# 2017

This number is a prime.

A total solar eclipse took place in the continental United States on August 21, 2017. The longest duration of totality occurred over Christian County, Kentucky.

The number of five-digit primes with exactly one zero. [Merickel]

sin(2017 times the 5th root of 2) is almost an integer.

The 11th of January 2017 produces the highest number of primes (five) for any day of this year: 1/11/2017, 11/1/2017, 11/01/2017, 1/11/17, 11/1/17. [Forouhari]

The smallest prime number for which the sum of the squares of the digits of its cube (8205738913) equals its prime index (64+4+0+25+49+9+64+81+1+9 = 306). [Gaydos]

The smallest prime which is the sum of 2017 primes is the sum of the first 2018 odd primes minus the 2017-th prime. [Hasler]

2017 = (10*9*8*7*6)/(5+4+3*2)+1. [Taneja]

The book "Closing the Gap: The Quest to Understand Prime Numbers" (Oxford University Press, 2017) by Vicky Neale, details one of the most exciting developments to happen in the last few years in mathematics, a new approach to the Twin Primes Conjecture.

The smallest number *N* such that *N*^{⅓}
has a decimal expansion starting with a pandigital:
^{3}√2017
= __12.63480759__3300104457... [Beedassy]

A prime of the form a²-b³=(a-1)²+(b+1)⁴, where a=45 and b=2. [Malecot]

"Arithmetic can be a gateway drug for mathematics." – Paul
Lockhart, *Arithmetic*, 2017.