Blagoy Nikolov Djokov

Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132

Volume 17, 2011, Number 3, Pages 15—17

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## Details

### Authors and affiliations

Blagoy Nikolov Djokov

*4003-Plovdiv, 101 Bulgaria Boulevard, ap. 1, Bulgaria*

### Abstract

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.

### Keywords

- Twin primes
- Relatively prime
- Sequence
- Twin Prime Conjecture

### AMS Classification

- 11B99

### References

- Guy, R. Unsolved Problems in Number Theory , 3rd ed. New York, Springer-Verlag, 2004, pp. 32

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## Cite this paper

APADjokov, 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.

ChicagoDjokov, 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.

MLADjokov, 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.