Controlling Delay with a potentiometer

Please post your code with code tags.. Like this:

int potMin = 0;    // potentiometer minute time
int potHours = 1;    // potentiometer hours time
int ledMin = 12;     // select the pin for the minute LED
int ledHours = 11;     // select the pin for the hours LED
int Minute = 0;    // variable to store the value coming from the sensor
int Hours = 0;    // variable to store the value coming from the sensor


void setup() {
  pinMode(ledMin, OUTPUT);                // declare the ledPin as an OUTPUT
  pinMode(ledHours, OUTPUT);             // declare the ledPin as an OUTPUT
  Serial.begin(9600);
}

void loop() {
  Minute = analogRead(potMin);            // read the value from the Minute  sensor
  Hours = analogRead(potHours);        // read the value from the Hours sensor
 
  Serial.print("Min sensor = ");          // print the value from the Minute sensor
  Serial.print(Minute);  
  Serial.print("\t Time in min = ");      // print the convertion in minuts       
  Minute = map( Minute, 0,1023, 10000, 122400);  // 2 minut max so 0 will be 10 secound and 1020 will be 2 min .
  Serial.println(Minute);           
  
  Serial.print("Hours sensor = ");           // print the value from the Hours sensor 
  Serial.print(Hours);  
  Serial.print("\tTime in hours = ");           // print the convertion in hours
  Hours = map( Hours, 0, 1023,1841400,22096800  );
  Serial.println(Hours);           // 1841400 is equal to 30 minutes and 22096800 is equal to 6 hours.
  Serial.println(" ");


   digitalWrite(ledMin, LOW);          // turn the led min  ON
   digitalWrite(ledHours, HIGH);          // turn the led hours OFF
   delay(Minute);  

   digitalWrite(ledMin, HIGH);         // turn the led min OFF
   digitalWrite(ledHours, LOW);         // turn the led hours ON
   delay(Hours);              
}

Arduino is 16bit, numbers like "1841400" does not fit in 16 bit (65535 unsigned max). You need to specifically tell the compiler to use longs, or even better - declare them as constants:

//Using constants
const long HOUR_MIN = 1841400;
const long HOUR_MAX = 22096800;
...
Hours = map( Hours, 0, 1023, HOURS_MIN, HOURS_MAX);
...

//Using inline declarations
Hours = map( Hours, 0, 1023, 1841400L, 22096800L); //Note the "L"