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index 24db386..081d929 100644
Binary files a/fordulo_3/Program/.vs/Program/CopilotIndices/17.13.431.34963/CodeChunks.db and b/fordulo_3/Program/.vs/Program/CopilotIndices/17.13.431.34963/CodeChunks.db differ
diff --git a/fordulo_3/Program/.vs/Program/CopilotIndices/17.13.431.34963/SemanticSymbols.db b/fordulo_3/Program/.vs/Program/CopilotIndices/17.13.431.34963/SemanticSymbols.db
index ee323f4..d578a75 100644
Binary files a/fordulo_3/Program/.vs/Program/CopilotIndices/17.13.431.34963/SemanticSymbols.db and b/fordulo_3/Program/.vs/Program/CopilotIndices/17.13.431.34963/SemanticSymbols.db differ
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index 0000000..674963b
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deleted file mode 100644
index a672cfd..0000000
Binary files a/fordulo_3/Program/.vs/Program/FileContentIndex/628ed0ad-8049-492c-95bc-a594579de0f6.vsidx and /dev/null differ
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index 0000000..84e0ebe
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diff --git a/fordulo_3/Program/.vs/Program/FileContentIndex/a700aa66-caff-4d72-90c9-2cec60b33973.vsidx b/fordulo_3/Program/.vs/Program/FileContentIndex/a700aa66-caff-4d72-90c9-2cec60b33973.vsidx
new file mode 100644
index 0000000..70aef67
Binary files /dev/null and b/fordulo_3/Program/.vs/Program/FileContentIndex/a700aa66-caff-4d72-90c9-2cec60b33973.vsidx differ
diff --git a/fordulo_3/Program/.vs/Program/copilot-chat/f9c248b7/sessions/60af910b-f53a-4808-9b09-d87c835f0707 b/fordulo_3/Program/.vs/Program/copilot-chat/f9c248b7/sessions/60af910b-f53a-4808-9b09-d87c835f0707
index 59db6a5..ccc7347 100644
Binary files a/fordulo_3/Program/.vs/Program/copilot-chat/f9c248b7/sessions/60af910b-f53a-4808-9b09-d87c835f0707 and b/fordulo_3/Program/.vs/Program/copilot-chat/f9c248b7/sessions/60af910b-f53a-4808-9b09-d87c835f0707 differ
diff --git a/fordulo_3/Program/.vs/Program/v17/.suo b/fordulo_3/Program/.vs/Program/v17/.suo
index e4af5b9..b5b323e 100644
Binary files a/fordulo_3/Program/.vs/Program/v17/.suo and b/fordulo_3/Program/.vs/Program/v17/.suo differ
diff --git a/fordulo_3/Program/.vs/Program/v17/DocumentLayout.backup.json b/fordulo_3/Program/.vs/Program/v17/DocumentLayout.backup.json
index 7b1802f..b447ecf 100644
--- a/fordulo_3/Program/.vs/Program/v17/DocumentLayout.backup.json
+++ b/fordulo_3/Program/.vs/Program/v17/DocumentLayout.backup.json
@@ -2,13 +2,13 @@
   "Version": 1,
   "WorkspaceRootPath": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\",
   "Documents": [
-    {
-      "AbsoluteMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|e:\\h\u00E1zi\\13.oszt\u00E1ly\\neumann_verseny\\fordulo_3\\program\\sorozat.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}",
-      "RelativeMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|solutionrelative:sorozat.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}"
-    },
     {
       "AbsoluteMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\program.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}",
       "RelativeMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|solutionrelative:program.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}"
+    },
+    {
+      "AbsoluteMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|e:\\h\u00E1zi\\13.oszt\u00E1ly\\neumann_verseny\\fordulo_3\\program\\permutationgenerator.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}",
+      "RelativeMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|solutionrelative:permutationgenerator.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}"
     }
   ],
   "DocumentGroupContainers": [
@@ -18,32 +18,33 @@
       "DocumentGroups": [
         {
           "DockedWidth": 200,
-          "SelectedChildIndex": 0,
+          "SelectedChildIndex": 2,
           "Children": [
             {
               "$type": "Document",
