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 N⅓
has a decimal expansion starting with a pandigital:
3√2017
= 12.634807593300104457... [Beedassy]
The primes prior to and next to 2017 are respectively 2017
+ (2-0-1-7) and 2017 + (2+0+1+7). [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.
"Prime Curios!" is cited in the August 2017 issue of Newton,
a graphic science magazine published in Japan.
2017 is the only 4-digit prime anagram of digit tetrad {0,1,2,7}. Note that (20+17) is the lesser member of the (20-17)rd
emirp pair whose product is an anagram of 2017. [Worrom]