This is interesting because we don't even know if there are infinitely many twin primes or not. If it could be proved that Brun's constant was irrational, it would also prove that the Twin Primes Conjecture was true.
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Crazy that we know it converges
@3blue1brown and@Mathologer - I would love a video on this!
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A flaw caused by trusting a text book, on structure of hardware design of binary division, rather than comprehensive verification. Recognise the risk of duplicating error when you rely on 'appeal to authority", consider the option of testing the 'fact' Fact checking can pay.
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Today is the first time I hear of this man, Thomas Nicely, only to learn that he "died Wednesday, September 11, 2019, as a result of injuries sustained in a recent car accident".https://www.lynchburg.edu/news/2019/09/remembering-dr-thomas-nicely-legendary-teacher-who-discovered-pentium-bug/ …
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Brun's theorem expresses the scarcity of twin primes, even if there are infinitely many of them. Divergence of the sum of the reciprocals of the primes was proved by Euler in 1737.pic.twitter.com/j6PWJyBqo7
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Isn't the theorem obvious by the fact that series 1/p converge, so any subseries converge?
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That’s nothing! When Lay’s tried to market its special Vodka-flavored chips, all had to be recalled due to the extremely soggy product. And none of them could be used to calculate anything. It’s developer went on to create New Coke.
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I don't quite understand the sum
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twin primes are those pairs of prime numbers with difference of exactly two.
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I computed the constant in 2002 up to 10^16 The work was distributed on a farm of workstations All chuncks were computed 2 times on different nodes If different, validate on third node Some nodes had a high failure rate meanwhile passing all factory tests Still the current recordpic.twitter.com/xudZXpTJdo
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