There are at least “a” primes within the range of n!(a) and n!(a+1), (n,a) being any positive integer greater than 2. I have to introduce the concept of “degree of Factorial” as I have not been successful in finding any notation for representing a factorial of a factorial, ad. inf. I define n!(a) as n! …
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Conjecture no. 2
There exist at least (a-1) primes in the interval n^a to (n+1)^a, n and a being integers greater than 1. If this sounds familiar, yes, it was inspired by (and is an extension of) Legendre’s conjecture. which states; There exists at least 1 prime in the interval n^2 to ( n+1)^2, n being an integer. …
My first conjecture
A few months ago, I came up with this conjecture that I am going to post today. This conjecture may seem elementary but I assure you it is a very difficult question to resolve. It goes like this. x^a + x^b + x^c is divisible by 12, for all positive even integer values of (x, …
Me, Myself, and I
Welcome to my blog! This blog of mine is primarily meant to present to the world my conjectures in mathematics. However,you can also find me occasionally blogging on other subjects as well. As they say, “Only time will tell”.
My Mathematics work and other extraneous diversions 