# Recreations

## All Abel Prize Winners Till Date (2003-2023)

Abel Prize is one of the most prestigious awards given for outstanding contributions to mathematics, often considered as the Nobel Prize of Mathematics. Niels Henrik Abel Memorial Fund, established on 1 January 2002, awards the Abel Prize for outstanding scientific work in the field of mathematics. The Abel prize winners get 7.5 million Norwegian kroner (about 850,000…

## This Prime Generating Product generates successive prime factors

Any integer greater than 1 is called a prime number if and only if its positive factors are 1 and the number p itself. The basic ideology involved in this post is flawed and the post has now been moved to Archives. Prime Generating Formulas We all know how hard it is to predict a formula for prime numbers!…

## Examination Strategies : Tactics & Tips

Every student or graduate knows how hard the first experience of passing exams is. Preliminary preparation starves the nervous system and the physical condition of the human body, however, the exam itself is always a stressful situation, which requires a candidate a great manifestation of mental and physical abilities. Therefore, just the knowledge of a…

## Hopalong Orbits Visualizer: Stunning WebGL Experiment

I just discovered Barry Martin’s Hopalong Orbits Visualizer — an excellent abstract visualization, which is rendered in 3D using Hopalong Attractor algorithm, WebGL and Mrdoob’s three.js project. Here is a demo video: Hop to the source website using your desktop browser (with WebGL and Javascript support) and enjoy the magic. Hopalong Attractor Algorithm Hopalong Attractor…

## Euler’s (Prime to) Prime Generating Equation

The greatest number theorist in mathematical universe, Leonhard Euler had discovered some formulas and relations in number theory, which were based on practices and were correct to limited extent but still stun the mathematicians. The prime generating equation by Euler is a very specific binomial equation on prime numbers and yields more primes than any…

## Irrational Numbers and The Proofs of their Irrationality

“Irrational numbers are those real numbers which are not rational numbers!” Def.1: Rational Number A rational number is a real number which can be expressed in the form of where $a$ and $b$ are both integers relatively prime to each other and $b$ being non-zero. Following two statements are equivalent to the…

## The Area of a Disk

If you are aware of elementary facts of geometry, then you might know that the area of a disk with radius $R$ is $\pi R^2$ . Premise The radius is actually the measure(length) of a line joining the center of disk and any point on the circumference of the disk or any other…

## Triangle Inequality

Triangle inequality has its name on a geometrical fact that the length of one side of a triangle can never be greater than the sum of the lengths of other two sides of the triangle. If $a$ , $b$ and $c$ be the three sides of a triangle, then neither $a$…