A big number that shrinks down to about three

I remember this from a book. The puzzle is: The sum of the factors of 360 is 1170. What is the sum of the reciprocals of the factors of 360? At first glance, it might seem impossible to solve, but when you look at it deeper, it's easy. Let's do the classic: 1/1 + 1/2 … Continue reading A big number that shrinks down to about three

Joseph Liouville and his Numbers (especially his constant)

Number theory. Whoo! In number theory, let there be a number x where, for any positive integer n, there are infinitely many number pairs (p, q) where q > 1 that: 0 < |x - p/q| < 1/q^n x is the Liouville number. Liouville numbers can be described as "almost rational", and can be approximated … Continue reading Joseph Liouville and his Numbers (especially his constant)

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

Which is closer to 16: 32 or 17?

In a +1 way, it's 17. But in a PRIME FACTOR way, it's 32. Why? And which is it? Kindergarten kids: 17Primary: 17Middle School: 17High school: 17College: probably both, but more likely 17University: 15? 17? 32? WHAT?!?!?!?!Real-life mathematicians who only care about supernaturals: 32 What on Earth is a SuPeRnAtUrAl?!?!?!?!?!?!?!?! If you watch Vi Hart's … Continue reading Which is closer to 16: 32 or 17?

I mean, where is this beautiful number even USED?!?!

Good question. Good question.The author Yes, yes, thank you. Now, if you can remember ANYTHING from the post "Nothing beats the beauty of this!", then you will know that φ is used in a lot of places and artwork. φ might be a drastic little number, but φ is very useful. For example, the Parthenon, … Continue reading I mean, where is this beautiful number even USED?!?!