Here are a few of the stories that we didn’t get round to covering in depth this month.
Turing’s Sunflowers Project – results
Manchester Science Festival’s mass-participation maths/gardening project, Turing’s Sunflowers, ran in 2012 and invited members of the public to grow their own sunflowers, and then photograph or bring in the seed heads so a group of mathematicians could study them. The aim was to determine whether Fibonacci numbers occur in the seed spirals – this has previously been observed, but no large-scale study like this has ever been undertaken. This carries on the work Alan Turing did before he died.
The results of the research are now published – a paper has been published in the Royal Society’s Open Science journal, and the findings indicate that while Fibonacci numbers do often occur, other types of numbers also crop up, including Lucas numbers and other similarly defined number sequences.
Who could have guessed that this non-story about somebody being out of his depth and quite obviously wrong would get so out of hand? Here’s an update on The Continuing Tale Of The Man Whose Claims Couldn’t Be Verified.
Here’s a tweet from Alex Bellos this morning:
He’s right to be surprised – as reported in Vanguard, a Nigerian newspaper:
The 156-year old Riemann Hypothesis, one of the most important problems in Mathematics, has been successfully resolved by Nigeria Scholar, Dr. Opeyemi Enoch.
Suspicion levels are raised, as the paper also reports:
Three of the [Clay Millenium Prize] problems had been solved and the prizes given to the winners. This makes it the fourth to be solved of all the seven problems.
Unless we missed something, that’s not massively true – the only Millennium Prize problem solved so far is the Poincaré conjecture.
In this short series of articles, I’m writing about mathematical questions we don’t know the answer to – which haven’t yet been proven or disproven. This is the third article in the series, and across two parts will discuss various open conjectures relating to prime numbers. This follows on from Open Season: Prime numbers (part 1).
So, we have a pretty good handle on how prime numbers are defined, how many of them there are, and how to check whether a number is prime. But what don’t we know? It turns out, quite a lot.
In this short series of articles, I’m writing about mathematical questions we don’t know the answer to – which haven’t yet been proven or disproven. This is the third article in the series, and across two parts will discuss various open conjectures relating to prime numbers.
I don’t think it’s too much of an overstatement to say that prime numbers are the building blocks of numbers. They’re the atoms of maths. They are the beginning of all number theory. I’ll stop there, before I turn into Marcus Du Sautoy, but I do think they’re pretty cool numbers. They crop up in a lot of places in maths, they’re used for all kinds of cool spy-type things including RSA encryption, and even cicadas have got in on the act (depending on who you believe).