n-digit numbers whose 4th powers end with the same n digits

 
 

                  25^4=3906\underline{25}
                 625^4=152587890\underline{625}
               0625^4=15258789\underline{0625}
             90625^4=674515724182128\underline{90625}
            890625^4=629186689853668212\underline{890625}
           2890625^4=6981793791055679321\underline{2890625}
          12890625^4=276118749752640724182\underline{12890625}
         212890625^4=2054121592664159834384918\underline{212890625}
        8212890625^4=454971462168941798154264688491\underline{8212890625}
       18212890625^4=1100311160428191215032711625099\underline{18212890625}
     918212890625^4=710842755696607042636969708837568759\underline{918212890625}
   9918212890625^4=967684320261202879365214357676450163125\underline{9918212890625}
  59918212890625^4=128894802914796283155318690205604070797562\underline{59918212890625}
259918212890625^4=4564012751605215668926351924028494977392256\underline{259918212890625}
……………………………………………………………
……………………………………………………………

 

              76^4=333621\underline{76}
             376^4=19987173\underline{376}
            9376^4=772805838870\underline{9376}
           09376^4=77280583887\underline{09376}
          109376^4=143115985942139\underline{109376}
         7109376^4=255461780662996100466\underline{7109376}
        87109376^4=575784024446543314360049\underline{87109376}
       787109376^4=383831261061179887495342257\underline{787109376}
      1787109376^4=1020010243801360299864377976\underline{1787109376}
     81787109376^4=447444770146033570199907705187800\underline{81787109376}
    081787109376^4=44744477014603357019990770518780\underline{081787109376}
   0081787109376^4=4474447701460335701999077051878\underline{0081787109376}
  40081787109376^4=25810018032386508619676253698330767080189\underline{40081787109376}
740081787109376^4=299998350377868204506792981451202062080614271\underline{740081787109376}
………………………………………………………..
………………………………………………………..

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
This entry was posted in Number Puzzles and tagged . Bookmark the permalink.

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