Authors and affiliations
Blagoy Nikolov Djokov
4003-Plovdiv, 101 Bulgaria Boulevard, ap. 1, Bulgaria
In this paper, a class of infinite sequences with positive integer terms is considered. If the Twin Prime Conjecture, stipulating that there are infinitely many twin prime numbers, is true, then the sequence of all twin prime numbers belongs to the same class. In the present investigation, it is proved that the mentioned class is non-empty and moreover there exists at least one element of this class containing all twin primes.
- Twin primes
- Relatively prime
- Twin Prime Conjecture
- Guy, R. Unsolved Problems in Number Theory , 3rd ed. New York, Springer-Verlag, 2004, pp. 32
Cite this paperAPA
Djokov, B. (2011). On a class of infinite sequences with relatively prime numbers and twin prime conjecture, Notes on Number Theory and Discrete Mathematics, 17(3), 15-17.Chicago
Djokov, B. “On a Class of Infinite Sequences with Relatively Prime Numbers and Twin Prime Conjecture.” Notes on Number Theory and Discrete Mathematics 17, no. 3 (2011): 15-17.MLA
Djokov, B. “On a Class of Infinite Sequences with Relatively Prime Numbers and Twin Prime Conjecture.” Notes on Number Theory and Discrete Mathematics 17.3 (2011): 15-17. Print.