Trollathon #3.2 : A Function

Number Theory Level pending

Let $f$ be an integer.-valued function.

If $f(2) = 2014^{2014}$ , determine $f(2017)$ mod $2014^2$ .

The answer is 0.

1 solution

Zi Song Yeoh
Apr 4, 2014

Note the full stop between integer and -valued. So, the problem reads "Let $f$ be an integer." Now, we find that $f = \frac{2014^{2014}}{2}$ . So, $f(2017) = 2017f \equiv 0 \pmod{2014^2}$ .

Wow lol.

Joshua Ong - 7 years, 2 months ago

I didn't read the first line at all and assumed that the function yields a constant. Same answer! :D

Kenny Lau - 6 years, 11 months ago

Trollathon #3.2 : A Function

The answer is 0.

1 solution

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