Implement the Sieve of Eratosthenes and use it to find all prime numbers less than or equal to one million. Lse the result co prowe GGoldbach's Conjecture for all cven integers between four and one million, inclusive. Implement a function with the following declaration: void sieve(ine arraylI, int num); This function takes an integer array as its argument. The array shouldl be initialized to the values i chrough 1000000. The funcrion modifics the array so that only the prime numbers remain; all other values are zeroed out. This function must be written to accept an integer array of any size. You must should out pur for all primes numbers betwcen 1 and 100000o, but when I test your function it may be un al array of a different size. Implement a function with the following declaration: void goldbach(int arrayll, int num); This function takes the same argument as che previous funcrion and displays cach cven integcr between 4 and T00c00o with rwo prime numbers that add to it. The gual here is to provide an efficient implementation. This means no mulriplication, division, or moculus when determining if a number is prime. It also means that the second function must find two primes efficiently Ourpur for your program: All prime numbers betwcen i and tooooco and all even numbers between 4 and 1000000 and the two prime numbers that sum up to it.

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Implement the Sieve of Eratosthenes
and use it to find all prime numbers
less than or equal to one million. Lise
the result co prwe GGoldbach's
Conjecture for all cven integers
between four and one million,
inclusive.
Implement a function with the
following declaration: void sieve(inc
arraylI, int num);
This function takes an integer array as
its argurment. The array should be
initialized to the values i through
1000000. The function modifics the
array so that only the prime numbers
remain; all other values are zeroed out.
This function must be written to
accept an integer array of any size. You
must should out pur for all primes
numbers betwcen 1 and 100000o, but
when I test your function it may be on
al array of a different size.
Implement a function with thc
following declaration: void
goldbach(int arraylt, int num)
This function takes the same argument
as che previous funcrion and displays
cach cven integer between 4 and
T0oc000 with rwo prime numbers that
add to it.
The gual here is to provide an efficient
implementacion. This means no
multiplication, division, or moculus
when determining if a number is prime.
It also means that the second function
Imust find two primes efficiently.
Outpur for your program: All prime
numbers between i and rooooco and
all even numbers between 4 and
1000000 and the two prime numbers
that sum up to it.
Transcribed Image Text:Implement the Sieve of Eratosthenes and use it to find all prime numbers less than or equal to one million. Lise the result co prwe GGoldbach's Conjecture for all cven integers between four and one million, inclusive. Implement a function with the following declaration: void sieve(inc arraylI, int num); This function takes an integer array as its argurment. The array should be initialized to the values i through 1000000. The function modifics the array so that only the prime numbers remain; all other values are zeroed out. This function must be written to accept an integer array of any size. You must should out pur for all primes numbers betwcen 1 and 100000o, but when I test your function it may be on al array of a different size. Implement a function with thc following declaration: void goldbach(int arraylt, int num) This function takes the same argument as che previous funcrion and displays cach cven integer between 4 and T0oc000 with rwo prime numbers that add to it. The gual here is to provide an efficient implementacion. This means no multiplication, division, or moculus when determining if a number is prime. It also means that the second function Imust find two primes efficiently. Outpur for your program: All prime numbers between i and rooooco and all even numbers between 4 and 1000000 and the two prime numbers that sum up to it.
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