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- Super-prime abstract "Super-prime numbers (also known as "higher order primes") are the subsequence of prime numbers that occupy prime-numbered positions within the sequence of all prime numbers. The subsequence begins3, 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.Broughan and Barnett show that there aresuper-primes up to x.This can be used to show that the set of all super-primes is small.One can also define "higher-order" primeness much the same way, and obtain analogous sequences of primes. Fernandez (1999)A variation on this theme is the sequence of prime numbers with palindromic indices, beginning with 3, 5, 11, 17, 31, 547, 739, 877, 1087, 1153, 2081, 2381, … (sequence A124173 in OEIS).↑".
- Super-prime wikiPageExternalLink problem.php?contest=0&problem=116.
- Super-prime wikiPageExternalLink FOP.html.
- Super-prime wikiPageID "13398615".
- Super-prime wikiPageRevisionID "542870524".
- Super-prime hasPhotoCollection Super-prime.
- Super-prime subject Category:Classes_of_prime_numbers.
- Super-prime type Abstraction100002137.
- Super-prime type Class107997703.
- Super-prime type ClassesOfPrimeNumbers.
- Super-prime type Collection107951464.
- Super-prime type Group100031264.
- Super-prime comment "Super-prime numbers (also known as "higher order primes") are the subsequence of prime numbers that occupy prime-numbered positions within the sequence of all prime numbers. The subsequence begins3, 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)).".
- Super-prime label "Super-prime".
- Super-prime label "Суперпростое число".
- Super-prime sameAs m.03c3_ys.
- Super-prime sameAs Q7641959.
- Super-prime sameAs Q7641959.
- Super-prime sameAs Super-prime.
- Super-prime wasDerivedFrom Super-prime?oldid=542870524.
- Super-prime isPrimaryTopicOf Super-prime.