24
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Always seeking to arouse curiosity in his grandson, Grandpa has another challenge for him:

Grandpa: Say, Billy, have you heard of the Event?
Billy: What event Grandpa?
Grandpa: Well, the Event comes back more or less regularly. George Washington witnessed it once, as did Napoleon, Genghis Khan and Sir Isaac Newton, but neither Leonardo da Vinci, Charles I of England, Pope Innocent III nor William Shakespeare ever did.
Billy: So it's an event one can see only once or never in its life?
Grandpa: Not at all! In fact, I witnessed it twice!
Billy: Wow, that's cool! And what about me?
Grandpa: You're only ten, so...
Billy: Ten and a half.
Grandpa: ...Ten and a half then, but it makes no difference, you're too young to have experienced the last Event. However, if you live long enough, you just might see the next one.
Billy: Aww... and what about other people from our time?
Grandpa: Tobey Maguire and Andrew Garfield lived through two Events, but Tom Holland only saw one. John Lennon witnessed no Event at all, while Norman Chapman saw one and Paul McCartney two.
Billy: Did someone ever saw more than two?
Grandpa: Absolutely! Take Charlemagne for example: he witnessed no less than six Events, and probably seven!
Billy: Wow! And who saw the most?
Grandpa: Well, probably an anonymous nobody living a long time ago. But among the personalities we know of, let's see... hum, I'd say maybe the roman emperor Galba, who should have lived through fifteen of them! Maybe someone got up to 16, 17 or even 18 - and at that point 19 is not a lot less believable than 18 - but I seriously doubt someone lived 20 of them, or more.
Billy: OK Grandpa, but I still have no idea what this event of yours is.
Grandpa: Then let's ask your friends at stackexchange, maybe they'll find out ;).

What is the Event, and how many did you personnally witness? (Anyone saying more than 2 is a liar)

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1 Answer 1

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I think the answer may be

Palindromic years for all years Anno Domini, where a palindromic year is a year such that the digits of the year form a palindrome.

because

Palindromic years occur once a century if the year is yyyy (4 digits), so one born in yyyy may experience a palindromic year at most twice. However, if the year is yyy, yy or y, the number of palindromic years observable in a century increases. For example, Galba was born 3 BC and died in 69 AD, so experienced the palindromic years 3, 2, 1, +1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, i.e., 15 palindromic years (AD). A similar argument can be applied to the rest of the characters featured in the story.

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    $\begingroup$ Welcome to the site! That is the good answer, well done ;) $\endgroup$
    – Keelhaul
    Jan 4 at 8:14
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    $\begingroup$ Of course Galba, or anyone else from that time would not have realised they lived through 15 of them, as things were different then. $\endgroup$ Jan 4 at 10:12
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    $\begingroup$ The two events that the grandfather saw are 1991 and 2002, right? Next one is in 2112 and things look pretty grim for us. $\endgroup$ Jan 4 at 11:12
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    $\begingroup$ Shammai lived through 24 of them by my count (-44 -> 22) $\endgroup$
    – Chris
    Jan 4 at 16:04
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    $\begingroup$ @Jim The early AD dates weren't AD at the time, either. So Galba only would have lived through 757, 767, 777, 787, 797, 808, and 818 AUC, or just seven 'Events.' The Anno Domini system wasn't devised until the year AD 525 (itself an 'Event'ful year). $\endgroup$ Jan 4 at 22:28

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