Thursday, August 12, 2010

259

259 = 7 x 37.

259 is 1111 in base 6.

259 is a 14-gonal number.

259 is a lucky number.

259 is the solution to the postage-stamp problem for three denominations and 13 stamps.

259 hectares is equivalent to 1 square mile.

1 comment:

Anonymous said...

Other properties of the number 259
The number 259 is a Tetradecagono, since (12n^2-10n)/2=259 to n = 7
259 can be represented as
259=3^2+5^2+15^2=3^2+9^2+13^2
259=1^3+2^3+5^3+5^3
259=2^3+2^3+3^3+6^3
259=130^2-129^2
259=2^8+3=3^5+2^4
259 is third and seventh of the difference of two squares
259=(131^2-128^2)/3=(133^2-126^2)/ 7
Other representations of number 259
259=6^2+223=2^3+251=2^5+227
It can also be represented as Pythagorean triples
259^2+660^2=709^2
259^2+33540^2=33541^2
Let N(a+b(-D)^(1/2)= a^2+D*b^2=259,N norm. If N(3+5(-10)^(1/2)=3^2+10*5^2=259,as a*b=15 and a+b=6, the minimum polynomial is represented by this basis
X^2-6X+259=0,where X1=3+5(-10)^(1/ 2) and X2 =3-5(-10)^(1/2), where the discriminant is D = B^2-4A+C=6 ^2-4*1*259=-1000=-10^2*10,where D=-10 squarefree.
Rafael Parra Machio