Mathematics
         
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Mathematical calculation:
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    Current location:Mathematical operation > History of Mathematical Computation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation (2+1)*((2^2)+1)*((2^4)+1)*((2^8)+1)+1 .
    Question type: Mathematical calculation
    Solution:
          (2+1)*((2^2)+1)*((2^4)+1)*((2^8)+1)+1
        =3*((2^2)+1)*((2^4)+1)*((2^8)+1)+1
        =3*(4+1)*((2^4)+1)*((2^8)+1)+1
        =3*5*((2^4)+1)*((2^8)+1)+1
        =3*5*(16+1)*((2^8)+1)+1
        =3*5*17*((2^8)+1)+1
        =3*5*17*(256+1)+1
        =3*5*17*257+1
        =15*17*257+1
        =255*257+1
        =65535+1
        =65536

    Answer:(2+1)*((2^2)+1)*((2^4)+1)*((2^8)+1)+1=65536


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