### BARS::39 Miles From Mt. Hood in Oregon

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

```   +-----------------+
| ^ 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
```

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 