-              "DocumentIndex": 0,
-              "Title": "Sorozat.cs",
-              "DocumentMoniker": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Sorozat.cs",
-              "RelativeDocumentMoniker": "Sorozat.cs",
-              "ToolTip": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Sorozat.cs",
-              "RelativeToolTip": "Sorozat.cs",
-              "ViewState": "AgIAABwAAAAAAAAAAAAYwCMAAAAaAAAAAAAAAA==",
+              "DocumentIndex": 1,
+              "Title": "PermutationGenerator.cs",
+              "DocumentMoniker": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\PermutationGenerator.cs",
+              "RelativeDocumentMoniker": "PermutationGenerator.cs",
+              "ToolTip": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\PermutationGenerator.cs",
+              "RelativeToolTip": "PermutationGenerator.cs",
+              "ViewState": "AgIAAAAAAAAAAAAAAAAAABMAAAA8AAAAAAAAAA==",
               "Icon": "ae27a6b0-e345-4288-96df-5eaf394ee369.000738|",
-              "WhenOpened": "2025-03-12T12:59:58.311Z",
+              "WhenOpened": "2025-03-12T17:31:40.758Z",
               "EditorCaption": ""
             },
             {
               "$type": "Document",
-              "DocumentIndex": 1,
+              "DocumentIndex": 0,
               "Title": "Program.cs",
               "DocumentMoniker": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Program.cs",
               "RelativeDocumentMoniker": "Program.cs",
               "ToolTip": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Program.cs",
               "RelativeToolTip": "Program.cs",
-              "ViewState": "AgIAAAAAAAAAAAAAAAAAAA4AAAAzAAAAAAAAAA==",
+              "ViewState": "AgIAAAMAAAAAAAAAAAAwwBQAAAA6AAAAAAAAAA==",
               "Icon": "ae27a6b0-e345-4288-96df-5eaf394ee369.000738|",
-              "WhenOpened": "2025-03-12T12:54:16.847Z"
+              "WhenOpened": "2025-03-12T12:54:16.847Z",
+              "EditorCaption": ""
             }
           ]
         }
diff --git a/fordulo_3/Program/.vs/Program/v17/DocumentLayout.json b/fordulo_3/Program/.vs/Program/v17/DocumentLayout.json
index 7b1802f..b447ecf 100644
--- a/fordulo_3/Program/.vs/Program/v17/DocumentLayout.json
+++ b/fordulo_3/Program/.vs/Program/v17/DocumentLayout.json
@@ -2,13 +2,13 @@
   "Version": 1,
   "WorkspaceRootPath": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\",
   "Documents": [
-    {
-      "AbsoluteMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|e:\\h\u00E1zi\\13.oszt\u00E1ly\\neumann_verseny\\fordulo_3\\program\\sorozat.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}",
-      "RelativeMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|solutionrelative:sorozat.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}"
-    },
     {
       "AbsoluteMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\program.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}",
       "RelativeMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|solutionrelative:program.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}"
+    },
+    {
+      "AbsoluteMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|e:\\h\u00E1zi\\13.oszt\u00E1ly\\neumann_verseny\\fordulo_3\\program\\permutationgenerator.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}",
+      "RelativeMoniker": "D:0:0:{6A74A9DE-500D-46FF-859A-18F4A752D2A5}|Program.csproj|solutionrelative:permutationgenerator.cs||{A6C744A8-0E4A-4FC6-886A-064283054674}"
     }
   ],
   "DocumentGroupContainers": [
@@ -18,32 +18,33 @@
       "DocumentGroups": [
         {
           "DockedWidth": 200,
-          "SelectedChildIndex": 0,
+          "SelectedChildIndex": 2,
           "Children": [
             {
               "$type": "Document",
-              "DocumentIndex": 0,
-              "Title": "Sorozat.cs",
