Happy New Year!           2013



     2013 = 56931593^3 - 56931589^3 - 338815^3
     
          = (668/3)^3 + (-302093567/1356789)^3 + (1356762/452263)^3

          = (674/3)^3 + (-302093621/1344711)^3 + (-1344684/448237)^3

          = (   3296583/680)^4 + ( 3297263/1360)^4 - (   3296663/680)^4 - ( 3295983/1360)^4

          = (138737893/6560)^4 + (46248151/6560)^4 - (138738053/6560)^4 - (46243831/6560)^4
          
          = (-27936589851922852238642380739/45837364019255574528000)^5 + (-79006013949792335065566412739/5729670502406946816000)^5
          + (-77503969368245349143858380739/716208812800868352000)^5   - (-124064509479632718871186636739/45837364019255574528000)^5
          - (-75999082870129169376529612739/5729670502406946816000)^5  - (-77504061042973387655007436739/716208812800868352000)^5