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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

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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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!

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.

The twin prime conjecture states that there are infinitely many consecutive primes ( eg. There has been a recent breakthrough in this problem.

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.

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

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.

The twin prime conjecture states that there are infinitely many consecutive primes ( eg. There has been a recent breakthrough in this problem.

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.

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26) Fermat’s little theorem: If p is a prime number then a^p – a is a multiple of p.

5) Diophantine equations: These are polynomials which have integer solutions.

Fermat’s Last Theorem is one of the most famous such equations.

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

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

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