Here’s a round-up of mathematical and maths-adjacent things that happened in the world this month-and-a-half.

### Mathematical News

**New record calculation of π **– a team in Switzerland have calculated π to a record accuracy of 62.8 trillion digits (that’s around 10 tau trillion – a masterful troll). For more background, read New mathematical record: what’s the point of calculating pi? in the Guardian, which strikes a nice balance between understanding that π is important but that this kind of record-setting is largely stamp collecting.

**Odd subgraphs result** – There’s also a nice writeup in Quanta of a new proof confirming a fact about odd graphs (that every graph has a subgraph at least $\frac{1}{10000}$ of its own size that contains entirely odd vertices).

**P vs NP proof** – Logician Martin Dowd is claiming a proof of P≠NP “using a Godel diagonalization argument involving representing formulas”. As per @HigherGeometer’s tweet, mathematicians will be looking for the ‘nearly inevitable slip’, and we’ll report it here if we notice an announcement, probably.

**Prime Gap now down to 20** – Another claimed proof, this time by arithmetic geometer Chunlei Liu, confirming that there are infinitely many primes at most 20 apart – an improvement on prior work by Zhang/Polymath8/Tao/Maynard, and using a similar method.

### Events & Awards

**Awards news** – This year’s Royal Society Medals have been awarded, and recipients include **Prof. Frances Kirwan** who has been awarded the Sylvester Medal “for her research on quotients in algebraic geometry, including links with symplectic geometry and topology, which has had many applications”, and **Prof. June Barrow-Green** who receives the Wilkins-Bernal-Medawar Medal and Lecture “for her research in 19th and 20th century mathematics, notably on historical roots of modern computing, dynamical systems and the three-body problem. Her work places special emphasis on the under-representation of women in historical narratives and in contemporary mathematics.”

**Maths competition award nominations** – The World Federation of National Mathematics Competitions has put out a call for nominations for the Erdos Award 2022, which recognises the contributions of “mathematicians who have played a significant role in the development of mathematical challenges at the national or international level and which have been a stimulus for the enrichment of mathematics learning”. If you know someone who runs maths competitions and deserves an award, it’d be great to see some more UK winners!

**Win a free Schools Workshop** – ICMS and Maths Week Scotland are excited to announce a 2021 School Workshop competition, in which Scottish secondary schools can register themselves on the Maths Week Scotland website and enter to win an interactive virtual maths workshop delivered by Ben Sparks or Katie Steckles (that’s me), during Maths Week Scotland.

### And Finally

**Nira vs Specsavers** – We previously reported on Nira Chamberlain’s social media crusades to stop brands from being flippant about maths – and it looks like he’s had some more success. Following his complaint about an unhelpful leaflet put out by Specsavers (in which algebra was described as ‘silly’ and used as a throwaway example of something hard) they’ve responded to him personally and withdrawn the leaflet.

**Gathering For Gardner is postponed again** – with a heavy heart, the organisers of Gathering For Gardner 14 have made the tough call, in light of “the continuing worsening of the COVID-19 situation in Georgia, with record-breaking numbers of infections, and an increase in hospitalizations throughout the state”, to postpone this year’s event to 2022. Tickets already booked can be transferred to next year’s event or fully refunded.