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2017's Introduction

Some trivia regarding the number 2017

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Is 2017 the smallest natural number whose cube root begins with 10 distinct digits?

Yes, it is 12.63480759...
from https://www.reddit.com/r/math/comments/5lafie/2017_is_prime/dbu60yn/

Is 2017 the smallest natural number able to be expressed as a multi-digit palindrome in two consecutive bases?

No, there are 118 such natural numbers before 2017.
from https://www.reddit.com/r/math/comments/5lafie/2017_is_prime/dbubmao/

Is 2017 the smallest prime congruent to 2 mod 31 that can be written a^2 + 24b^2 for some integers a, b?

Yes, with a = 29 and b = 7.
from http://math.stackexchange.com/a/2077132

Find numbers that satisfy phi(n) = phi(n - 1) + phi(n - 2), where phi is the Euler totient function.

2017 is the 20th such number.
from http://www2.stetson.edu/~efriedma/numbers.html

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