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201 7 46 46 2017^{46} - 46 Is the above number prime?

no yes

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1 solution

Maggie Miller
Aug 1, 2015

2017 46 1 ( m o d 3 ) 2017\equiv46\equiv1\pmod{3} . Therefore,

201 7 46 46 1 46 1 0 ( m o d 3 ) 2017^{46}-46\equiv1^{46}-1\equiv 0\pmod{3} .

Thus, 201 7 46 46 2017^{46}-46 is divisible by 3 (but is certainly not equal to three), so it is not prime.

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