Research
Independent Researcher
Under Dr. Bernardo Recamán Santos · Universidad de Los Andes
Working under Dr. Bernardo Recamán Santos at Universidad de Los Andes, this project investigates partial covering systems and modular conditions that govern Sierpiński number candidates — odd integers k for which k·2ⁿ + 1 is composite for every natural n.
The work combined classical number theory with computational search: large numerical sequences were generated and screened for composite-generating patterns, and candidate covering sets were tested against modular constraints to determine how much of the exponent space each set accounts for.
The resulting paper, Analyzing Conditions and Partial Coverings for Sierpiński Number Candidates, was accepted on SSRN, and the research was presented as part of the Historias de primos lecture series.
