What is the next number in this (almost certainly infinite) number sequence?
$23, 2, 1, 11, 37, 4, 7, 15, 8, 66, 48, 31, 202, 84, 49, 173, 23, 42, 167, 69, 147, 97, ?$
Daily hint #1:
Contrary to what one might think, this sequence wasn’t invented in Philadelphia, but on a small island group off the coast of... Aw phuket, I’m not going to just tell you that, now am I?
Daily hint #2:
To get to the island group, you can take a Boeing B-29 Superfortress, if you can find one that still flies. (They didn't make make those planes in Greece, though.)
Daily hint #3:
Now, if you have figured out the other clues, actually finding the answer should be easy as duck soup. No, I meant it's easy as falling off a log. Actually, not that, either. Easy as pie? No! That doesn't enter the picture at all! Easy as A,B,C? ..Doesn't feel exactly right either. But it's really very easy.
April Fools' Extra Bonus Easter Egg clue:
If you don't yet know, where you should be searching, here's another clue: If you start with five, halve it, write the result in Greek and double it, you are already there. (To find your way back to 5 when you are done, you can take one away and square up what's left.)
Final Hint, a glimpse into the future:
Here's what the sequence looks like later on. The first 90 numbers in the sequence have been omitted in order to show a point of interest:
$... 22, 71, 333, 82, 103, 16, 8, 190, 12, 1446, 1575, 828, 1036, 671, 66, 449, 4119, 1772, 2423, 769...$
(This hint is final only in the sense that I'll post the next hint when anyone asks for one.)
Daily Hint #(Final+1):
If you are feeling a bit irrational about the place where you are searching, don't worry, it's probably quite normal, and anyway, what you want to find are the most natural thing in all mathematics. Just remember to write down where you found each of them, and all will be well.