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Algebra and number 1) Modular arithmetic – This technique is used throughout Number Theory.

For example, Mod 3 means the remainder when dividing by 3.

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

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15) Complex numbers and transformations 16) Euler’s identity: An equation that has been voted the most beautiful equation of all time, Euler’s identity links together 5 of the most important numbers in mathematics. This is a puzzle that was posed over 1500 years ago by a Chinese mathematician. 18) Fermat’s last theorem: A problem that puzzled mathematicians for centuries – and one that has only recently been solved.Solve all the clues in a level to make it onto the leaderboard.The 2 hardest levels – Level 6 and Level 7 are particularly tough – are you good enough to crack them?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.

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