88 research outputs found
On the Difference S(Z(n)) - Z(S(n)
In this paper, we prove that there exist infmitely many positive integers
n satisfying S(Z(n))> Z(S(n)) or S(Z(n)) < Z(S(n))
THE LIMIT OF THE SMARANDACHE DIVISOR SEQUENCES
In this paper we prove that the limit T(n) of the Smarandache divisor sequence exists if and only if n is odd
THE CONRGENCE VALUE AND THE SIMPLE CONTINUED FRACTIONS OF SOME SMARANDACHE SEQUENCES
In this paper we consider the convergence value and the simple continued fraction of some Smarandache sequeces
The function equation S(n) = Z(n) 1
For any positive integer n, let S(n) and Z(n) denote the Smarandache function and the pseudo Smarandache function respectively. In this paper we prove that the equation S(n) = Z(n) has infinitely many positive integer solutions n
THE SMARANDACHE FRIENDLY NATURAL NUMBER PAIRS
In this paper we completely determinate all the Smarandache friendly natural number pairs
THE SQUARES IN THE SMARANDACHE FACTORIAL PRODUCT SEQUENCE OF THE SECOND KIND
In this paper one proves that the Smarandache factorial product sequence contains only one square 1
PERFECT POWERS IN THE SMARANDACHE PERMUTATION SEQUENCE
In this paper we prove that the Smarandache pennutation sequience does not contain perfect powers
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