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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.

33) The Chinese Remainder Theorem: This is a method developed by a Chinese mathematician Sun Zi over 1500 years ago to solve a numerical puzzle. 35) Fermat’s Theorem on the sum of 2 squares – An example of how to use mathematical proof to solve problems in number theory. 37) Mathematical proof and paradox – a good opportunity to explore some methods of proof and to show how logical errors occur.

12) Magic squares and cubes: Investigate magic tricks that use mathematics. 13) Loci and complex numbers 14) Egyptian fractions: Egyptian fractions can only have a numerator of 1 – which leads to some interesting patterns. Can all fractions with a numerator of 2 be written as 2 Egyptian fractions?

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

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

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.

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

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

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

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