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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 May 2018
    • Report Tweet
    • Report NetzDG Violation

    Here is the only way to write a perfect square other than 1 as the sum of the first several perfect squares.pic.twitter.com/oFShE7C235

    5:50 AM - 30 May 2018
    • 410 Retweets
    • 1,669 Likes
    • 𝓃𝒶𝓉 rae Jai Bhim श्लोकम श्रीवास्तव Aez Az💜 Enric Solé jc mitmih Hextrovert # 🐞
    14 replies 410 retweets 1,669 likes
      1. New conversation
      2. Shardul Heda‏ @ShardulHeda 30 May 2018
        • Report Tweet
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        Replying to @fermatslibrary

        @numberphile made a video about squares made of squares and told us that it is impossible to make a 70x70 out of these smaller squares. A shame :/

        3 replies 0 retweets 5 likes
      3. RV‏ @RV3003 30 May 2018
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        Replying to @ShardulHeda @fermatslibrary @numberphile

        Why would that be impossible if the above relationship holds

        1 reply 0 retweets 0 likes
      4. 1 more reply
      1. DℝOℕ∈‏ @d_r_o_n_e 30 May 2018
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        Replying to @fermatslibrary

        Cannoball (Square Pyramid) Problem conjectured by Lucas in 1875. Knowing Σ of consecutive squares formula and brute force it can be found that n=24. But elementary proof is quite sophisticated (found by Ma and Anglin).pic.twitter.com/us3RvwdUBV

        0 replies 0 retweets 12 likes
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      1. Francisco RH‏ @FRHENR 30 May 2018
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        Replying to @fermatslibrary

        The solution to this puzzle can be found using Elliptic curves theory as beautifully shown in Chapter 2 of Lawrence C. Washington's book: https://dl.acm.org/citation.cfm?id=1388394 …

        0 replies 1 retweet 6 likes
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      1. Bráulio Silveira‏ @van_der_Haegen 30 May 2018
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        Replying to @fermatslibrary

        Perfect Square Dissection http://mathworld.wolfram.com/PerfectSquareDissection.html …pic.twitter.com/wOzAkYUDLR

        0 replies 0 retweets 7 likes
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      1.  📈atha 📈iel  📊ood 📊ard‏ @Distributino 30 May 2018
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        Replying to @fermatslibrary

        90% of nerd debit card PINs are 4900 or taxicab number 🚕 💳

        0 replies 0 retweets 5 likes
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      1. Anders ⚡Bankrun incoming 2026‏ @Anders_ 30 May 2018
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        Replying to @fermatslibrary

        We are working on a product to teach math and programming for free and change education as we know it. Still very early days though: https://mathbot.com  @WeathermanIam @NateAgapi

        0 replies 0 retweets 4 likes
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      1. Nico Aguilera‏ @NicoaguileraCL 30 May 2018
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        Replying to @fermatslibrary

        It's truepic.twitter.com/nHNwkvtvdi

        0 replies 0 retweets 4 likes
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      1. Yoav Shati‏ @YoavShati 30 May 2018
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        Replying to @fermatslibrary

        It's there a proof for it being the last one?

        0 replies 0 retweets 2 likes
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      1. Mike O'Connor‏ @CodingInJapan 30 May 2018
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        Replying to @fermatslibrary

        Here's the code to brute force it in Pythonpic.twitter.com/9H90gGue1Q

        0 replies 0 retweets 2 likes
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