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Sieve of Atkin | Python 3 program for implementation of Sieve of Atkin.
2 and 3 are known to be prime.
Initialise the sieve array with False values.
Mark sieve [ n ] is True if one of the following is True : a ) n = ( 4 * x * x ) + ( y * y ) has odd number of solutions , i . e . , there exist odd number of distinct pairs ( x , y ) that satisfy the equation and n % 12 = 1 or n % 12 = 5. b ) n = ( 3 * x * x ) + ( y * y ) has odd number of solutions and n % 12 = 7 c ) n = ( 3 * x * x ) - ( y * y ) has odd number of solutions , x > y and n % 12 = 11.
Main part of Sieve of Atkin.
Mark all multiples of squares as non - prime.
Print primes using sieve [ ].
Driver Code"
Solution in Python:

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Write me a code to sieve of Atkin and the other steps required?
assistant
#Here is code to sieve of Atkin and the other steps required.
 def SieveOfAtkin ( limit ) :
	if ( limit > 2 ) :
		print ( 2 , end = " ▁ " )
	if ( limit > 3 ) :
		print ( 3 , end = " ▁ " )
	sieve = [ False ] * limit
	for i in range ( 0 , limit ) :
		sieve [ i ] = False
	x = 1
	while ( x * x < limit ) :
		y = 1
		while ( y * y < limit ) :
			n = ( 4 * x * x ) + ( y * y )
			if ( n <= limit and ( n % 12 == 1 or n % 12 == 5 ) ) :
				sieve [ n ] ^= True
			n = ( 3 * x * x ) + ( y * y )
			if ( n <= limit and n % 12 == 7 ) :
				sieve [ n ] ^= True
			n = ( 3 * x * x ) - ( y * y )
			if ( x > y and n <= limit and n % 12 == 11 ) :
				sieve [ n ] ^= True
			y += 1
		x += 1
	r = 5
	while ( r * r < limit ) :
		if ( sieve [ r ] ) :
			for i in range ( r * r , limit , r * r ) :
				sieve [ i ] = False
	for a in range ( 5 , limit ) :
		if ( sieve [ a ] ) :
			print ( a , end = " ▁ " )
limit = 20
SieveOfAtkin ( limit )