I believe I understand ordinals up to the large Veblen ordinal, so the fast-growing hierarchy for that, plus 2, of 9, or thereabouts, would be the largest computable integer I could program without consulting a reference or having to think too hard. There are much larger computable numbers I can program if I’m allowed to use the Internet to look up certain things.
What’s your favourite computable fast-growing function these days?
I believe I understand ordinals up to the large Veblen ordinal, so the fast-growing hierarchy for that, plus 2, of 9, or thereabouts, would be the largest computable integer I could program without consulting a reference or having to think too hard. There are much larger computable numbers I can program if I’m allowed to use the Internet to look up certain things.