Expressions Of The Smarandache Coprime Function

Expressions of the Smarandache Coprime Function

Sebastián Martín Ruiz

Smarandache Coprime function is defined this way:

We see two expressions of the Smarandache Coprime Function for k=2.

EXPRESSION 1:

=the biggest integer number smaller or equal than x.

If

are coprime numbers:

therefore:

If

aren’t coprime numbers:

EXPRESSION 2:

If

are coprime numbers then

If

aren’t coprime numbers

EXPRESSION 3:

Smarandache Coprime Function for

If

are coprime numbers:

If

aren’t coprime numbers:

:

References:

1. E. Burton, “Smarandache Prime and Coprime Function” 2. F. Smarandache, “Collected Papers”, Vol II 22 p.p. 137,Kishinev University Press.