Friday!

Number Theory Level 2

Today is Friday, what day would it be 7 8 9 10 11 {7}^{ {8}^{ {9}^{ {10}^{11} } } } days from now?

Thursday Tuesday Sarturday Wednesday Monday Friday Sunday

Franz Louis Cesista by Franz Louis Cesista , 22, Philippines

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1 solution

Mohit Gupta
Nov 28, 2015

7 x ( m o d 7 ) 7^{x} (mod7) =0

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Mohit Gupta,

7 x ( m o d 7 ) = 0 { 7 }^{ x }\quad (mod\quad 7)\quad =\quad 0

So yeah, it's still Friday :)

Franz Louis Cesista - 5 years, 6 months ago

Note: x > 0 x > 0

Arulx Z - 5 years, 6 months ago

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