a^2+b^2+c^2+d^2+e^2 = f^2+g^2+h^2+i^2+j^2 and a*b*c*d*e = f*g*h*i*j

 
 

Find solutions in positive integers

 

a^2 \; + \; b^2 \; + \; c^2 \; + \; d^2 \; + \; e^2 \; = \; f^2 \; + \; g^2 \; + \; h^2 \; + \; i^2 \; + \; j^2

                          a \cdot b \cdot c \cdot d \cdot e \; = \;  f \cdot g \cdot h \cdot i \cdot j

 
 

 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

Advertisements

About benvitalis

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

One Response to a^2+b^2+c^2+d^2+e^2 = f^2+g^2+h^2+i^2+j^2 and a*b*c*d*e = f*g*h*i*j

  1. paul says:

    Here are those with a x b x c x d x e <=10000

    1^2 + 3^2 + 8^2 + 14^2 + 20^2 = 2^2 + 4^2 + 5^2 + 7^2 + 24^2 = 670
    1 x 3 x 8 x 14 x 20 = 2 x 4 x 5 x 7 x 24 = 6720

    1^2 + 6^2 + 7^2 + 8^2 + 24^2 = 2^2 + 3^2 + 4^2 + 16^2 + 21^2 = 726
    1 x 6 x 7 x 8 x 24 = 2 x 3 x 4 x 16 x 21 = 8064

    Paul.

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