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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 22 Dec 2018
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    2⁸²⁵⁸⁹⁹³³-1 is the largest known prime number and was discovered yesterday. It's substantially easier to find primes of the form 2ᵖ-1, also called Mersenne Primes. Here's why: https://fermatslibrary.com/s/a-really-trivial-proof-of-the-lucas-lehmer-test#email-newsletter …pic.twitter.com/VLGeIhqIiX

    5:50 AM - 22 Dec 2018
    • 2,722 Retweets
    • 7,442 Likes
    • peoslol burak arslan patates soyacagi StatCafe Loquacious Lobster The other Capella✨ Shadi RazmShoar Şeref Oğuz Martin Vahi
    52 replies 2,722 retweets 7,442 likes
      1. Fermat's Library‏ @fermatslibrary 22 Dec 2018
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        Would you install an app on your laptop/phone and keep it for 1 year to help find the next biggest prime number (no noticeable performance drop because of it)?

        43 replies 46 retweets 149 likes
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      2. Pallas Tweet‏ @PallasTweet 22 Dec 2018
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        Replying to @fermatslibrary

        I 'like' these posts because I want my 60 followers to think i'm smart.

        1 reply 8 retweets 132 likes
      3. Mahesh Raja‏ @mahesh0559 22 Dec 2018
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        Replying to @PallasTweet @fermatslibrary

        Seems u are closer to getting 60 likes for your comment.

        0 replies 0 retweets 0 likes
      4. End of conversation
      1. New conversation
      2. xmp125a‏ @xmp125a 22 Dec 2018
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        Replying to @fermatslibrary @liangweihan4

        Are Mersenne primes equally useful for cryptography or have other weaknesses as well?

        1 reply 0 retweets 5 likes
      3. Paul‏ @bigunclepaul 22 Dec 2018
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        Replying to @xmp125a @fermatslibrary @liangweihan4

        Mersenne primes are not really useful for cryptographic purposes. A single modular exponentiation modulo one of these primes can take hours, and using one as a factor in an RSA key is sort of a giveaway.

        1 reply 0 retweets 7 likes
      4. 2 more replies
      1. Tamás Görbe‏ @TamasGorbe 22 Dec 2018
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        Replying to @fermatslibrary

        Tamás Görbe Retweeted Tamás Görbe

        https://twitter.com/TamasGorbe/status/1076401172624347136?s=09 …

        Tamás Görbe added,

        Tamás Görbe @TamasGorbe
        We have a new Mersenne prime M₈₂ ₅₈₉ ₉₃₃=2⁸² ⁵⁸⁹ ⁹³³ - 1. It has 24,862,048 digits making it the largest known prime. By the Euler-Euclid theorem, we get a new even perfect number 2⁸² ⁵⁸⁹ ⁹³²(2⁸² ⁵⁸⁹ ⁹³³ - 1) for free. Are there odd ones? No one knows... pic.twitter.com/uwBfa397rJ
        Show this thread
        0 replies 2 retweets 25 likes
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      2. Paul Bottomley‏ @Paul83Bottomley 22 Dec 2018
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        Replying to @fermatslibrary

        If we are finding "easy" primes, are there potentially huge prime numbers we've missed because they're not in this series?

        1 reply 0 retweets 5 likes
      3. Nikita Lisitsa‏ @lisyarus 22 Dec 2018
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        Replying to @Paul83Bottomley @fermatslibrary

        Sure! By the prime number theorem, there are approximately 2^82589911 primes between the previous largest known prime and the new one.

        0 replies 0 retweets 31 likes
      4. End of conversation
      1. Grant Bosse‏ @grantbosse 22 Dec 2018
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        Replying to @fermatslibrary @GraniteGeek

        That’s odd.

        0 replies 1 retweet 28 likes
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      2. Erdem Pulcu‏ @ErdemPulcu 22 Dec 2018
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        Replying to @fermatslibrary

        somehow Matlab doesn't like itpic.twitter.com/cQu4iYCYx5

        2 replies 0 retweets 11 likes
      3. Mikhail Koypish‏ @KoypishMikhail 23 Dec 2018
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        Replying to @ErdemPulcu @fermatslibrary

        hah, and don't you guess why? hint: calculate how much bytes needed to store this number

        0 replies 0 retweets 7 likes
      4. End of conversation

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