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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 14 Oct 2019
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    An untouchable number is a number that is never the sum of the factors of any other number. In 1973, Paul Erdös proved that there are infinitely many untouchable numbers.pic.twitter.com/mjrIws0iUs

    5:37 AM - 14 Oct 2019
    • 344 Retweets
    • 1,481 Likes
    • peteinarlington auntie gay. Joseph Donovan PregnantDragon MoreOrLess Adam J Duncan #Bhanutej2906 அருண்மதுரை RINKIYA के PAPA
    23 replies 344 retweets 1,481 likes
      1. New conversation
      2. Justus‏ @vocalnerd 14 Oct 2019
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        Replying to @fermatslibrary

        I'm sure I'm misunderstanding something because isn't 5=2+3, with 2 and 3 being the factors of 6?

        7 replies 0 retweets 31 likes
      3.  🍀‏ @DrBonesdmlxyzd 14 Oct 2019
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        Replying to @vocalnerd @fermatslibrary

        6 has 4 factors, 1,2,3 and 6.1+2+3+6=12. The definition given was really quite confusing tho.

        2 replies 0 retweets 52 likes
      4. 2 more replies
      1. DℝOℕ∈‏ @d_r_o_n_e 14 Oct 2019
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        Replying to @fermatslibrary

        Untouchable number is natural number that can't be expressed as the sum of all the proper divisors of any natural number (including untouchable number itself). 5 is the only odd untouchable number iff Goldbach Conjecture is true.pic.twitter.com/3RVT2dT1fT

        0 replies 2 retweets 26 likes
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      1. Vincent Pantal 🍩ni‏ @panlepan 14 Oct 2019
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        Replying to @fermatslibrary

        Untouchable numbers : #OEIS A005114 https://oeis.org/A005114 

        0 replies 2 retweets 18 likes
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      1. New conversation
      2. marc vereecken‏ @mpvereecken 14 Oct 2019
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        Replying to @fermatslibrary

        that's not correct..... F.i : 235 = 5 * 47 and the sum is 52 !!! 415 = 5 * 83 and the sum is 88 !!! 451 = 11 * 41 and the sum is 52 !!! 498 = 2 * 3 * 83 and the sum is 88 !!! and there are many other examples......😢😢😢

        1 reply 0 retweets 3 likes
      3. Christopher Homoky‏ @ChrisHasScience 14 Oct 2019
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        Replying to @mpvereecken @fermatslibrary

        It's the sum of proper divisors, which includes 1, so for 235: 1+5+47 = 53.

        1 reply 0 retweets 5 likes
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      2. Roland‏ @hrolnd 14 Oct 2019
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        Replying to @fermatslibrary

        the first thing that came to mind was Fortnite.. I'm ruined

        1 reply 0 retweets 6 likes
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      1. Patrick Warren‏ @plwarre 14 Oct 2019
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        Replying to @fermatslibrary

        Summing factors just seems wrong.

        0 replies 0 retweets 6 likes
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      1. Roger Sauer‏ @rsauer3473 14 Oct 2019
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        Replying to @fermatslibrary

        Another untouchable number is “My Way” recorded by Frank Sinatra in 1969.

        0 replies 0 retweets 6 likes
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