103 (number)

| ← 102 103 104 → | | | | --- | --- | --- | | ← 102 | 103 | 104 → | | ← 100 101 102 103 104 105 106 107 108 109 → .mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:"\a0 · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}List of numbersIntegers← 0 100 200 300 400 500 600 700 800 900 → | | | | one hundred three | | | | 103rd(one hundred third) | | | | prime | | | | 27th | | | | ΡΓ´ | | | | .mw-parser-output .roman-numeral{font-family:"Nimbus Roman No9 L","Times New Roman",Times,serif;font-size:118%;line-height:1}.mw-parser-output .roman-numeral-a{border:1px solid}.mw-parser-output .roman-numeral-t{border-top:1px solid}.mw-parser-output .roman-numeral-v{border:solid;border-width:0 1px;padding:0 2px}.mw-parser-output .roman-numeral-h{border:solid;border-width:1px 0}.mw-parser-output .roman-numeral-tv{border:1px solid;border-bottom:none;padding:0 2px}CIII, ciii | | | | 11001112 | | | | 102113 | | | | 2516 | | | | 1478 | | | | 8712 | | | | 6716 | | |

103 (one hundred [and] three) is the natural number following 102 and preceding 104.

103 is a prime number, and the largest prime factor of

    6
    !
    +
    1
    =
    721
    =
    7
    ⋅
    103
  

{\displaystyle 6!+1=721=7\cdot 103}

. The previous prime is 101. This makes 103 a twin prime. It is the fifth irregular prime, because it divides the numerator of the Bernoulli number

      B
      
        24
      
    
    =
    −
    
      
        236364091
        2730
      
    
    =
    −
    
      
        
          103
          ⋅
          2294797
        
        2730
      
    
    .
  

{\displaystyle B_{24}=-{\frac {236364091}{2730}}=-{\frac {103\cdot 2294797}{2730}}.}

The equation

      64
      
        3
      
    
    +
    
      94
      
        3
      
    
    =
    
      103
      
        3
      
    
    +
    1
  

{\displaystyle 64^{3}+94^{3}=103^{3}+1}

makes 103 part of a "Fermat near miss".

There are 103 different connected series-parallel partial orders on exactly six unlabeled elements.

103 is conjectured to be the smallest number for which repeatedly reversing the digits of its ternary representation, and adding the number to its reversal, does not eventually reach a ternary palindrome.