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21) Hypercomplex numbers 22) Diophantine application: Cole numbers 23) Perfect Numbers: Perfect numbers are the sum of their factors (apart from the last factor). 24) Euclidean algorithm for GCF 25) Palindrome numbers: Palindrome numbers are the same backwards as forwards.26) Fermat’s little theorem: If p is a prime number then a^p – a is a multiple of p.The authors of the latest Pearson Mathematics SL and HL books have come up with 200 ideas for students doing their maths explorations.I have supplemented these with some more possible areas for investigation.An interesting insight into the mathematical field of Number Theory. 38) Friendly numbers, Solitary numbers, perfect numbers.Investigate what makes a number happy or sad, or sociable! 39) Zeno’s Paradox – Achilles and the Tortoise – A look at the classic paradox from ancient Greece – the philosopher “proved” a runner could never catch a tortoise – no matter how fast he ran.How all our digital communications are kept safe through the properties of primes. A post which looks at the maths behind this particularly troublesome series. How strange things happen when we start to manipulate divergent series.

29) The Riemann Hypothesis – one of the greatest unsolved problems in mathematics – worth

29) The Riemann Hypothesis – one of the greatest unsolved problems in mathematics – worth $1million to anyone who solves it (not for the faint hearted!

This is the British International School Phuket’s IB maths exploration (IA) page.

This list is for SL and HL students – if you are doing a Maths Studies IA then go to this page instead.

2) Goldbach’s conjecture: “Every even number greater than 2 can be expressed as the sum of two primes.” One of the great unsolved problems in mathematics.

3) Probabilistic number theory 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers.

||29) The Riemann Hypothesis – one of the greatest unsolved problems in mathematics – worth $1million to anyone who solves it (not for the faint hearted!This is the British International School Phuket’s IB maths exploration (IA) page.This list is for SL and HL students – if you are doing a Maths Studies IA then go to this page instead.2) Goldbach’s conjecture: “Every even number greater than 2 can be expressed as the sum of two primes.” One of the great unsolved problems in mathematics.3) Probabilistic number theory 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers.

million to anyone who solves it (not for the faint hearted!This is the British International School Phuket’s IB maths exploration (IA) page.This list is for SL and HL students – if you are doing a Maths Studies IA then go to this page instead.2) Goldbach’s conjecture: “Every even number greater than 2 can be expressed as the sum of two primes.” One of the great unsolved problems in mathematics.3) Probabilistic number theory 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers.
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