Hausaufgabe Primzahlen

#------------------------------------------
#Aufgabe 1
def isGerade(n):
    if((n%2)==0):
        return True
    return False


#---------------------------------------------------------
#Aufgabe 2
#1. versuch
def prim(n):
    counter = 0
    for i in range(1,n+1):
        if ((n % i)==0):
            counter +=1
    if (counter > 2):
        return False
    return True

#gekürtzt
def isPrim(n):
    for i in range(2,n):
        if ((n % i)==0):
            return False
    return True


#-----------------------------------------------------------
#Aufgabe 3
def prim(n):
    counter = 0
    prims = []
    for i in range(n, 0, -1):
        if(isPrim(i)):
            counter +=1
            prims.append(i)
    print("Es liegen ",counter," Primzahlen unter ",n)
    print("Diese sind:")
    return prims

def prime(n):
    counter = 0
    prims = []
    for i in range(n, 0, -1):
        if(isPrim(i)):
            counter +=1
            prims.append(i)
    return prims

#-------------------------------------------------------------
#Aufgabe 4
#eine Zerlegung (größt mögliche)
def zerlegung(n):
    if (isGerade(n)):
        possiblenumbers = prime(n)
        sint = 0
        prims = []
        while(sint != n):
            for i in range(0, len(possiblenumbers)):
                if (sint+possiblenumbers[i] <= n):
                    sint = sint + possiblenumbers[i]
                    prims.append(possiblenumbers[i])
        print("Mann kann 22 in ",prims," zerlegen")
    else:
        print("Es muss eine gerade Zahl sein")


def zerlegungen(n):
    if (isGerade(n)):
            possiblenumbers = prime(n)
            sint = 0
            prims = []
            while(True):
                while(sint != n):
                    for i in range(0, len(possiblenumbers)):
                        if (sint+possiblenumbers[i] <= n):
                            sint = sint + possiblenumbers[i]
                            prims.append(possiblenumbers[i])
                if(len(prims) == 3):
                    return
                else:
                    print("Mann kann", n
                          ," in ",prims," zerlegen")
                    possiblenumbers.remove(possiblenumbers[0])
                    sint = 0
                    prims = []
    else:
        print("Es muss eine gerade Zahl sein")