Analysis and conjectures regarding the prime gaps using c# programming language

This paper brings four conjectures, based on analysis of prime gaps, to the knowledge of the scientific community. This research and its results were based on data obtained directly by computational algorithms, which were developed by the authors of this paper, for the analysis of prime numbers and prime gaps. These data were the basis for the conjectures proposed here. However, they are only preliminary results and conjectures that require more investigation and deeper analysis for future proof or refutation. The first conjecture presented states that the graph for the first occurrences of all prime gaps behaves according to an exponential function that tends to a quadratic function. The second proposes which are the only prime gaps that occur consecutively in the sequence of prime gaps. The third conjecture proposes the creation of a new sequence of intervals, but now between prime gaps, in which the sum of its infinite elements will be equal to zero and consequently, may serve as a feasible argument that the twin primes occur infinitely.