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The prime numbers 2, 3, 5, 7, ... are the building blocks of our number system. Under certain conditions, any arithmetic progression of positive integers contains infinitely many primes, as proved by Gustave Dirichlet. For ages 16+.
This book seeks to provide a complete proof which is accessible to school students possessing post-16 mathematical knowledge. All the techniques needed are carefully developed and explained.
Here are the 2018-19 UK entry form and non-UK entry form for the Individual Challenges.
Team Challenge click here for details/entry form and check heat availability here.
BMO1 and Senior Kangaroo papers and solutions are now available via the linked pages.
Thursday 7 November 2019
TBA
Thursday 7 February 2019
3 December 2018
Tuesday 30 April 2019
8 March 2018
The UK Mathematics Trust (UKMT) is a registered charity whose aim is to advance the education of children and young people in mathematics. The UKMT organises national mathematics competitions and other mathematical enrichment activities for 11-18 year old UK school pupils. We were established in 1996 and last academic year over 600,000 pupils from 4,000 schools took part in the three individual challenges, the UK's biggest national maths competitions. Each challenge leads into a follow-on Olympiad round and we run mentoring schemes and summer schools for high performing students as well as training the team of six to represent the UK in the International Mathematical Olympiad. We also run team maths competitions for two age ranges, publish books and organise enrichment seminars for teachers.
