First commit

2026-01-11 09:19:22 +01:00
commit 50f7b1159e
108 changed files with 11791 additions and 0 deletions
@@ -0,0 +1,32 @@
+#!/usr/bin/env python3
+
+from Cryptotools.Utils.utils import gcd
+
+
+def carmi_first_method(n) -> int:
+    coprimes = list()
+    for i in range(1, n):
+        if gcd(i, n) == 1:
+            coprimes.append(i)
+    print(coprimes) 
+    smallest = list()
+    for m in range(1, n):
+        l = 0
+        for a in coprimes:
+            if a ** m % n == 1:
+                l += 1
+        if l == len(coprimes):
+            smallest.append(m)
+    
+    #print(smallest)
+    return min(smallest)
+
+print(f"lambda(12) = {carmi_first_method(12)}")
+print(f"lambda(19) = {carmi_first_method(19)}")
+#print(f"lambda(28) = {carmi_first_method(28)}")
+#print(f"lambda(32) = {carmi_first_method(32)}")
+#print(f"lambda(33) = {carmi_first_method(33)}")
+#print(f"lambda(35) = {carmi_first_method(35)}")
+#print(f"lambda(36) = {carmi_first_method(36)}")
+#print(f"lambda(135) = {carmi_first_method(135)}")
+#print(f"lambda(1200) = {carmi_first_method(1200)}")