Here we introduce a formula that sends primes numbers into natural numbers and composite into fractions. L(n)=π(n) +(n-pπ(n))/Δ where π(n) is the prime-counting function and Δ is the gap between two consecutive primes. We calculate the first few numbers. L(1) = 0, L(2) = 1, L(3) = 2, L(4) = 2.5, L(5) = 3, L(6)... Continue Reading →
Who Says that Primes Have No Formula
Who says that primes Have no formula And that they are random We all know that Primes are in a set And that set is P Let 1st prime be p1 2nd be p2 3rd be p3 And then so on We don't care What their values are What we care Is that they come... Continue Reading →
2 Is Odd
2 is odd The turn of 2 Is odd 1st non-negative integer is 0 2nd is 1 3rd is 2 The turn of 2 Therefore, is odd Prime after prime Each prime Is odd 2 is odd Because its turn is odd Other primes are odd Because they're odd By nature
What Is Atom in a General Sense?
Atom is something that has no substructure. This means other things can be expressed in terms of atoms but they cannot be expressed of something smaller than them. The atoms of physical bodies are quarks and leptons. An electron is an elementary particle that does not have a substructure. However, a proton is made of... Continue Reading →
What Is Past?
In fact, the past is a closed curve. Present(s) is(are) singularity(ies) in the curve. Singularities can be avoided by going around and leaving all the singularities outside. The singular present will be used for a single universe while multiple presents will be used for the multiverse. Suppose that there are infinitely infinite presents. The curve... 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 →
Who Says That Primes Have No Formula
Who says that primes Have no formula And that they are random We all know that Primes are in a set And that set is P Let 1st prime be p1 2nd be p2 3rd be p3 And then so on We don't care What their values are What we care Is that they come... Continue Reading →
2 Is Odd
2 is odd The turn of 2 Is odd 1st non-negative integer is 0 2nd is 1 3rd is 2 The turn of 2 Therefore, is odd Prime after prime Each prime Is odd 2 is odd Because its turn is odd Other primes are odd Because they're odd By nature
What Is Past?
What is past? Past, upto the first letter, is prime Prime, in math, is a set And that set is P 1st prime is 2 2nd prime is 3 And then so on P is, thus, {2, 3,…} What! P is prime And that prime is past And that past was empty Yes! Empty is... Continue Reading →
The End of Integers
Euclid in 300 BC proved one of the beautiful theorems of mathematics that the number of prime numbers is infinite. The proof is based on a simple argument. Suppose $latex p_1$, $latex p_2$, $latex \ldots$, $latex p_r$ be all the primes. Let $latex P$ be the product of all the primes, then $latex P+1$ is... Continue Reading →