Tools to check Luhn generated numbers. The Luhn algorithm (also called modulo 10 or mod 10) is a checksum formula for numbers/digits used with credit card or administrative numbers.

Luhn Number Checksum - dCode

Tag(s) : Checksum, Algorithm, Arithmetics, Mathematics

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Tools to check Luhn generated numbers. The Luhn algorithm (also called modulo 10 or mod 10) is a checksum formula for numbers/digits used with credit card or administrative numbers.

This algorithm allows checking credit card numbers MasterCard/AMEX/Visa of IMEI codes for example by using a control key checksum. If one character is badly written, in the Luhn algorithm can detect it.

Example: 12345674 is a valid card number, 1234567 is the main original number and 4 is the checksum.

Example: If a user enter 13245674 (2 and 3 are switched), then the program calculates the checksum for 1324567 and finds 5 instead of 4 expected, the number is invalid and so has been badly typed.

The algorithm starts by the end of the number, from the last right digit to the first left digit. Realize a sum of digits by multiplying by 2 all digits of even rank. If the double is equal or superior to 10, replace it by the sum of its digits. The control digit number is equal to (10-sum%10) % 10.

Example: The number 853X, with X=0, the digit to calculate.

Take the digit 3, doubled, 3*2 = 6.

Takes the digit 5, not multiplied by 2

Take the 8, multiplies it by 2 : 8*2=16 and 1+6=7 to get 7.

Example: The sum is 6+5+7 = 18. As 18 modulo 10 = 8, one calculated (10 - 8) %10 = 2, 2 is the digit checksum control. So 8532 is valid according to Luhn.

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