Prime number generation using memetic programming

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  author =       "Emad Mabrouk and Julio Cesar Hernandez-Castro and 
                 Masao Fukushima",
  title =        "Prime number generation using memetic programming",
  journal =      "Artificial Life and Robotics",
  year =         "2011",
  volume =       "16",
  number =       "1",
  pages =        "53--56",
  publisher =    "Springer",
  language =     "English",
  keywords =     "genetic algorithms, genetic programming, Hybrid
                 evolutionary algorithm, Iterated local search, Memetic
                 programming, Prime number",
  ISSN =         "1433-5298",
  DOI =          "doi:10.1007/s10015-011-0890-3",
  size =         "4 pages",
  abstract =     "For centuries, the study of prime numbers has been
                 regarded as a subject of pure mathematics in number
                 theory. Recently, this vision has changed and the
                 importance of prime numbers has increased rapidly,
                 especially in information technology, e.g., public key
                 cryptography algorithms, hash tables, and pseudo-random
                 number generators. One of the most popular topics to
                 attract attention is to find a formula that maps the
                 set of natural numbers into the set of prime numbers.
                 However, to date there is no known formula that
                 produces all primes. In this article, we use a hybrid
                 evolutionary algorithm, called the memetic programming
                 (MP) algorithm, to generate mathematical formulae that
                 produce distinct primes. Using the MP algorithm, we
                 succeeded in discovering an interesting set of formulas
                 that produce sets of distinct primes.",
  notes =        "This work was presented in part at the 16th
                 International Symposium on Artificial Life and
                 Robotics, Oita, Japan, January 27-29, 2011",

Genetic Programming entries for Emad H A Mabrouk Julio Cesar Hernandez-Castro Masao Fukushima