Question

Can bet ...this would be it most difficult question in it life....Largest prime factor of 7^2000+7^2011+7^2012

Answer 1

[0010001111]... Hello User... [1001010101]
Here's your answer...

Nit really that difficult, once you figure it out.

${7}^{2000} + {7}^{2011} + {7}^{2012} \\ taking \: {7}^{2000 } as \: common \\ {7}^{2000} (1 + {7}^{11} + {7}^{12} )$

Since 7^2000 is nothing but 7 multiplied by itself 2000 times, the biggest prime factor of this number is 7.

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