BARS::Lots of Highway Signs on Route 66 in Flagstaff, Arizona

These highway signs are along Route 66 (Business I-40) in Flagstaff, Arizona.

The highway signs say...

   +----------------+
   | To East   I-40 |
   | To North US-89 |
   | East    US-180 |
   | Arizona  US-66 |
   | Business  I-40 |
   | To South  I-17 |
   | To West   I-40 |
   +----------------+
   the numbers are:  17  40  40  40  66  89  180

   the math is:  mode(17, 40, 40, 66, 89, 180) = 40

   off-by-one math:  (180 % 89)^(40 % 17) + 180 % 89 + 40 / 40 = 66+1

   rsAgeEval:  66 + 40 - 40 - (180 % 17) + sqrt(89 % 40) = 59
   * RoadHacker was 59 years young when he found these highway signs.

   rsStateEval:  180 % 66 + 40 % 17 - sqrt(89 - 40 - 40)! = 48
   * Arizona was the 48th state admitted to the Union.

   rsHwyEval:  median(17, 40, 40, 40, 66, 89, 180) = 40
   * This highway signs are on Business I-40

   off-by-one rsAgeEval:  180 % 66 + 40 % 17 + sqrt(89 - 40 - 40)! = 59+1
   * RoadHacker was 59 years young when he found these highway signs.

   ...playground...

   180 % 66 = 48;  180 % 89 = 2;  180 % 40 = 20;  180 % 17 = 10
    89 % 40 = 9;  66 % 17 = 15;   40 % 17 = 6

   180, 66, and 40 are composite numbers

   * spf(n) = the sum of the prime factors of n;
     domain: n must be a composite number
   ...spf(180) = 2+2+3+3+5 = 15
   ...spf(66) = 2+3+11 = 16
   ...spf(40) = 2+2+2+5 = 11 

   17 and 89 are prime numbers

   * sum_digits(n) = sum the digits of n
     domain:  n must be a prime number
   ...sum_digits(17) = 8
   ...sum_digits(89) = 17

   * mult_digits(n) = product of the digits of n
     domain:  n must be a prime number
   ...mult_digits(17) = 7
   ...mult_digits(89) = 72

   * reverse_digits(n) = the digits of n reversed
     domain:  n must be a prime number
   ...reverse_digits(17) = 71 (71 is prime)
   ...reverse_digits(89) = 98

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 27 September 2016

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This work is licensed under a Creative Commons Attribution 3.0 United States License.