Polignac’s Conjecture, and the Twin Prime Conjecture are widely considered to remain unproven since first proposed in 1849. We provide a proof of the conjectures by defining a prime in terms of its lack of divisibility and express the probability of its occurrence based on its indivisibility. Inadvertently, a more generalised form of Polignac’s Conjecture…
Given a prime P(m): Example: For P(m) = 11,
Goldbach’s conjecture states that: Every even integer greater than can be expressed as the sum of two prime numbers. It’s apparent that the recurring theme of is expressed thrice in this statement for good reason: they are related. Even refers to divisibility by . So, suppose we could extend this to any arbitrary divisibility and…
Consider that primes are the dissonant instances within harmonic sets of those dissonant instances. That is, the nth prime begins a harmonic set across . Suppose: the positive integer set, is the prime number set, is the nth prime, and where is a prime number, and is the set of all products of in .…
T. E. Lawrence in Afghanistan.The British legend whom led a maverick expedition of Maccabean proportions; helped coordinate a pivotal Arab uprising against the Ottoman Empire. Oil on Canvas. 5 colour palette.
Entities can be optimised according to the governing quality of their entity scope and can better promote their ultimate prevalence, if not perpetuity. All sub-entities that exists within the entity should be optimised for the prevalence of the super-entity. It may seem that the welfare of a sub-entity should at times, take precedence. This cannot…
The state is not just a national government. It is a presence that inhabits the entirety of human conduct.
There is an anomaly of neo-Marxism that prevents its own success. Ironically, it happens to be the most abominable feature of Fascism.
Unicode versions of the Gospel of Thomas are rare. Before support of Coptic characters, publishers used makeshift fonts to render Coptic characters. I’ve scraped pre-Unicode publications and converted to modern Unicode.
A critique of transhumanism and the mistaken idolatry of conquering outer space. Socrates is a man, but so what? Socrates did not become a man as he always was a man as long as he was mortal. We were simply unaware of it until our deduction. What does such knowledge achieve? Science begins with an…