# Can you find the pattern?

If the following are true:

$$4+7+2 = 281435$$

$$7+3+9 = 212781$$

$$6+2+7 = 121456$$

$$2+8+5 = 164036$$

Then what would the following equal?

$$8+4+6\ =\ ?$$

Can anybody check my work? I think the answer is:

$$8+4+6 = 32 24 72$$

Algorithm is -

First 2 digits = Product of 1st and 2nd digits
Next 2 digits = Product of 2nd and 3rd digits
Next digit = Take first digit and add 1 if its prime else subtract 1.
Last digit = Product of 3 numbers. If first digit is odd, keep it as it is else subtract 2.

$4+7+2 = 281435$

$4*7 = 27$
$7*2 = 14$
$4-1=3$
$4*7*2 = 56 = 5$ (First digit 5 is odd so keep it as it is)

$7+3+9 = 212781$

$7*3 = 21$
$3*9 = 27$
$7+1 = 8$
$7*3*9 = 189 = 1$ (First digit 1 is odd so keep it as it is)

$6+2+7 = 121456$

$6*2 = 12$
$2*7 = 14$
$6-1 = 5$
$6*2*7 = 84 = 8 - 2 = 6$ (First digit 8 is even so subtract 2)

$2+8+5 = 164036$

$2*8 = 16$
$8*5 = 40$
$2+1 = 3$
$2*8*5 = 80 = 8 - 2 = 6$ (First digit 8 is even so subtract 2)

$8+4+6=?$

$8*4 = 32$
$4*6 = 24$
$8-1 = 7$
$8*4*6 = 192 = 1$ (First digit 1 is odd so keep it as it is)
$322471$