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Kaya Renger Coordinator

29/09/2017 at 20:18
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Compact : 

P = 12(52 + 1)(54 + 1)(58 + 1)(516 + 1)

 




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    Ngô Tấn Đạt 29/09/2017 at 20:25

    \(P=12\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\\ \Rightarrow2.P=\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\\ \Rightarrow2.P=\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\\ =\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\\ =\left(5^{16}-1\right)\left(5^{16}+1\right)\\ =5^{32}-1\\ \Rightarrow P=\dfrac{5^{32}-1}{2}\)

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