Using all digits from 1 to 9 once w/ (A+B)^{C} + (D+E)^{F} + (G+H)^{I}

 
 
(A+B)^{C} \; + \; (D+E)^{F} \; + \; (G+H)^{I}

To determine the lowest/highest palindromes and prime numbers that can be obtained in this fashion.

 
 

Smallest and largest palindromes :

(4+5)^3 \; + \; (6+9)^1 \; + \; (7+8)^2 \; = \; 969
(1+3)^9 \; + \; (2+5)^8 \; + \; (6+7)^4 \; = \; 6055506

 
 

Smallest and largest prime numbers:

(4+5)^3 \; + \; (6+8)^2 \; + \; (7+9)^1 \; = \; 941
(1+4)^2 \; + \; (3+6)^5 \; + \; (7+8)^9 \; = \; 38443418449

 
 

 
 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Advertisements

About benvitalis

math grad - Interest: Number theory
This entry was posted in Number Puzzles and tagged . Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s