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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 30 Dec 2017
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    Sieve of Eratosthenes: 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/PXZ6Zgcd62

    6:05 AM - 30 Dec 2017
    • 1,217 Retweets
    • 4,077 Likes
    • Michael Lloyd Gema Anggada ✌︎ StatCafe Erick Lee HRCE Math rbeltran TrajicK Java Script Briefly Andrew Nguyen Gangster Spongebob
    35 replies 1,217 retweets 4,077 likes
      1. Fermat's Library‏ @fermatslibrary 30 Dec 2017
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        In pseudo-code: Eratosthenes(n) { a[1] := 0 for i := 2 to n do a[i] := 1 p := 2 while p² < n do { j := p² while (j < n) do { a[j] := 0 j := j+p } repeat p := p+1 until a[p] = 1 } return(a) }

        12 replies 117 retweets 589 likes
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      2. Internauta‏ @Intranaught 30 Dec 2017
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        Replying to @fermatslibrary

        There's a lot of fuzz and hype about prime numbers But, what is their utter importance, use, value in the practice? Someone explain me, please

        8 replies 0 retweets 4 likes
      3. Martin Brochhaus‏ @mbrochh 30 Dec 2017
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        Replying to @Intranaught @fermatslibrary

        I suck at math, but I believe they are used in cryptography. Check this out:https://stackoverflow.com/questions/439870/why-are-primes-important-in-cryptography …

        1 reply 0 retweets 22 likes
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      1. Babak Farhang‏ @farkf 30 Dec 2017
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        Replying to @fermatslibrary

        Re the sieve, once accidentally "derived" a differential equation for it. Define Q(x) = ∏(1 - 1/p) taken over all primes p ≤ x, then (using probabilistic smoothing) Q'(x) = - Q(x) Q( √x ) / x => Q(x) = 1 / 2 ln x (in agreement w/ Gauss's estimate)http://babaksjournal.blogspot.com/2008/07/differential-equation-estimating.html …

        0 replies 4 retweets 8 likes
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      2. DℝOℕ∈‏ @d_r_o_n_e 30 Dec 2017
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        Replying to @fermatslibrary

        If anyone wonders why we check till floor(sqrt(n)): If n is composite then we can write n=a·b, where 1 < a ≤ b < n a²≤a·b=n ∴ a ≤ √n

        1 reply 0 retweets 24 likes
      3. Sandeep Patel‏ @sapatelud 30 Dec 2017
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        Replying to @d_r_o_n_e @fermatslibrary

        Cool. Don’t know much bout composite numbers but will check it out.

        1 reply 0 retweets 0 likes
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      1. mass ave curmudgeon‏ @mass_ave 30 Dec 2017
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        Replying to @fermatslibrary

        Who says you have nothing to do today?

        0 replies 0 retweets 5 likes
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      1. Daniel Martín‏ @dmartincy 30 Dec 2017
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        Replying to @fermatslibrary

        A question to make the interested reader think is: What happens when “n” is very large? How could you sieve segments of 2..n?

        0 replies 0 retweets 3 likes
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      2. lu(iza)‏ @luizacporto 31 Dec 2017
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        Replying to @fermatslibrary @najuaguiar

        sai do site Ana Julia

        1 reply 0 retweets 1 like
      3. naju‏ @najuaguiar 31 Dec 2017
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        Replying to @luizacporto @fermatslibrary

        NUNCA

        0 replies 0 retweets 1 like
      4. End of conversation

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