-              "DocumentMoniker": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Sorozat.cs",
-              "RelativeDocumentMoniker": "Sorozat.cs",
-              "ToolTip": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Sorozat.cs",
-              "RelativeToolTip": "Sorozat.cs",
-              "ViewState": "AgIAABwAAAAAAAAAAAAYwCMAAAAaAAAAAAAAAA==",
+              "DocumentIndex": 1,
+              "Title": "PermutationGenerator.cs",
+              "DocumentMoniker": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\PermutationGenerator.cs",
+              "RelativeDocumentMoniker": "PermutationGenerator.cs",
+              "ToolTip": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\PermutationGenerator.cs",
+              "RelativeToolTip": "PermutationGenerator.cs",
+              "ViewState": "AgIAAAAAAAAAAAAAAAAAABMAAAA8AAAAAAAAAA==",
               "Icon": "ae27a6b0-e345-4288-96df-5eaf394ee369.000738|",
-              "WhenOpened": "2025-03-12T12:59:58.311Z",
+              "WhenOpened": "2025-03-12T17:31:40.758Z",
               "EditorCaption": ""
             },
             {
               "$type": "Document",
-              "DocumentIndex": 1,
+              "DocumentIndex": 0,
               "Title": "Program.cs",
               "DocumentMoniker": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Program.cs",
               "RelativeDocumentMoniker": "Program.cs",
               "ToolTip": "E:\\H\u00E1zi\\13.oszt\u00E1ly\\Neumann_Verseny\\fordulo_3\\Program\\Program.cs",
               "RelativeToolTip": "Program.cs",
-              "ViewState": "AgIAAAAAAAAAAAAAAAAAAA4AAAAzAAAAAAAAAA==",
+              "ViewState": "AgIAAAMAAAAAAAAAAAAwwBQAAAA6AAAAAAAAAA==",
               "Icon": "ae27a6b0-e345-4288-96df-5eaf394ee369.000738|",
-              "WhenOpened": "2025-03-12T12:54:16.847Z"
+              "WhenOpened": "2025-03-12T12:54:16.847Z",
+              "EditorCaption": ""
             }
           ]
         }
diff --git a/fordulo_3/Program/PermutationGenerator.cs b/fordulo_3/Program/PermutationGenerator.cs
new file mode 100644
index 0000000..34016da
--- /dev/null
+++ b/fordulo_3/Program/PermutationGenerator.cs
@@ -0,0 +1,73 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace Program
+{
+    class PermutationGenerator
+    {
+        public Dictionary<string, List<int[]>> GroupedPermutations { get; private set; }
+        private HashSet<string> uniquePermutations;
+
+        public PermutationGenerator()
+        {
+            GroupedPermutations = new Dictionary<string, List<int[]>>();
+            uniquePermutations = new HashSet<string>();
+        }
+
+        public void GeneratePermutations(int[] digits, int length)
+        {
+            GeneratePermutations(digits, new int[length], 0);
+        }
+
+        private void GeneratePermutations(int[] digits, int[] current, int index)
+        {
+            if (index == current.Length)
+            {
+                if (current[0] != 0) // Avoid permutations starting with 0
+                {
+                    AddPermutation(current);
+                }
+                return;
+            }
+
+            for (int i = 0; i < digits.Length; i++)
+            {
+                current[index] = digits[i];
+                GeneratePermutations(digits, current, index + 1);
+            }
+        }
+
+        private void AddPermutation(int[] permutation)
+        {
+            var key = string.Concat(permutation.OrderBy(x => x));
+            var permutationString = string.Join("", permutation);
+
+            if (!uniquePermutations.Contains(permutationString))
+            {
+                uniquePermutations.Add(permutationString);
+
+                if (!GroupedPermutations.ContainsKey(key))
+                {
+                    GroupedPermutations[key] = new List<int[]>();
+                }
+                GroupedPermutations[key].Add((int[])permutation.Clone());
