human
Count of interesting primes upto N | Function to find all prime numbers.
Create a boolean array " prime [ 0 . . n ] " and initialize all entries as true . A value in prime [ i ] will finally be false if i is Not a prime ..
If prime [ p ] is not changed , then it is a prime.
Update all multiples of p greater than or equal to the square of it.
Store all prime numbers.
Function to check if a number is perfect square or not.
To store all primes.
To store all interseting primes.
Store all perfect squares.
Store all perfect quadruples.
Store all interseting primes.
Return count of interseting primes.
Driver code"
Solution in Python:

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What is a code to count of interesting primes upto N and the other steps required?
assistant
#Here is code to count of interesting primes upto N and the other steps required.
 def SieveOfEratosthenes ( n , allPrimes ) :
	prime = [ True ] * ( n + 1 )
	p = 2
	while p * p <= n :
		if prime [ p ] == True :
			for i in range ( p * p , n + 1 , p ) :
				prime [ i ] = False
		p += 1
	for p in range ( 2 , n + 1 ) :
		if prime [ p ] :
			allPrimes . add ( p )
def countInterestingPrimes ( n ) :
	allPrimes = set ( )
	SieveOfEratosthenes ( n , allPrimes )
	interestingPrimes = set ( )
	squares , quadruples = [ ] , [ ]
	i = 1
	while i * i <= n :
		squares . append ( i * i )
		i += 1
	i = 1
	while i * i * i * i <= n :
		quadruples . append ( i * i * i * i )
		i += 1
	for a in squares :
		for b in quadruples :
			if a + b in allPrimes :
				interestingPrimes . add ( a + b )
	return len ( interestingPrimes )
N = 10
print ( countInterestingPrimes ( N ) )