The Pythagorean awesomeness of this is actually deeply horrific.
The Derbyshire challenge:
… find anything interesting to say about the number 2017.
Yes, it’s a prime, the 306th. (The 2,017th prime, which I know you’re now wondering about, is 17,539. The last prime year was 2011; the next is 2027; the gaps there, average size 8, are what you’d expect, since log (2017) = 7.60936653795.)
Find something else.
(Production disaster reports imminent.)
(The Iron Law of Six is behind this, indubitably.)
It gets better the closer you look at it.
There are thirty-one digits (and, of course, it’s a palindromic prime).
(More here, with additional links, here, and at Wikipedia here.)
Knowing the prime-index (stack) is the key to exploring it qabbalistically, and I haven’t seen that mentioned yet.
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In some parallel universe, you have actually solved this puzzle. pic.twitter.com/I1EKjRJ4px
— Cliff Pickover (@pickover) September 4, 2016
Decimal self-reference made compactly puzzling.