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)

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