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Number theory involves properties and relationships of numbers, primarily positive integers.
6
votes
Residue Number System
GAP
Some Background: I will admit that when I created this question, so many months ago, I did not have a method for solving the hard part of this question: determining the correct number of primes to …
27
votes
3
answers
3k
views
Residue Number System
In the vein of large number challenges I thought this one might be interesting.
In this challenge, we will be using the Residue Number System (RNS) to perform addition, subtraction, and multiplicati …
11
votes
Calculate the number of primes up to n
Rust, 0.37001 sec (12 June 2016)
About 10 times slower than slower than Dennis' C answer, but 10 times faster than his Python entry. This answer is made possible by @Shepmaster and @Veedrac who helped …
74
votes
16
answers
15k
views
Calculate the number of primes up to n
π(n) is the number of primes less than or equal to n.
Input: a natural number, n.
Output: π(n).
Scoring: This is a fastest-code challenge. Score will be the sum of times for the score cases. I wi …