Contents

# Sieve

Use the Sieve of Eratosthenes to find all the primes from 2 up to a given
number.

The Sieve of Eratosthenes is a simple, ancient algorithm for finding all
prime numbers up to any given limit. It does so by iteratively marking as
composite (i.e. not prime) the multiples of each prime, starting with the
multiples of 2. It does not use any division or remainder operation.

Create your range, starting at two and continuing up to and including the given limit. (i.e. [2, limit])

The algorithm consists of repeating the following over and over:

- take the next available unmarked number in your list (it is prime)
- mark all the multiples of that number (they are not prime)

Repeat until you have processed each number in your range.

When the algorithm terminates, all the numbers in the list that have not
been marked are prime.

The wikipedia article has a useful graphic that explains the algorithm:
https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes

Notice that this is a very specific algorithm, and the tests don't check
that you've implemented the algorithm, only that you've come up with the
correct list of primes. A good first test is to check that you do not use
division or remainder operations (div, /, mod or % depending on the
language).

# Running the tests

You can run all the tests for an exercise by entering

```sh
$ gradle test
```

in your terminal.

## Source

Sieve of Eratosthenes at Wikipedia [http://en.wikipedia.org/wiki/Sieve_of_Eratosthenes](http://en.wikipedia.org/wiki/Sieve_of_Eratosthenes)

## Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.

Version data entries

44 entries across 44 versions & 1 rubygems

Version	Path
trackler-2.2.1.180	tracks/java/exercises/sieve/README.md
trackler-2.2.1.179	tracks/java/exercises/sieve/README.md
trackler-2.2.1.178	tracks/java/exercises/sieve/README.md
trackler-2.2.1.177	tracks/java/exercises/sieve/README.md
trackler-2.2.1.176	tracks/java/exercises/sieve/README.md
trackler-2.2.1.175	tracks/java/exercises/sieve/README.md
trackler-2.2.1.174	tracks/java/exercises/sieve/README.md
trackler-2.2.1.173	tracks/java/exercises/sieve/README.md
trackler-2.2.1.172	tracks/java/exercises/sieve/README.md
trackler-2.2.1.171	tracks/java/exercises/sieve/README.md
trackler-2.2.1.170	tracks/java/exercises/sieve/README.md
trackler-2.2.1.169	tracks/java/exercises/sieve/README.md
trackler-2.2.1.167	tracks/java/exercises/sieve/README.md
trackler-2.2.1.166	tracks/java/exercises/sieve/README.md
trackler-2.2.1.165	tracks/java/exercises/sieve/README.md
trackler-2.2.1.164	tracks/java/exercises/sieve/README.md
trackler-2.2.1.163	tracks/java/exercises/sieve/README.md
trackler-2.2.1.162	tracks/java/exercises/sieve/README.md
trackler-2.2.1.161	tracks/java/exercises/sieve/README.md
trackler-2.2.1.160	tracks/java/exercises/sieve/README.md