Nothing much happened today, but 343 is an interesting number in many ways. 343 = 73 343 is a Friedman number since 343 = (3 + 4)3. It’s the only known example of x2+x+1 = y3, in this case, x=18, y=7. It is z in a triplet (x,y,z) such that x5 + y2 = z3. The speed of sound in dry […]
A disappointment this evening as the people we were coming round tonight ended up not being able to due to their young daughter being unwell. She will be well soon. This meant a freshly cleared evening to try and clear some of the items on our respective jobs list. In theory. In actuality, we didn’t […]
Geeky maths thing over with first, 233 is the middle of a triplet of sexy primes. Boiling this down to its constituent parts; a prime number is any (natural or counting – whole) number greater than 1 that has no positive divisors other than 1 and itself. [1 is itself and so doesn’t apply before you start]. a […]
Nothing much interesting happened today. Sports day went well, all is good. However, 185 is a key number in many ways, so I thought I’d focus on that tonight. 185 is an odd number 185 is a composite number 185 is a deficient number, as 43 is less than 185 185 is an odious number 185 is a square-free number 185 is […]
![The first five heptagonal numbers [via Wikipedia]](https://thomasjpitts.co.uk/wp/wp-content/uploads/2013/05/Heptagonal_numbers.svg_.png)
Day 148 of my 365 project reminds me about heptagonal numbers. 148 is a good example of a heptagonal number because it fits two of the three heptagonal number categories: heptagonal numbers, centred heptagonal numbers and centred heptagonal primes. As you can see, these numbers make heptagons. The first few heptagonal numbers are 1, 7, 18, 34, 55, 81, 112, 148… and […]
I’ve decided to split the geeky maths things from my 365 blog into a separate strand so that those who don’t care, don’t need to read them. I’m going to begin with the number 146, since that’s the day I’m up to in my 365 project. Other posts in this series may or may not […]
Today, I received this tweet: @thomasjpitts Explain. RT @uberfacts: If you take your age,multiply it by 7, then multiply by 1443 the product repeats your age 3 times. — alastair whitelaw (@alastairRP) May 21, 2013 So, what is the maths behind this trick? I quite quickly saw that my age produced 303030 (7 x 30 […]
129 is a fabulous number. It is one of my favourites. For a start, it is the sum of the first ten prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. I know this because the sum of the first nine is 100 – a fact that not many people know I would […]
This title comes from the episode of Outnumbered I’m watching. It has nothing to do with anything. Today has been a nice day overall. Work was good, got a lot done in the afternoon. The two lessons I taught were ok – maths in particular, which covered all types of angles, and how to find […]