Magic squaress
 

Sometimes you can write a value like the sum of two square
i/e 16+25= 51.... a= b²+c²
Are b and c unics?
John

[QUOTE=JohnFullspeed;263676]Sometimes you can write a value like the sum of two square
i/e 16+25= 51.... a= b²+c²
Are b and c unics?
John[/QUOTE]

What is a "unic"? I presume that you do not mean Eunuch. :smile:

It is a fairly simple elementary exercize to determine when a number
is the sum of two squares. It is an exercize for a 1st year number theory
class to determine when the representation is unique.

May I suggest that you perform some numerical experimentation to see
if you can hypothesize when the representation is unique.

[QUOTE=JohnFullspeed;263676]Sometimes you can write a value like the sum of two square
i/e 16+25= 51.... a= b²+c²
Are b and c unics?
John[/QUOTE]

No. For example: 5²+10² = 11²+2²

[QUOTE=Mr. P-1;263678]No. For example: 5²+10² = 11²+2²[/QUOTE]

Don't spoil it!!!!!!

"Magic Squaress" sound's like the ideal title to bestow on
[url=http://www.youtube.com/watch?v=WANNqr-vcx0]Alice Through the Looking Glass[/url]

[QUOTE=JohnFullspeed;263676]Sometimes you can write a value like the sum of two square
i/e 16+25= 51.... a= b²+c²
Are b and c unics?
John[/QUOTE]
51?

[QUOTE=Ralf Recker;263682]51?[/QUOTE]

my guess is they either don't know math or that's a typo as 4 is next to 5 on the keyboard and the answer really is 41 in decimal.

Sorry
 

[URL]http://www.mersenneforum.org/showthread.php?t=15623[/URL]

In fact i need to find 5 polynoms

a²+b²+c²+d².....i²+j² =Z
Is there a math mehod?
thanks

[QUOTE=JohnFullspeed;263694][URL]http://www.mersenneforum.org/showthread.php?t=15623[/URL]

In fact i need to find 5 polynoms

a²+b²+c²+d².....i²+j² =Z
Is there a math mehod?
thanks[/QUOTE]

As posted, this is gibberish. No problem is presented. No question
is asked. What are you looking for? 5 polynomials for what?
You have only defined an integer Z as the sum of 10 squares.

[QUOTE=R.D. Silverman;263697]As posted, this is gibberish. No problem is presented. No question
is asked. What are you looking for? 5 polynomials for what?
You have only defined an integer Z as the sum of 10 squares.[/QUOTE]

magic squares wouldn't ever have 10 squares either as they are n by n with a magic constant so I can't so far make any sense of it either.

[QUOTE=R.D. Silverman;263697]You have only defined an integer Z as the sum of 10 squares.[/QUOTE]

...which doesn't even tell us anything about Z, since all nonnegative integers are the sum of 10 squares.