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2) Goldbach’s conjecture: “Every even number greater than 2 can be expressed as the sum of two primes.” One of the great unsolved problems in mathematics.
3) Probabilistic number theory 4) Applications of complex numbers: The stunning graphics of Mandelbrot and Julia Sets are generated by complex numbers.
8) Finding prime numbers: The search for prime numbers and the twin prime conjecture are some of the most important problems in mathematics.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.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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