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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!

||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.

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.

For more information on the geographic variable used for this analysis, see IPUMS-USA.