BARS::39 Miles From Mt. Hood in Oregon

This road sign is on OR Hwy-212 two miles from Boring, Oregon.

The road sign says...

   +-----------------+
   | ^ Gresham     7 |
   | | Portland   21 |
   |-----------------|
   | S.E. 312th  Av. |   <-- strange abbreviation for Avenue
   | Sandy         5 |
   | Mt. Hood     39 |
   +-----------------+
   the numbers are:  7  21  312  5  39

   the math is:  (21 / 7 + 5) * 39 = 312

   observe...
      21 / 7 = 3
      3 + 5 = 8
      8 * 39 = 312

   [exercise] list the prime factors of 312

   [solve for n]  (21 / n + 5) * 39 = 312

Across the road (OR Hwy-212) from the Mt. Hood sign was a road sign indicating we were Two miles from Boring.

RoadHacker Nanofoo: Mt. Hood | from plane

Update::2009.04.09

This BARS was selected to be one of the BARS of the Week for week #12 of the spring 2009 semester.

   the numbers are:  7  21  312  5  39

   more math:  sqrt(312 + 5 + 7)  + 21 = 39

   the math is:  cuberoot((312 / 39)! / 7!) = sqrt(sqrt(21 - 5))

   rsPiEval:  (21 + log(5 * cuberoot(312 / 39))) / 7 = Pi
   * 22/7 approximates Pi (3.14) rounded to nearest hundredth

   rs42Eval:  sqrt(5! /  (312 / 39) + 21) * 7 = 42
   * 42 is the "Answer to Life, the Universe, and Everything"

   rsHwyEval:  312 - (38 + 21 + 8! / 7! * 5) = 212
   * This road sign was found on OR Hwy-212
Update::2009.07.26

This BARS was selected to be one of the BARS of the Week for week #1 of the fall 2009 semester.

   the numbers are:  7  21  312  5  39

   BARSfunc rsAgeEval:  spf(312) + 39 - 21 + 7 + 5 = 52
   * MathBabbler was 52 years young when he found this equation.
   * spf(n) = the sum of the prime factors of n
   * spf(312) = 2+2+2+3+13 = 22

   BARSfunc rs42Eval:  spf(312) + 39 - 21 + 7 - 5 = 42
   * 42 is the "Answer to Life, the Universe, and Everything"

   off-by-one rsStateEval:  summation(5, 312 / 39) + (21 / 7)! = 33 - 1
   * This sign is in Oregon and Oregon was 
     the 33rd state admitted to the Union.
   * summation(5, 312 / 39) = summation(5, 8) = 5+6+7+8 = 26
Update::2010.08.19

This BARS was selected to be one of the BARS of the Week for week #1 of the fall 2010 semester.

   the numbers are:  7  21  312  5  39

   BARSfunc math:  
      (7 + spf(spf(21)) - spf(spf(312))) * 5 = spf(spf(spf(spf(39))))
   * spf(n) = the sum of the prime factors of n
   * spf(21) = 3+7 = 10; spf(10) = 2+5 = 7
   * spf(312) = 2+2+2+3+13 = 22; spf(22) = 2+11 = 13
   * spf(39) = 3+13 = 16; spf(16) = 2+2+2+2 = 8
     spf(8) = 2+2+2 = 6; spf(6) = 2+3 = 5

   off-by-one rsAgeEval:  21 + 5 * 7 - cuberoot(312 / 39) = 53+1
   * MathBabbler was 53 years young when he found this equation.

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 02 August 2006

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