Not that I have a thing about British Gas all of a sudden, but I was just paying my gas and electric bills on house.co.uk, their cranky, temperamental, slow web site. It gave me the usual dropdowns for card start and expiry dates.
But both have ranges 1900 to 2999. See the screenshot!
Yes, of course you can also select a start date in the future and an expiry date in the past.
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