Da Vinci Code found in first run Polymer £5 note. Can you work out the probability?

Press Release : May 24, 2018
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In life approximating art, a first run £5 polymer note containing a Turing-type mathematical conundrum has been discovered. Posted on eBay today, the seller, who is giving 10% of the ultimate bid to charity, appears thoroughly baffled by the series of figures contained in what he (or she) clearly believes to be the note containing the DaVinci code. Is this, by dint of the mind-bending figures, he muses online, the most rare and unique £5 note on earth? Or are there other notes floating around out with numbers containing cross references and self references that approach an equally infinitesimal probability? Were Einstein, Newton, Hawking, or indeed Turing around today, perhaps they could drum up some sort of plausible answer.

Said the seller, who at this stage wishes to remain anonymous: ‘While most collectors are rushing about trying to lay their mitts on crass numbers such as AK47 and 007 due to their obvious mainstream connotations, here is a note that throws up a whole raft of questions pertaining to the symmetry of letters and numbers. That they should end up on this note is like something out of Dan Brown’s DaVinci Code. To think, I was just about to spend it on a cup of coffee and a biscuit. But when I saw the numbers, they leapt out at me like something from the Matrix, and I slipped it back into my wallet and went thirsty and peckish for an hour.’

For anyone who wishes to have their curiosity satisfied, here is the original post as it appears on eBay:

‘A circulated Polymer £5 note off the very first run, with the unusually symmetrical number code AA44 232399. The letter A twice repeated, the number 2 twice repeated, the number 3 twice repeated, and the number 9 twice repeated. In trying to work out the probability of this figurative occurrence, my calculator went into meltdown, as did I, one who considered himself to have a vaguely mathematical brain. Also, 4 is perfectly divisible by 2 (2 x 2 being 4), and 9 perfectly divisible by 3 (3 x 3 being 9). Then, if you take A as 1 (the first letter of the alphabet), you have the first true three square roots of the numeric system: 1 (1 x 1 = 1); 2 (2 x 2 = 4); and 3 (3 x 3 = 9), all of which exclusively end up on this £5 note. Is this note more unique than any other? My guess is yes. But I’m no Einstein, Hawking, or Newton. So, if any budding mathematician can calculate the probability of such a wonderfully balanced series of letters and numbers ending up printed on a single polymer £5 note, I would love to hear from them. And please, share this with as many people as you can to see if we can find that probability figure. I think it’s fascinating. Oh, and happy bidding! May the best numismatist win. 10% of all proceeds from this sale will go to charity.

To view the actual post, visit this link: https://bit.ly/2J0jfrP

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