Problems about primes, from easy to Fields medal with tiny tweaks

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  • Опубліковано 10 лют 2025
  • In this video we talk about six different problems about primes numbers, some of which are easy to solve, and some of them are very important open problems in number theory #math #numbertheory #primenumber #challenge #stem #conjecture

КОМЕНТАРІ • 10

  • @a.hardin620
    @a.hardin620 8 днів тому +8

    Cool that the slightest changes in a problem make it go from easily solved to crazy difficult. 😮 Excellent presentation!

  • @ribozyme2899
    @ribozyme2899 7 днів тому +3

    Got everything right except (e)... saw that one as a Pell equation like (f), but didn't even notice that you can just look at it mod 4 and then it's easy.

  • @AniketKumar-lw6su
    @AniketKumar-lw6su 6 днів тому +2

    I started the video and immediately paused thinking that undoable ones will be at the end and went on for like half an hour on the second one 😅

  • @captainsnake8515
    @captainsnake8515 10 днів тому +6

    Yipee I was right on the previous video

    • @mathandcobb
      @mathandcobb  10 днів тому +3

      @@captainsnake8515 👏👏👏

  • @OctaCálculo_Oficial
    @OctaCálculo_Oficial 7 днів тому +1

    ¿Qué diferencia hay entre la conjetura de Chowla-Mahler (recientemente demostrado por Pastén) y la conjectura de Hardy-Littlewood?

  • @NoNTr1v1aL
    @NoNTr1v1aL 4 дні тому +1

    Is that a Hagoromo chalk?

    • @mathandcobb
      @mathandcobb  4 дні тому +2

      @@NoNTr1v1aL 100% ... There is a Hagoromo discount code in the Linktree in my profile!

  • @JBh-v9b
    @JBh-v9b 6 днів тому +2

    1:52 how does this conclude p=2?

    • @AniketKumar-lw6su
      @AniketKumar-lw6su 6 днів тому +1

      Since both n+1 and n-1 are even, we can say that atleast one of them is a multiple of 4, so in the factorisation of RHS there will certainly be an 8
      This implies that p is even and the only even prime is 2