4 ms·
I'd like to understand why primes are believed to be really something, can you please elaborate?
by pestaa 15y ago
I'd like to understand why primes are believed to be really something, can you please elaborate?
- Estragon 15y agoFor instance, they are points in the geometric object known as the scheme over the integers.[1] The Riemann Zeta function of the Riemann Hypothesis generalizes to other schemes, and reflects their geometric properties (being vague because it's over a decade since I studied this stuff.) It is just barely in the realms of possibility that a new computationally simple way of finding large primes would also reflect something about the geometric structure of schemes over Z. (But it seems pretty damn unlikely to me.) [1] http://en.wikipedia.org/wiki/Scheme_(mathematics)#Modern_definitions_of_the_objects_of_algebraic_geometry http://en.wikipedia.org/wiki/Scheme_(mathematics)#Modern_def...
- eru 15y agoSorry, could you please clarify your question?
- pestaa 15y agoI didn't know why primes are considered special, apart from the basic requirement they fulfill. GP sounded like they might serve a bigger unknown purpose.
- eru 15y agoA study of number theory will enlighten you. By the way, 2 is most special prime. Lots of nice theorems about prime numbers have special cases for 2.