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Murgu Irrationals


SPECIAL IRRATIONALS
or MURGU IRRATIONALS

SPECIAL IRRATIONAL is a irrational number with a property of evolving to a integer n, by n-times multiply with itself, and to every n Integer can be asociate a proper one of form.

n√ n

Ion Murgu - "Fermat - Murgu Second Grade Imposible Equations" brought first Equation Of Truth,

n(Xn + Yn - Zn) = 0

those equations are ABSOLUTE CONDITIONAL and then exclude :
(Xn + Yn - Zn) = 0 into Integers. Where is the case, 3-th Grade, 4-th Grade and so on will bring suplimentary Equations as proof, but as essence and without any doubt Second CERTIFY Fermat's Last Theorem ranking it as FUNDAMENTAL.

(X)n√ n   ,  (Y)n√ n   ,  (Z)n√ n  

For every Integer n, we have a SPECIAL IRRATIONAL - n√ n

EVERY INTEGER n have asociate A SPECIAL IRRATIONAL
n√ n
with respect for its proepry of : this asociated n times multiplay with itsel evolve to n.


-+

***

DEMONSTRATION.

Every Prime Number can be associated to it's SPECIAL IRRATIONAL.
- P√ P -
and is without any doubts a SPECIAL IRRATIONAL , because:
if will write P as Power in a form |P| = |A| * |B| , A and B Integers and will consider |A| <|P|, , never

{[P√( P)A]*[P√( P)B]}

- because P by deffinition isn't a produs of two integers.


Then, all Integers n can be associated to its SPECIAL IRRATIONAL - n√ n
, BECAUSE every Integers Number is a Prime Number or a combination of Prime Numbers.

The case N = (I*N) are excluding itself.
Also the cases N = a multiple of INTEGERS
Also the cases N= A A

N

√

 N

are SPECIAL IRRATIONALS or
Ion Murgu Irrationals
are those covering all Irrational Field ?
we can say are covering a infinity but not all. All are covered by FERMAT EQUATIONS
Zn = Xn + Yn for n>1
and here is an aspect of Infinity Divergent Conjecture:
INFINITY including infinity.

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