Here we state a theorem that finds composite numbers. Proof will be given elsewhere. Theorem: Let $latex A = \{ a: 1\leq a\leq N\}$ and $latex B = \{b: 1\leq b\leq N\}$ Define $latex x =\frac{a+b+1+\sqrt((a-b)^2+2a+2b+5)}{2}$ for $latex a$ in $latex A$ and $latex b$ in $latex B$. If $latex x\in \mathbb{N}$, then $latex x+1$... Continue Reading →
Geometrized Symbols and the Related Codes
In this paper geometry is studied with a novel approach. Every geometrical object is defined as a symbol which satisfies some properties. These symbols are then coded into a class of numbers which are named here as many dots numbers (MDN). The algebraic structure of MDN is established. Assuming the universe as a symbol, the... Continue Reading →
Goldbach Conjecture
According to Golbach's conjecture, every even greater than 2 is the sum of two primes. Here we experimentally demonstrate that it is only true if there are infinitely many primes. Theorem: There are infinitely many primes. Proof: We prove this using Goldbach conjecture. Suppose a finite set of prime numbers P = {p1, p2, …,... Continue Reading →
Does God Exist? Simple Answer of the Difficult Question
Let us settle this difficult question once and for all. Perhaps we would never be able to prove the existence of God as any proof would involve the underlying assumptions. The same goes for disproof. A mathematical proof may be possible. But physical evidences are not guaranteed. However, if we change the question and ask,... Continue Reading →
Mr. Monologue 