Definitions for super-prime
su·per-prime

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1. Super-prime

   Super-prime numbers, also known as higher-order primes or prime-indexed primes (PIPs), 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, 179, 191, 211, 241, 277, 283, 331, 353, 367, 401, 431, 461, 509, 547, 563, 587, 599, 617, 709, 739, 773, 797, 859, 877, 919, 967, 991, ... (sequence A006450 in the OEIS).That is, if p(n) denotes the nth prime number, the numbers in this sequence are those of the form p(p(n)). 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 & Barnett (2009) show that there are x ( log ⁡ x ) 2 + O ( x log ⁡ log ⁡ x ( log ⁡ x ) 3 ) {\displaystyle {\frac {x}{(\log x)^{2}}}+O\left({\frac {x\log \log x}{(\log x)^{3}}}\right)} super-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 prime indices, beginning with 3, 5, 11, 17, 31, 547, 739, 877, 1087, 1153, 2081, 2381, ... (sequence A124173 in the OEIS).

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1. Super-prime

   Super-prime numbers are the subsequence of prime numbers that occupy prime-numbered positions within the sequence of all prime numbers. The subsequence begins That is, if p denotes the ith prime number, the numbers in this sequence are those of the form p. Dressler & Parker used a computer-aided proof 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 each super-prime number is less than twice its predecessor in the sequence. Broughan and Barnett show that there are super-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 A variation on this theme is the sequence of prime numbers with palindromic indices, beginning with

How to pronounce super-prime?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

   Australian

   Veena

   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

   British

   Fred

   US English

   Tessa

   South African

How to say super-prime in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of super-prime in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of super-prime in Pythagorean Numerology is: 5

Examples of super-prime in a Sentence

1. Alistair Wittet:

   Consumers are changing shopping habits. Instead of shopping in secondary locations they're shopping online but they're still valuing the super-prime flagship stores, that's the thinking behind the Inditex strategy - to close the secondary stores and enlarge and improve their flagship stores.

References

1. ^ Wikipedia
   https://en.wikipedia.org/wiki/Super-Prime
2. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=super-prime