diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..ed8ebf5
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1 @@
+__pycache__
\ No newline at end of file
diff --git a/functions/functions.py b/functions/functions.py
new file mode 100644
index 0000000..f4ce4c9
--- /dev/null
+++ b/functions/functions.py
@@ -0,0 +1,51 @@
+import random, copy
+
+#sprawdza czy liczby są pierwsze
+def fermat(dokladnosc, liczba):
+    i = 0
+    while i < dokladnosc:
+        a = random.randint(1, liczba - 1)
+        if pow(a, (liczba - 1), liczba) == 1:
+            i = i + 1
+        else:
+            return False
+    return True
+
+#x * u + N * v = d
+#Jeśli d == 1 to liczby są względnie pierwsze
+#d to NWD
+def euklides(x, N):
+    A,B,U,V = N, x, 0, 1
+    while True:
+        q = A // B
+        A_new = copy.deepcopy(B)
+        B = A - B * q
+        A = A_new
+        U_new = copy.deepcopy(V)
+        V = U - V * q
+        U = U_new
+        if B == 0: 
+            break
+    d, u = A, U
+    v = (d - x * u)/N
+    return u, v, d
+
+
+#liczba odwrotna do b w modulo n
+def odwrotnosc(b, n):
+    u, _, d = euklides(b, n)
+    if d == 1:
+        return u % n
+    else:
+        return False
+
+
+#potegowanie x do k w mod n
+def potegowanieimod(x, k, n):
+    y = 1
+    while k > 0:
+        if k & 1:
+            y = y*x % n
+        x = x**2 % n
+        k = k >> 1
+    return y
\ No newline at end of file
diff --git a/zajecia3/rsa.py b/zajecia3/rsa.py
new file mode 100644
index 0000000..51a4ee3
--- /dev/null
+++ b/zajecia3/rsa.py
@@ -0,0 +1,44 @@
+# rsa
+import sys, random
+sys.path.append("../")
+
+import functions.functions as fn
+
+
+#generowanie kluczy
+pierwsze = []
+while True:
+    a = random.getrandbits(512)
+    if (fn.fermat(100, a)):
+        pierwsze.append(a)
+        if len(pierwsze) == 2:
+            break
+
+n = pierwsze[0] * pierwsze[1]
+fi = (pierwsze[0] - 1) * (pierwsze[1] - 1)
+
+e = None
+while True:
+    a = random.getrandbits(fi.bit_length() - 1)
+    if fn.fermat(100, a):
+        _, _, d = fn.euklides(a, fi)
+        if d == 1:
+            e = a
+            break
+
+
+d = fn.odwrotnosc(e, fi)
+print("\nKlucz publiczny: ({},\n {})".format(n, e))
+print("\nKlucz tajny: ({}, {})".format(n, d))
+
+
+#szyfrowanie
+m = random.randint(1, 512)
+print("\nWiadomośc: {}".format(m))
+c = fn.potegowanieimod(m, e, n)
+print("\nSzyfrogram: {}".format(c))
+
+
+#odszyfrowanie
+M = fn.potegowanieimod(c, d, n)
+print("\nWiadomość odszyfrowana: {}\n".format(M))
\ No newline at end of file
diff --git a/zajecia3/testowe.py b/zajecia3/testowe.py
new file mode 100644
index 0000000..1bf08d4
--- /dev/null
+++ b/zajecia3/testowe.py
@@ -0,0 +1,14 @@
+import sys
+sys.path.append("../")
+
+import functions.functions as fn
+
+c = 1194024449148901642095200097870055737741645764394744155318695645194596220391443343197027572364026243089002152070134768229865572977202072275964098840721025876961903699837107178456937960769036226808529625975259747392533732677170542802757258980865413340360159618466950580761168296729593382939093152458632579807462168306693685058458109946909424522629476866018486300768172119332072738020220096063821408769836161596668177421022164759936875707676886053295432123403900793891136494095488406192842296217375007110677424647572379883138029436045378765616434346276790888927916404956009509484434114877972302768109847
+
+d = 44172166664316348618184176869841529130125229257274245655212364632114548140974575751803935492101214210349057569007558651942740773243587655474183506994622943062602636333215858034182100779227210047231793514705323804472916623002482317841498373311321562419819278686569667913165742033122259784921734617682
+
+n = 3490883977143252259982384869391866343672985433713547441739689121492674315619580156830620326021421471792926011913651839538684958739735100518286394257159090517265115820506822274157397650474074752645311314258176271561685463992191717804891559250609466279443046524956709382997523640335221229619946221067286482010901829387658904241388693494999300615059965292460448560270456473127070077286237984616794336775697861678085567236666894286408386466385344576002768829158953193122127573651343254040156954992093901684632064068184042356933091345978630925116597494256095547989334592457862346351113558398240600445500393
+
+
+M = fn.potegowanieimod(c, d, n)
+print("\nWiadomość odszyfrowana: {}\n".format(M))
\ No newline at end of file