ADVANCE OF SMARANDACHE APPROACH TO SOLVING SYSTEMS OF DIOPHANTlNE EQUATIONS

By developing F. Smarandache (algebraic) approach to solving systems of Diophantine equations we elaborate a set of new computative algorithms and analytical formulae, which may be used for fmding numerical solutions of some combinatorial and number-theoretic problems

THE SYSTEM - GRAPHICAL ANALYSIS OF SOME NUMERICAL SMARANDACHE SEQUENCES

The system - graphical analysis results of some numerical Smarandache sequences are adduced. It is demonstrated that they possess of the big aesthetic, cognitive and applied significance

INVESTIGATING CONNECTIONS BETWEEN SOME SMARANDACHE SEQUENCES, PRIME NUMBERS AND MAGIC SQUARES

In this paper we investigate some properties of Smarandache sequences of the 2nd kind and demonstrate that these numbers are near prime numbers. In particular, we establish that prime numbers and Smarandache numbers of the 2nd kind (a) may be computed from the similar analytical expressions, (b) may be used for constructing Magic squares 3x3 or Magic squares 9x9, consisted of 9 Magic squares 3x3