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Write me a code to count prime numbers up to N that can be represented as a sum of two prime numbers and the other steps required given the following:
Count prime numbers up to N that can be represented as a sum of two prime numbers | Function to store all prime numbers up to N using Sieve of Eratosthenes.
Set 0 and 1 as non - prime.
If p is prime.
Set all multiples of p as non - prime.
Function to count prime numbers up to N that can be represented as the sum of two prime numbers.
Stores all the prime numbers.
Update the prime array.
Create a dp array of size n + 1.
Update dp [ 1 ] = 0.
Iterate over the range [ 2 , N ].
Add the previous count value.
Increment dp [ i ] by 1 if i and ( i - 2 ) are both prime.
Print the result.
Driver Code"
Solution in Python:
assistant
#Here is code to count prime numbers up to N that can be represented as a sum of two prime numbers and the other steps required.
 def SieveOfEratosthenes ( n , prime ) :
	prime [ 0 ] = 0
	prime [ 1 ] = 0
	p = 2
	while p * p <= n :
		if ( prime [ p ] == True ) :
			for i in range ( p * p , n + 1 , p ) :
				prime [ i ] = False
		p += 1
def countPrime ( n ) :
	prime = [ True ] * ( n + 1 )
	SieveOfEratosthenes ( n , prime )
	dp = [ 0 ] * ( n + 1 )
	dp [ 1 ] = 0
	for i in range ( 2 , n + 1 ) :
		dp [ i ] += dp [ i - 1 ]
		if ( prime [ i ] == 1 and prime [ i - 2 ] == 1 ) :
			dp [ i ] += 1
	print ( dp [ n ] )
if __name__ == " _ _ main _ _ " :
	N = 6
	countPrime ( N )