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Question: What is Special About the number 275305224 ?

Question:What is Special About the number 275305224 ?

Fereydoon_Shekofte 223 Maple
combinatorics
January 31 2011
0 
as you know the number of solutions for order 3 to 5 magic squares is as follow : 
(not counting rotations and reflections)

order 3: 1 solution

order 4: 880 solutions

order 5: 275305224 solutions

higher order: unknown ...

 

in the first look at 880 , simply appeared it can constructed by
2x5x8x11 (every factor increased by 3)


although on web mentioned about a few propertices of the number 275305224

but we are so eager to see that some of you can discover an amazing properties for this number

by analyzing it or with your mathematical second nature ?
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