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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 23 Jun 2018
    • Report Tweet
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    73939133 is the largest prime number with this curious property: if you take one or more digits off the end, the resulting numbers are all prime.pic.twitter.com/KXxGnVe37G

    6:02 AM - 23 Jun 2018
    • 1,165 Retweets
    • 4,236 Likes
    • Dan Madison 🚡 Thisisliterallyaboutnothing VisualSitemaps Konstantin Kladko volkan çiçek Lara. 078 Quivity Saleh Ghaffari mfree44
    34 replies 1,165 retweets 4,236 likes
      1. New conversation
      2. 🗦 FireFly 🗧‏ @FireyFly 23 Jun 2018
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        Replying to @fermatslibrary

        I guess the proof that there is no larger number with this property is just an exhaustive search with all 8-digit primes and all possible digits to append to it? I wonder what the same constraint applied to other bases looks like, hm.

        4 replies 0 retweets 13 likes
      3. 🗦 FireFly 🗧‏ @FireyFly 23 Jun 2018
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        Replying to @FireyFly @fermatslibrary

        I decided to go ahead and hack up an exhaustive search myself, for different bases. This should be the same thing for bases 3-16 inclusive (biggest number for which all prefixes are primes, when represented in base N)pic.twitter.com/kCH4thhxu3

        The highest all-prefixes-are-prime numbers for bases 3-16, tabulated, in both decimal and the native base. In their native base: 3, 2122; 4, 2333; 5, 34222; 6, 2155555; 7, 25642; 8, 21117717; 9, 3444224222; 10, 73939133 (same as OP); 11, 29668286AA; 12, 375BB5B515; 13, B6C2CA8A8A; 14, 2DD35B9D399395B3D; 15, 72424E42EEE8E; 16, 3B9BF319BD51FF)
        1 reply 0 retweets 12 likes
      4. 2 more replies
      1. New conversation
      2. ville‏ @villeuo 23 Jun 2018
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        Replying to @fermatslibrary

        okay tbh I get it some things are interesting in base 10

        1 reply 0 retweets 1 like
      3. 🗦 FireFly 🗧‏ @FireyFly 23 Jun 2018
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        Replying to @villeuo @fermatslibrary

        Each time I see something like this that is specific to base-10, I wonder how it generalises across bases. The n/7 fractions thing would be another one (0.142857..., 0.285714..., etc)

        1 reply 0 retweets 4 likes
      4. 2 more replies
      1. New conversation
      2. Damião Cósmico‏ @_jrse_ 24 Jun 2018
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        Replying to @fermatslibrary

        @smolf já viu isso?

        1 reply 0 retweets 1 like
      3. Λugusto‏ @smolf 24 Jun 2018
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        Replying to @_jrse_ @fermatslibrary

        Caraio!! Teoria dos números nunca cessa em me surpreender

        0 replies 0 retweets 1 like
      4. End of conversation
      1. New conversation
      2. Dave "https://amzn.to/39SNfiN" Birch‏ @dgwbirch 24 Jun 2018
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        Replying to @fermatslibrary @JohnNosta

        Really? Paging @robeastaway https://goo.gl/images/HQpEmv 

        1 reply 0 retweets 0 likes
      3. Rob Eastaway‏ @robeastaway 24 Jun 2018
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        Replying to @dgwbirch @fermatslibrary @JohnNosta

        73939133 is the longest right-truncatable prime; but the pencil has the longest (and more impressive) left-truncatable prime.

        1 reply 0 retweets 4 likes
      4. 3 more replies
      1. [bB][oO][nN]{2}\S{1,3}‏ @SNUGSFBay 23 Jun 2018
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        Replying to @fermatslibrary @vanessa_murdock

        Between this and the immortal lobsters Tweet (it’s all about telomeres), today is the best.

        1 reply 0 retweets 1 like
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      1. pedro‏ @PeHSalerno 23 Jun 2018
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        Replying to @fermatslibrary

        @PVGarciaR

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