RSA Factoring Challenge

The RSA Factoring Challenge is a set of factorisation challenges that involve numbers with hundreds of digits. The highest one cracked was RSA-250, which was 250 digits long, 829 bits, and was factored in February 2020 by Fabrice Boudot, Pierrick Gaudry, Aurore Guillevic, Nadia Heninger, Emmanuel Thomé, and Paul Zimmermann (what's with the cool names?). … Continue reading RSA Factoring Challenge →

Behind the scenes of the proof that level 5 is impossible.

Level five of what? Geometry Dash, of course. JK, Back on Track is harder. I'm talking about Conway's Soldiers. And today, just for comfort, instead of calling the soldiers soldiers, I will be calling them pegs. Conway's Soldiers is simple. There are an infinite number of pegs behind a line that divides the land between … Continue reading Behind the scenes of the proof that level 5 is impossible. →

Updates.

Dante was elected as mayor in Hypixel Skyblock. The admins warned us, telling us to not vote for him. We all thought, "shut up admins! New update! NEW MAYOR! VOTE FOR THE NEW MAYOR DANTE!!!!!" But the admins were right. We should not have voted for him. How strong are Dante's debuffs? First debuff: More … Continue reading Updates. →

Sigma proof… explained

Unrelated, but a GD level called Sigma: https://geometry-dash-fan.fandom.com/wiki/Sigma Yesterday, I posted a proof on why the sigma sum for phi was true, but I kind of rushed it, so I will be going into details. If you can do a little bit of "hard maths", then it is easy to prove that: is true. is … Continue reading Sigma proof… explained →

Conway’s Soldiers… part 2.

Phi The sigma sum I will prove that the sigma sum is true given the value of phi, which is also the reciprocal of the golden ratio. Remember how Φ^2 = 1 - Φ? The sigma sum states that 1 - Φ + Φ - Φ^2 + Φ^2 - Φ^3 + Φ^3 - Φ^4 + … Continue reading Conway’s Soldiers… part 2. →

The unreachable, the impossible, the multidimensional…

Level five of Conway's Soldiers, once thought impossible, but proved possible with certain manipulations. Credits to Simon Tatham and Gareth Taylor for the solution.

In memory of a big influence…

#RIPMichigun https://twitter.com/vipringd/status/1376856468943687683 Rest in peace, Michigun, fly high This was a few days ago, probably a week, but in memory of Michigun, the Geometry Dash player everyone could look up to, I decided, "why not?" Michigun made a very famous level called "The Triple Trials" and I will be doing an analysis on it. There … Continue reading In memory of a big influence… →

A neat way to calculate the area of a rectangle

I was sitting down, solving one of Catriona Shearer's geometry puzzles when I found this (by myself): Look, I know it's not the best of drawings, but it's what I did. If we call the long diagonal x, and the line segment perpendicular to the diagonal y, then the area of the triangle = xy/2, … Continue reading A neat way to calculate the area of a rectangle →

The uninteresting paradox

When I say uninteresting, I don't mean that this paradox is uninteresting. It means "relating to the interesting/uninteresting numbers" and this is a paradox that is about uninteresting numbers. When we say interesting number, they're numbers with special features. Like 1 is the first positive integer, 2 is the only even prime, 3 is the … Continue reading The uninteresting paradox →

The banana length puzzle

This is a puzzle from How to bake π by Eugenia Cheng, if you haven't checked it out, make sure to do so. Here we go... A rope over the top of a fence has the same length on each side, and weighs one-third of a pound per foot. On one end hangs a monkey … Continue reading The banana length puzzle →