邦泽不等式
邦澤不等式（英語：Bonse's inequality）為數論中的不等式，得名自 H・邦澤，有關質數階乘和未在其質因數分解中出現的最小質數之間的大小關係。若 p1, ..., pn, pn+1 為最小 n + 1 個質數，且 n ≥ 4，則

  
    
      
        
          p
          
            n
            +
            1
          
          
            2
          
        
        <
        
          p
          
            1
          
        
        ⋯
        
          p
          
            n
          
        
        
      
    
    {\displaystyle p_{n+1}^{2}<p_{1}\cdots p_{n}\,}
  
以下列出一些質數之間的關係，前四行不在邦澤不等式的範圍內

  
    
      
        
          4
          =
          
            2
            
              2
            
          
          >
          0
        
      
    
    {\displaystyle {4=2^{2}>0}}
  

  
    
      
        
          9
          =
          
            3
            
              2
            
          
          >
          2
          =
          2
        
      
    
    {\displaystyle {9=3^{2}>2=2}}
  

  
    
      
        
          25
          =
          
            5
            
              2
            
          
          >
          2
          ⋅
          3
          =
          6
        
      
    
    {\displaystyle {25=5^{2}>2\cdot 3=6}}
  

  
    
      
        
          49
          =
          
            7
            
              2
            
          
          >
          2
          ⋅
          3
          ⋅
          5
          =
          30
        
      
    
    {\displaystyle {49=7^{2}>2\cdot 3\cdot 5=30}}
  
  
    
      
        
          121
          =
          
            11
            
              2
            
          
          <
          2
          ⋅
          3
          ⋅
          5
          ⋅
          7
          =
          210
        
      
    
    {\displaystyle {121=11^{2}<2\cdot 3\cdot 5\cdot 7=210}}
  

  
    
      
        
          169
          =
          
            13
            
              2
            
          
          <
          2
          ⋅
          3
          ⋅
          5
          ⋅
          7
          ⋅
          11
          =
          2310
        
      
    
    {\displaystyle {169=13^{2}<2\cdot 3\cdot 5\cdot 7\cdot 11=2310}}
  

  
    
      
        
          289
          =
          
            17
            
              2
            
          
          <
          2
          ⋅
          3
          ⋅
          5
          ⋅
          7
          ⋅
          11
          ⋅
          13
          =
          30030
        
      
    
    {\displaystyle {289=17^{2}<2\cdot 3\cdot 5\cdot 7\cdot 11\cdot 13=30030}}
  ……