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Marxism-Fennekinism@lemmy.ml to Memes@lemmy.mlEnglish · 2 years ago

Primes

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Primes

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Marxism-Fennekinism@lemmy.ml to Memes@lemmy.mlEnglish · 2 years ago
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  • JohnDClay@sh.itjust.works
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    2 years ago

    Often things hold true for all primes except 2. You come across things like “for all non two primes”

    • wischi@programming.dev
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      2 years ago

      Any examples? Sounds like you mean the reason why one is excluded from the primes because of the fundamental theorem of arithmetic.

      • Kogasa@programming.dev
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        2 years ago

        No, he’s right. “For any odd prime” is a not-unheard-of expression. It is usually to rule out 2 as a trivial case which may need to be handled separately.

        https://en.wikipedia.org/wiki/Fermat's_theorem_on_sums_of_two_squares

        https://www.jstor.org/stable/2047029

        https://www.jstor.org/stable/2374361

        • wischi@programming.dev
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          2 years ago

          It’s not unheard of no, but if you have to rule out two for some reason it’s because of some other arbitrary choice. In the first instance (haven’t yet looked at the second and third one) it has to do with the fact that a sum of “two” was chosen arbitrary. You can come up with other things that requires you to exclude primes up to five.

          • Kogasa@programming.dev
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            2 years ago

            Okay? Like I said, it’s usually to rule out cases where 2 is a trivial edge case. It’s common enough that “for any odd prime / let p be an odd prime” is a normal expression. That’s all.

      • JohnDClay@sh.itjust.works
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        2 years ago

        I just remember it from numberphile, I don’t remember what videos sorry.

        • wischi@programming.dev
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          2 years ago

          Wow that was fast I just edited my previous comment and you probably mean “1 and prime numbers” by numberphile with james grime.

    • Whirlybird@aussie.zone
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      2 years ago

      Like what? Genuine question, have never heard of this.

      • JohnDClay@sh.itjust.works
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        2 years ago

        In the drawer in the living room in the house in my town in my state in my country.

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