Yes. Luhn checksum detects adjacent digit transposition errors, which I'd tend to believe are the most common, and it will detect a single wrong digit, which might be most or second most common. It's a simple check, although all the example code I've seen is grotesque.
The lesson here is that when you're dealing with those pirates that do the "Rachel from Account Services" scam cold calling, transpose two digits seperated by another digit. Don't monkey with the first 7 digits or the final digit. You can get those idiots to go all the way through verifying your (incorrect) card number, as the BIN/IIN is correct and Luhn check passes. Waste some time on double checking your card number before spewing vitriol and profanity on them.
The lesson here is that when you're dealing with those pirates that do the "Rachel from Account Services" scam cold calling, transpose two digits seperated by another digit. Don't monkey with the first 7 digits or the final digit. You can get those idiots to go all the way through verifying your (incorrect) card number, as the BIN/IIN is correct and Luhn check passes. Waste some time on double checking your card number before spewing vitriol and profanity on them.