+            }
+        }
+
+        public void PrintGroupedPermutations()
+        {
+            foreach (var group in GroupedPermutations)
+            {
+                Console.WriteLine($"Group: {group.Key}");
+                foreach (var permutation in group.Value)
+                {
+                    Console.WriteLine(string.Join("", permutation));
+                }
+                Console.WriteLine();
+            }
+        }
+    }
+}
diff --git a/fordulo_3/Program/Program.cs b/fordulo_3/Program/Program.cs
index a7532d2..e2294c2 100644
--- a/fordulo_3/Program/Program.cs
+++ b/fordulo_3/Program/Program.cs
@@ -10,9 +10,133 @@ namespace Program
     {
         static void Main(string[] args)
         {
-            Sorozat.ComputeCollatz(1000000);
+            List<int> primes = new List<int>();
 
-            Sorozat.CollatzLengthWithPrint(837799);
+            for (int i = 1000; i < 10000; i++)
+            {
+                if (IsPrime(i))
+                {
+                    primes.Add(i);
+                    string result = string.Join("", GetSortedDigits(i));
+                    Console.WriteLine($"({i},{result}),");
+                }
+            }
+
+            List<int[]> primesWithDecimalValuesOrdered = new List<int[]>();
+
+            foreach (int i in primes)
+            {
+                primesWithDecimalValuesOrdered.Add(GetSortedDigits(i));
+            }
+
+            var keyValuePairs = primesWithDecimalValuesOrdered
+                .GroupBy(x => x, new IntArrayComparer())
+                .Select(g => new KeyValuePair<int[], int>(g.Key, g.Count()))
+                .Where(kvp => kvp.Value >= 6)
+                .ToList().Count();
+
+            // Print the key-value pairs
+            /*
+            foreach (var kvp in keyValuePairs)
+            {
+                Console.WriteLine($"Key: {string.Join("", kvp.Key)}, Value: {kvp.Value}");
+            }
+            */
+
+            Console.WriteLine(keyValuePairs);
+
+
+
+
+
+            int[] digits = { 0, 1, 2, 2, 3, 3, 4, 5, 6, 7, 8, 9 };
+            int length = 4;
+
+            PermutationGenerator generator = new PermutationGenerator();
+            generator.GeneratePermutations(digits, length);
+            //generator.PrintGroupedPermutations();
+
+            // Get groups with at least 6 primes
+            var groupsWithAtLeast6Primes = generator.GroupedPermutations
+                .Where(group => group.Value.Count(permutation => IsPrime(int.Parse(string.Join("", permutation)))) >= 6)
+                .ToList();
+
+            // Print the groups with at least 6 primes
+            foreach (var group in groupsWithAtLeast6Primes)
+            {
+                Console.WriteLine($"Group: {group.Key}");
+                foreach (var permutation in group.Value)
+                {
+                    Console.WriteLine(string.Join("", permutation));
+                }
+                Console.WriteLine();
+            }
+
+
+        }
+
+        static int[] GetSortedDigits(int number)
+        {
+            // Convert the number to a string to access each digit
+            string numberString = number.ToString();
+
+            // Convert each character to an integer
+            int[] digits = numberString.Select(c => int.Parse(c.ToString())).ToArray();
+
+            // Sort the array of integers
+            Array.Sort(digits);
+
+            return digits;
+        }
+
+        static bool IsPrime(int number)
+        {
+            if (number <= 1) return false;
+            if (number == 2) return true;
+            if (number % 2 == 0) return false;
+
+            int boundary = (int)Math.Floor(Math.Sqrt(number));
+
+            for (int i = 3; i <= boundary; i += 2)
+            {
+                if (number % i == 0) return false;
+            }
+
+            return true;
+        }
+    }
+
