====== Kurs języka Python - Lista 3. ======
===== Zadanie 1. =====
==== Rozwiazanie 1 ====
<code>
def pierwsza(n):

    tymcz_lista = [x for x in range(2,n) for y in range(2,n) if x>y and x%y==0]

    return [z for z in range(2,n) if z not in tymcz_lista]
</code>
==== Rozwiazanie 2 ====
<code>
import math

def z1(n):
        return [2] + [p for p in xrange(3,n,2) if not([m for m in [2] + range(3,int(math.sqrt(p))+1,2) if not(p % m)])]

print z1(200)
</code>

===== Zadanie 2. =====
  *http://pl.wikipedia.org/wiki/Liczby_doskona%C5%82e
<code>
import math

def z2(n):                      
        return [l for l in xrange(1,n) if sum([k for k in xrange(1,l/2+1) if not(l % k)]) == l]
                                
print z2(4000)
</code>

===== Zadanie 3. =====
<code>
import math

def z3(n):
        return [(p,len([i for i in xrange(1,int(math.log(n,p)+1)) if not(n % math.pow(p,i))])) for p in z1(n/2+1) if not(n % p)]

print z3(756)
</code>

===== Zadanie 4. =====
  *[[http://pl.wikipedia.org/wiki/Liczby_zaprzyjaźnione|http://pl.wikipedia.org/wiki/Liczby_zaprzyjaźnione]]
<code>
def z4(n):
        l = [(k, sum([i for i in xrange(1,k/2+1) if not(k % i)])) for k in xrange(1,n)]
        return [(a,b) for (a,b) in l if (b,a) in l and a < b]

print z4(1300)
</code>
{{tag>[listy_zadan]}}