Asian Journal of Pure and Applied Mathematics

This research paper discusses the topic of the distribution of the prime numbers, from the point of view of the Nicholson's Conjecture. The conjecture had been formulated in 2013, 77 years after the Cramer's conjecture and 31 years after the Firoozbakht's Conjecture. Both Firoozbakht's and Nicholson's conjectures seem counter-intuitive and paradoxical, considering the strong negative criticism that Cramer's conjecture received over the years as being \too strong". Attempt had been made to put a higher bound above the one provided by the Cramer's conjecture. Yet, those two conjectures actually proceed further in the direction of Cramer's reasoning asserting even stronger argument. These conjectures belong to the class of the strongest bounds on maximal prime gaps, superseding Cramer's conjecture. They are ultimately superseded by the Supremum bound, but the intuition and condence of the authors of the many conjectures that tend to strengthen the bound on Maximal Prime Gaps beyond the Cramer's conjecture is commendable.