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  • Luhn algorithm
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  • Luhn Number Checksum

    Numbers generated by Luhn Algorithm

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    Number with Missing Digits

    Answers to Questions (FAQ)

    What is the Luhn Algorithm?

    (Definition)

    's algorithm (or 's formula or 's key) is a verification algorithm used to validate various numbers (such as credit cards).

    Its principle is to calculate, from a number (or a sequence of numbers), a control key (called checksum) which makes it possible to verify that the number is correct (because the key is a number which is dependent on the others) .

    Invented by Hans Peter in 1954 and remains widely used in data processing systems.

    What is the Luhn Algorithm for?

    makes it possible to check numbers (credit card, gift card, IMEI, etc.) thanks to its control key (a digit which makes it possible to check the others digits).

    If a character is misread or badly written, then 's algorithm will detect this error.

    is known because MasterCard, American Express (AMEX), Visa and all credit cards use it.

    Example: is a valid card number, is the initial number and is the checksum.

    's algorithm c

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