Depending how and whether you count academia, Donald Knuth may have a slightly longer career: https://en.wikipedia.org/wiki/Donald_Knuth
Feels like a decent chance you're third, then. Certainly you're one of the longest-working programmers. Best of luck. :)
And I think I'd classify Knuth as the slightly different "longest working computer scientist". He's known for his quote "Beware of bugs in the above code; I have only proved it correct, not tried it."
Or perhaps I'd classify him as the somewhat more sycophantic "longest working genius" or "longest working cool guy". Heck, Knuth was uniquely awarded a master's degree for his bachelor's because his work was considered so outstanding, he's an organist and composer, and he's hilarious. I love this quote about him: "If you had an optimization function that was in some way a combination of warmth and depth, Don would be it."
Having said that no matter what role it's good to code everyday.
Funny that there’s an error in that sentence.