+    class IntArrayComparer : IEqualityComparer<int[]>
+    {
+        public bool Equals(int[] x, int[] y)
+        {
+            if (x == null || y == null)
+                return false;
+
+            if (x.Length != y.Length)
+                return false;
+
+            for (int i = 0; i < x.Length; i++)
+            {
+                if (x[i] != y[i])
+                    return false;
+            }
+
+            return true;
+        }
+
+        public int GetHashCode(int[] obj)
+        {
+            if (obj == null)
+                return 0;
+
+            int hash = 17;
+            foreach (int i in obj)
+            {
+                hash = hash * 31 + i;
+            }
+
+            return hash;
         }
     }
 }
diff --git a/fordulo_3/Program/Program.csproj b/fordulo_3/Program/Program.csproj
index 4c5b7d0..803e089 100644
--- a/fordulo_3/Program/Program.csproj
+++ b/fordulo_3/Program/Program.csproj
@@ -43,6 +43,7 @@
     <Reference Include="System.Xml" />
   </ItemGroup>
   <ItemGroup>
+    <Compile Include="PermutationGenerator.cs" />
     <Compile Include="Program.cs" />
     <Compile Include="Properties\AssemblyInfo.cs" />
     <Compile Include="Sorozat.cs" />
diff --git a/fordulo_3/Program/bin/Debug/Program.exe b/fordulo_3/Program/bin/Debug/Program.exe
index 4d4c73e..84d4dd3 100644
Binary files a/fordulo_3/Program/bin/Debug/Program.exe and b/fordulo_3/Program/bin/Debug/Program.exe differ
diff --git a/fordulo_3/Program/bin/Debug/Program.pdb b/fordulo_3/Program/bin/Debug/Program.pdb
index d2817df..7ded619 100644
Binary files a/fordulo_3/Program/bin/Debug/Program.pdb and b/fordulo_3/Program/bin/Debug/Program.pdb differ
diff --git a/fordulo_3/Program/obj/Debug/Program.csproj.CoreCompileInputs.cache b/fordulo_3/Program/obj/Debug/Program.csproj.CoreCompileInputs.cache
index 174d581..470f2e3 100644
--- a/fordulo_3/Program/obj/Debug/Program.csproj.CoreCompileInputs.cache
+++ b/fordulo_3/Program/obj/Debug/Program.csproj.CoreCompileInputs.cache
@@ -1 +1 @@
-52261ac204714890afe2467c25b9765789d39c141c743f2c478f13be997c8941
+0f60ae438c65b1815603680249bf9a5d03a307c39118102277870be2ddb77ab4
diff --git a/fordulo_3/Program/obj/Debug/Program.exe b/fordulo_3/Program/obj/Debug/Program.exe
index 4d4c73e..84d4dd3 100644
Binary files a/fordulo_3/Program/obj/Debug/Program.exe and b/fordulo_3/Program/obj/Debug/Program.exe differ
diff --git a/fordulo_3/Program/obj/Debug/Program.pdb b/fordulo_3/Program/obj/Debug/Program.pdb
index d2817df..7ded619 100644
Binary files a/fordulo_3/Program/obj/Debug/Program.pdb and b/fordulo_3/Program/obj/Debug/Program.pdb differ
diff --git a/fordulo_3/primek.sql b/fordulo_3/primek.sql
new file mode 100644
index 0000000..2219f4b
--- /dev/null
+++ b/fordulo_3/primek.sql
@@ -0,0 +1,1064 @@
+select id, COUNT(*) as `asd` from primek group by ordered Having asd > 5 order by asd desc;
+
+insert into primek VALUES
+(1009,0019),
+(1013,0113),
+(1019,0119),
+(1021,0112),
+(1031,0113),
+(1033,0133),
+(1039,0139),
+(1049,0149),
+(1051,0115),
+(1061,0116),
+(1063,0136),
+(1069,0169),
+(1087,0178),
+(1091,0119),
+(1093,0139),
+(1097,0179),
+(1103,0113),
+(1109,0119),
+(1117,1117),
+(1123,1123),
+(1129,1129),
+(1151,1115),
+(1153,1135),
+(1163,1136),
+(1171,1117),
+(1181,1118),
+(1187,1178),
+(1193,1139),
+(1201,0112),
+(1213,1123),
+(1217,1127),
+(1223,1223),
+(1229,1229),
+(1231,1123),
+(1237,1237),
+(1249,1249),
+(1259,1259),
+(1277,1277),
+(1279,1279),
+(1283,1238),
+(1289,1289),
+(1291,1129),
+(1297,1279),
+(1301,0113),
+(1303,0133),
+(1307,0137),
+(1319,1139),
+(1321,1123),
+(1327,1237),
+(1361,1136),
+(1367,1367),
+(1373,1337),
+(1381,1138),
+(1399,1399),
+(1409,0149),
+(1423,1234),
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diff --git a/megoldasok.md b/megoldasok.md
index 1a7c3dd..5d302b9 100644
--- a/megoldasok.md
+++ b/megoldasok.md
@@ -48,7 +48,7 @@
 - `837799|524`
 
 ### 3. feladat
-- a: ``
+- a: `42`
 - b: ``
 
 ### 4. feladat