ON THE SUM OF A PRIME AND A FIBONACCI NUMBER

DOI10.1142/S1793042110003708zbMath1242.11072arXiv1011.0173OpenAlexW2964242540MaRDI QIDQ3067883

K. S. Enoch Lee

Publication date: 13 January 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0173

zbMATH Keywords

asymptotic densitysumsetprimeFibonacci number

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (9)

On the sum of a Fibonacci number and a prime ⋮ Romanov type problems ⋮ The moments of the logarithm of a G.C.D. related to Lucas sequences ⋮ Sums of primes and quadratic linear recurrence sequences ⋮ On integers of the form \(p + 2^{k_1^{r_1}} + \cdots + 2^{k_t^{r_t}}\) ⋮ Rational trigonometric sums for Fibonacci sequences and an analogue of Romanoff's theorem ⋮ The density of numbers \(n\) having a prescribed G.C.D. with the \(n\)th Fibonacci number ⋮ On integers not of the form Fn ± pa ⋮ The sum of a prime and a Fibonacci number

Cites Work

• On some theorems of additive number theory
• Covers of the integers with odd moduli and their applications to the forms $x^{m}-2^{n}$ and $x^{2}-F_{3n}/2$
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