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6) Continued fractions: These are fractions which continue to infinity.The great Indian mathematician Ramanujan discovered some amazing examples of these.27) Prime number sieves 28) Recurrence expressions for phi (golden ratio): Phi appears with remarkable consistency in nature and appears to shape our understanding of beauty and symmetry.29) The Riemann Hypothesis – one of the greatest unsolved problems in mathematics – worth

6) Continued fractions: These are fractions which continue to infinity.The great Indian mathematician Ramanujan discovered some amazing examples of these.27) Prime number sieves 28) Recurrence expressions for phi (golden ratio): Phi appears with remarkable consistency in nature and appears to shape our understanding of beauty and symmetry.29) The Riemann Hypothesis – one of the greatest unsolved problems in mathematics – worth $1million to anyone who solves it (not for the faint hearted!

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6) Continued fractions: These are fractions which continue to infinity.

The great Indian mathematician Ramanujan discovered some amazing examples of these.

27) Prime number sieves 28) Recurrence expressions for phi (golden ratio): Phi appears with remarkable consistency in nature and appears to shape our understanding of beauty and symmetry.

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

Use this resource like you would a good wiki – as a starting point and inspiration for your own personal investigation.

Before choosing a topic you need to read this page which gives very important guidance from the IB.

million to anyone who solves it (not for the faint hearted!

Ideas for investigation: The authors of the latest Pearson Mathematics SL and HL books have come up with 200 ideas for students doing their maths explorations.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.Important Be aware that this page gets a large amount of traffic from IB students – do not simply copy articles.This will almost certainly be spotted by the IB moderators and could result in you failing your diploma.

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19) Natural logarithms of complex numbers 20) Twin primes problem: The question as to whether there are patterns in the primes has fascinated mathematicians for centuries.

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