September 2014
Intermediate to advanced
512 pages
12h 39m
English
Content preview from IPython Interactive Computing and Visualization CookbookBecome an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
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A bit of number theory with SymPy
SymPy contains many number-theory-related routines: obtaining prime numbers, integer decompositions, and much more. We will show a few examples here.
Getting ready
To display legends using LaTeX in matplotlib, you will need an installation of LaTeX on your computer (see this chapter's Introduction).
How to do it...
- Let's import SymPy and the number theory package:
In [1]: from sympy import * init_printing() In [2]: import sympy.ntheory as nt - We can test whether a number is prime:
In [3]: nt.isprime(2011) Out[3]: True
- We can find the next prime after a given number:
In [4]: nt.nextprime(2011) Out[4]: 2017
- What is the 1000th prime number?
In [5]: nt.prime(1000) Out[5]: 7919
- How many primes less than 2011 are there?
In [6]: nt.primepi(2011) ...
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O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.