**Volume 24** ▶ Number 1 ▷ Number 2 ▷ Number 3

**The system of prime coordinates assigned to the positive integers**

*Original research paper. Pages 1—5*

Silviu Guiasu

Full paper (PDF, 147 Kb) | Abstract

**The ternary Goldbach problem with prime numbers of a mixed type**

*Original research paper. Pages 6—20*

S. I. Dimitrov

Full paper (PDF, 238 Kb) | Abstract

**Alternative approach to sums of dilates**

*Original research paper. Pages 21—27*

Rafał Bystrzycki and Tomasz Schoen

Full paper (PDF, 186 Kb) | Abstract

**A GCD problem and a Hessenberg determinant**

*Original research paper. Pages 28—31*

M. Hariprasad

Full paper (PDF, 151 Kb) | Abstract

**The double Fibonacci sequences in groups and rings**

*Original research paper. Pages 32—39*

Ömür Deveci

Full paper (PDF, 192 Kb) | Abstract

**On the average number of divisors of the sum of digits of squares**

*Original research paper. Pages 40—46*

Teerapat Srichan

Full paper (PDF, 196 Kb) | Abstract

**Methods for constructing Collatz numbers**

*Original research paper. Pages 47—54*

Abdullah N. Arslan

Full paper (PDF, 323 Kb) | Abstract

**Quotients of primes in an algebraic number ring**

*Original research paper. Pages 55—62*

Brian D. Sittinger

Full paper (PDF, 191 Kb) | Abstract

**Structural sequences for primes using right-end-digits**

*Original research paper. Pages 63—70*

J. V. Leyendekkers and A. G. Shannon

Full paper (PDF, 157 Kb) | Abstract

**A note on the Frobenius and the Sylvester numbers**

*Original research paper. Pages 71—73*

Amitabha Tripathi

Full paper (PDF, 138 Kb) | Abstract

**Global equitable domination in some degree splitting graphs**

*Original research paper. Pages 74—84*

S. K. Vaidya and R. M. Pandit

Full paper (PDF, 250 Kb) | Abstract

**Relationships between Fibonacci-type sequences and Golden-type ratios**

*Original research paper. Pages 85—89*

R. Patrick Vernon

Full paper (PDF, 158 Kb) | Abstract

**On two new combined 3-Fibonacci sequences**

*Original research paper. Pages 90—93*

Krassimir T. Atanassov

Full paper (PDF, 118 Kb) | Abstract

**Sums of powers of Fibonacci and Lucas numbers: A new bottom-up approach**

*Original research paper. Pages 94—103*

Robert Frontczak

Full paper (PDF, 165 Kb) | Abstract

**On Zudilin-like rational approximations to ζ(5)**

*Original research paper. Pages 104—116*

Anier Soria Lorente

Full paper (PDF, 209 Kb) | Abstract

**On modular happy numbers**

*Original research paper. Pages 117—124*

Raghib Abusaris and Omar Bayyati

Full paper (PDF, 258 Kb) | Abstract

**Even dimensional rhotrix**

*Original research paper. Pages 125—133*

A. O. Isere

Full paper (PDF, 207 Kb) | Abstract

**On the Iyengar–Madhava Rao–Nanjundiah inequality and its hyperbolic version**

*Original research paper. Pages 134—139*

József Sándor

Full paper (PDF, 155 Kb) | Abstract

**A symmetric Diophantine equation involving biquadrates**

*Original research paper. Pages 140—144*

Ajai Choudhry

Full paper (PDF, 121 Kb) | Abstract

*This issue of the International Journal “Notes on Number Theory and Discrete Mathematics” is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. DNP-06-38/2017.*