### BARS::17 Miles From Bagdad, Arizona

This road sign is on northbound AZ Hwy-97 in Arizona.

The road sign says...

```   +---------------+
| Bagdad     17 |
| Hillside   31 |
+---------------+
```
```   the numbers are:

rsStateEval  17 + 31 = 48
* Arizona was the 48th state admitted to the Union.

AllPrimesRS:  17 and 31 are both prime numbers
AllReversiblePrimesRS:  17 and 31 are reversible primes
* reverse_digits(n) = the digits of n reversed
domain:  n must be a prime number
* reverse_digits(17) = 71 and 71 is prime
* reverse_digits(31) = 13 and 13 is prime

BARSfunc rsCardinalityEval:  sum_digits(17) / sum_digits(31) = 2
* There are two numbers in this road sign.
* sum_digits(n) = sum the digits of n
domain:  n must be a prime number
* sum_digits(17) = 1+7 = 8; sum_digits(31) = 3+1 = 4

BARSfunc rsStateEval:  sum_digits(17) * mult_digits(31)! = 48
* Arizona was the 48th state admitted to the Union.
* mult_digits(n) = product of the digits of n
domain:  n must be a prime number
* mult_digits(31) = 3*1 = 3

BARSfunc off-by-one rsAgeEval:  sum_digits(17) * mult_digits(31)! = 48+1
* RoadHacker was 49 years young when he found this road sign.
Note: MathBabbler created this BARS when he was 58 years young.
road sign did not

BARSfunc rs42Eval:  mult_digits(17) * mult_digits(31)! = 48
* 42 is the "Answer to Life, the Universe, and Everything"
```

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 14 August 2015 