### BARS::13 Miles From Pine on AZ Hwy-87 in Arizona

This road sign is on northbound AZ Hwy-87 in Arizona.

The road sign says...

```   +---------------+
| Pine       13 |
| Cottonwood 70 |
| Winslow    88 |
+---------------+
```

MathBabbler was not able to find an equation using the numbers in the sign; therefore, he resorted to using some of his BARS functions.

```   str_to_nbr(s)  converts string 's' into the digits
MathBabbler must press on his cell
phone in order to send 's' as a text
message; the function outputs the sum
of the digits

mult_digits(n)  outputs the product of the digits found in
prime number 'n'; the function's domain
is all prime numbers

sum_prime_factors(n)  outputs the sum of the prime factors for 'n'
```
```   the numbers are:  13  70  88

str_to_nbr("pine") = 74446633 (sum = 37)
str_to_nbr("cottonwood") = 222666886666696666663 (sum = 118)
str_to_nbr("winslow") = 94446677775556669 (sum = 124)

existing numbers equals derived numbers math:
88 - 70 + 13 = 37 - (124 - 118)

37 - 13 = 24
118 - 70 = 48
124 - 88 = 36

average math:  avg(24, 48) = 36

sum_prime_factors(88) - sum_prime_factors(70) = mult_digits(13)

observe...
prime factors for 88 are:  2 * 2 * 2 * 11  (sum = 17)
prime factors for 70 are:  2 * 5 * 7       (sum = 14)
```

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 31 May 2008 (posted 1 June 2008) 