Special Pythagorean triplet
          
      
     
    
    
        
        
          
          
              008. Largest product in a series
          
      
     
    
    
        
        
          
          
              
  By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13.
  What is the 10 001st prime number?
          
      
     
    
    
        
        
          
          
              006. Sum square difference
          
      
     
    
    
        
        
          
          
              
  2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder.
  What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20?