This is related to the fact that the symmetric group 
  
    
      
        
          
            S
          
          
            n
          
        
      
    
    {\displaystyle \mathrm {S} _{n}}
   is a solvable group for n ⩽ 4 and not solvable for n ⩾ 5.
The Witt design and the extended binary Golay code in turn can be used to generate a faithful construction of the 24-dimensional Leech lattice Λ24, which is the subject of the second generation of seven sporadic groups that are subquotients of the automorphism of the Leech lattice, Conway group 
  
    
      
        
          
            C
            o
          
          
            0
          
        
      
    
    {\displaystyle \mathrm {Co} _{0}}
  . There are five non-supersingular primes: 37, 43, 53, 61, and 67, all smaller than the largest of fifteen supersingular prime divisors of the friendly giant, 71. List of basic calculations
In decimal
5 is the only prime number to end in the digit 5 in decimal because all other numbers written with a 5 in the ones place are multiples of five, which makes it a 1-automorphic number.