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fermatslibrary's profile
Fermat's Library
Fermat's Library
Fermat's Library
@fermatslibrary

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Fermat's Library

@fermatslibrary

A platform for illuminating academic papers. We publish an annotated paper every week. Our chrome extension for arXiv: https://fermatslibrary.com/librarian 

fermatslibrary.com
Joined September 2015

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    Fermat's Library‏ @fermatslibrary 10 May 2019
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    Sieve of Eratosthenes is an ancient algorithm for finding all prime numbers up to any given limit. Make a list of all the integers ≤ n. Strike out the multiples of all primes ≤ √n, then the numbers that are left are the primes. 🤓pic.twitter.com/ewsGk3m9Aj

    6:16 AM - 10 May 2019
    • 817 Retweets
    • 2,690 Likes
    • Rohit Jogi Farid Babayev Bradley Vigil Maheshwara BN Jérôme Lallement PaGeDown1121 Human Person Dino Feeder Pierre Charles
    22 replies 817 retweets 2,690 likes
      1. New conversation
      2. TSrikeTWM‏ @srike_t 10 May 2019
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        Replying to @fermatslibrary

        Idk if anyone discovered this (or care about it) but when using the sieve, you can just check the largest square that doesn't exceed the upper limit number. E.g. for 1-500 you only need to check to 22 since 23^2=529 which exceeds 500

        1 reply 0 retweets 8 likes
      3. Numba "Wear your goddamn mask" Krunch‏ @numbakrunch 10 May 2019
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        Replying to @srike_t @fermatslibrary

        Really you only need to go up the greatest prime less than √n. So in the case of 500, you can safely check up to 19.

        0 replies 0 retweets 14 likes
      4. End of conversation
      1. Furry Canary‏ @FurryCanary 10 May 2019
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        Replying to @I_m_Jojo @fermatslibrary

        If it wasn't old, it wouldn't be ancient. And if it wasn't effective, it wouldn't be an algorithm.

        0 replies 1 retweet 1 like
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      1. La_Maudite‏ @La_Maudite 10 May 2019
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        Replying to @fermatslibrary

        This version is a somewhat optimized version of the sieve, since it starts changing the colors of squares greater that n^2. In the original version of the sieve, 6 should be green 10,15,20 should be blue 14,21,28,35,42 sould be yellow ....

        0 replies 0 retweets 3 likes
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      1. John Murray‏ @MurrayData 12 May 2019
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        Replying to @fermatslibrary

        John Murray Retweeted John Murray

        I successfully parallelised the Sieve of Eratosthenes algorithm on an NVIDIA V100 GPU which took 10 mins to find all 131,915,299 primes <2bn. See thread: https://twitter.com/MurrayData/status/1127506342107865088 … https://twitter.com/MurrayData/status/1127512452537757696 …https://twitter.com/MurrayData/status/1127531887700905985 …

        John Murray added,

        John Murray @MurrayData
        Parallel Sieve of Eratosthenes algorithm using @rapidsai on NVIDIA V100 found 131,915,299 primes for n<2bn in 10m17s. Single CPU took 3m20s to find primes for n<2mn & performance degrades exponentially as n increases. 3/3 pic.twitter.com/weSVCjyCv9
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        0 replies 0 retweets 3 likes
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      1. Roger Sauer‏ @rsauer3473 10 May 2019
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        Replying to @fermatslibrary

        A similar procedure was used with sheep by Henley Bowser-Weems (1828-1902) in The Cotswolds. The flock was arranged in a like pattern then spray painted different colors. The last ones painted were designated prime and fetched a higher price at market. No one caught on.

        0 replies 0 retweets 1 like
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      1. Per Lindholm‏ @perrabyte 10 May 2019
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        Replying to @fermatslibrary

        Guess - Every problem no matter how hard has a linked lists solution. a->b->x . So the brain as problem solver operates by linked memory. // Per

        0 replies 0 retweets 1 like
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      1. Ahmad Faraz‏ @ahmadfarazz 10 May 2019
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        Replying to @fermatslibrary

        That’s very basic mathematics. Also the order of code increases once n becomes very large. Like 1 mn

        0 replies 0 retweets 1 like
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      1. Sir Boast-a-lot();‏ @sirboast_a_lot 10 May 2019
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        Replying to @fermatslibrary

        Why I haven't seen this earlier

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