FA-72360 / Check-digit algorithms / Member archive

Luhn gate admits a lone check digit · case 05

A single "0" is accepted as a valid account number.

Member previewVariant 5 · 3 implementations · 8 checks per implementation

Case contract

Input a card-style number that may contain spaces or hyphens as group separators. After removing them the text must be 2..19 ASCII digits, otherwise "malformed". Doubling applies to every second digit counting from the rightmost (check) digit, doubled values above 9 lose 9, and the number is "valid" when the sum is a multiple of 10, else "invalid".

Why this case matters

Payment-card, loyalty and account numbers are screened with the Luhn mod-10 check before any lookup.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression ["0"]	`"valid"`	`"malformed"`	Failed

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