The roots of unity

Okay, so I know I was going to do a post about the Carmichael Numbers, but we went over these things called the roots of unity in maths this week and I just thought they were amazing, so – sorry Carmichael Numbers, but you’re taking a backseat this week. This is going to be good. […]

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Mersenne primes!

So I was looking around at some Numberphile videos before my Cambridge interview whilst searching for some extra, last-minute mathematical inspiration. I found out about these numbers called Mersenne primes and was struck by the strangeness of it all. A prime is a number whose only prime factor above one is itself. They have always […]

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The Bernoulli Numbers

The Bernoulli numbers were hinted at by Johann Faulhaber, simultaneously independently discovered by Jakob Bernoulli and Seki Kowa and later rediscovered by Ramanujam. They play a key part in sums and crop up in an array of different areas of maths (including many already talked about on this site!). What are Bernoulli Numbers? The Bernoulli […]

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Happy Ada Lovelace Day!

So today, October 9th 2018, marks this year’s Ada Lovelace Day! It’s a day for people to get excited about programming and remember one lady who played a part in getting it all started. Who was Ada? Often referred to as ‘the first computer programmer’, Lady Augusta Ada King, Countess of Lovelace, was a tech […]

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