### BARS::4 Miles From Catalina on AZ Hwy-77 in Arizona

This road sign is on southbound AZ Hwy-77 (at its junction with AZ Hwy-79) in Arizona. The picture was taken on 15 March 2013 as part of MathBabber's Pi Day 2013 road trip.

```   +----------------+
| Catalina     4 |
| Oro Valley  11 |
| Tucson      25 |
+----------------+
```
```   the numbers are:  4  11  25

number system math:  114 = sqrt(25)

rsPiEval:  (sqrt(11 + 25)! / 4) degrees = Pi radians
* pi = 3.1415926535897932384626+

rsCardinalityEval:  25 - 11 * sqrt(4) = 3
* This road sign has three numbers.

rsCardinalityEval:  sqrt(11 + 25) / sqrt(4) = 3
* This road sign has three numbers.

rsAgeEval:  sqrt(11 * sqrt(25))^sqrt(4) = 55
* RoadHacker was 55 years young when he found this road sign.

off-by-one rsStateEval:  sqrt(4) * 11 + 25 = 48-1
* Arizona was the 48th state admitted to the Union.

BARSfunc rsStateEval:  sqrt(4) * 25 - sum_digits(11) = 48
* Arizona was the 48th state admitted to the Union.
* sum_digits(n) = sum the digits of n
domain:  n must be a prime number
* 11 is prime; sum_digits(11) = 1+1 = 2

BARSfunc math:  log(25 * 4) = sum_digits(11)

BARSfunc math:  sqrt(25) - 4 = mult_digits(11)
* mult_digits(n) = product of the digits of n
domain:  n must be a prime number
* 11 is prime; mult_digits(11) = 1*1 = 1

BARSfunc math:  log(sqrt(25 * 4)) = mult_digits(11)

This road sign is on AZ Hwy-77 and to date no rsHwyEval
left on AZ Hwy-79 onto southbound AZ Hwy-77.

pseudo-rsHwyEval:  4! + 11 * sqrt(25) = 79
```

This road sign resulted in the creation of the PrimeAndSquareRS categorization.

```   PrimeAndSquareRS: 11 is a prime number; 4 & 25 are square numbers
```

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 22 March 2013