# Implement the sieve of eratosthenes and use it to find all prime

Python
Implement the Sieve of Eratosthenes and use it to find all prime numbers less than or equal to one million. Use the result to prove Goldbach’s Conjecture for all even integers between four and one million, inclusive. Implement a method with the following declaration:

def sieve(list):

This function takes a list of integers as its argument. The list should be initialized to the values 1 through 1000000. The function modifies the list so that only the prime numbers remain; all other values are changed to zero. This function must be written to accept a list of integers of any size. You should output for all primes numbers between 1 and 1000000, but when I test your function it may be on an list of a different size. The number will be specified at runtime (i.e. use the ‘input’ function). Implement a method with the following declaration:

def goldbach(list):

This function takes the same argument as the previous method and displays each even integer between 4 and 1000000 with two prime numbers that add to it. The goal here is to provide an efficient implementation. This means no multiplication, division, or modulus when determining if a number is prime. It also means that the second method must find two primes efficiently. Output for your program: All prime numbers between 1 and 1000000 and all even numbers between 4 and 1000000 and the two prime numbers that sum up to it.

Print all the prime number like

2
3
5
7
17
19
23

4=2+2

6=3+3

8=3+5

10=3+7

12+ 5+7

it should continue until we get all print

Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Your email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

### Fair-cooperation guarantee

By sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors: