Super-Prime

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Details

Super-prime numbers are the subsequence of prime numbers that occupy prime-numbered positions within the sequence of all prime numbers. The subsequence begins 3, 5, 11, 17, 31, 41, 59, 67, 83, 109, 127, 157, (sequence A006450 in OEIS). That is, if p(i) denotes the ith prime number, the numbers in this sequence are those of the form p(p(i)). Dressler & Parker (1975) used a computer-aided proof (based on calculations involving the subset sum problem) to show that every integer greater than 96 may be represented as a sum of distinct super-prime numbers. Their proof relies on a result resembling Bertrand''s postulate, stating that (after the larger gap between super-primes 5 and 11) each super-prime number is less than twice its predecessor in the sequence.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131235887
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131235887
    • Format Fachbuch
    • Titel Super-Prime
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 152
    • Genre Mathematik

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