ON PRIMALITY OF THE SMARANDACHE SYMMETRIC SEQUENCES

The study of primality for the Smarandache sequences represents a recent research direction on the Smarandache type notions. A few articles that were published recently deal with the primality of the direct and reverse Smarandache sequences. The primality of Smarandache symmetric sequences has not been studied yet. This article proposes some results concerning the non-primality of these symmetric sequences and presents some interesting conclusions on a large computational test on these. Key Words: Smarandache Symmetric Sequences, Prime Numbers, Testing Primality Smarandache type notions represents one of the important and recent directions on which the research on Elementary Number Theory has been carried out on the last years. Many theoretical and practical studies concerning the Smarandache functions, numbers or sequences have been developed so far. The practical studies have proved that many conjectures and open problems on this kind of notions are true. This article follows this line by developing a large computation on the Smarandache symmetric sequence and after that by proving some non-primality results. But, the most important fact is the article proposes two special numbers of the sequences that are primes