x*2; 
        }
        return x;
    });
    sum = rArr.reduce((accu,curr)=>accu+curr);
    if(sum%10==0) return true;

    return false; 
}
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If you wish to know more about this algorithm, you can read more about this here.

Discussion (9)

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marconicolodi profile image
Marco Nicolodi • Edited

Ported to clojure

(defn valid-cc? [cc]
  (-> cc
      str
      (clojure.string/split #"")
      reverse
      (->> (map (fn [s] (Integer/parseInt s))))
      (->> (map-indexed (fn [i n] 
                          (if (not= 0 (mod i 2))
                              (if (>= (* 2 n) 10)
                                  (- (* 2 n) 9)
                                  (* 2 n))
                              n)))
           (reduce +))
      (mod 10)
      (= 0)))
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functional_js profile image
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divyajyotiuk profile image
Divyajyoti Ukirde Author

Yup, looks better! :)

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shostarsson profile image
Rémi Lavedrine

Interesting.
Nevertheless, I've heard that credit card numbers means something (first ones determine if it a mastercard or visa).
But I don't know what all the numbers mean.
Do you know this ? Or where we can find this information ?

Cheers

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divyajyotiuk profile image
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marconicolodi profile image
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tanayg2 profile image
Tanay Gandhi

Very cool! I'm fascinated, why does it work? Is it due to how credit card companies assign card numbers? How would a couple of math operations check the validity of a credit card number?

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divyajyotiuk profile image
Divyajyoti Ukirde Author

It is used to distinguish valid numbers from mistyped or rather wrong numbers. The check digit is appended to the partial number to generate valid number.