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Search: id:A091592
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| A091592 |
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Numbers n such that there are no twin primes between n^2 and (n+1)^2. |
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+0
5
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| 9, 19, 26, 27, 30, 34, 39, 49, 53, 77, 122
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The first 7 terms of this sequence were given by Ernst Jung in a discussion in the Newsgroup de.sci.mathematik entitled "Primzahlen zwischen (2x-1)^2 und (2x+1)^2" (primes between ...and...) with other significant contributions from Hermann Kremer and Rainer Rosenthal. It is conjectured that there are no further terms beyond a(11)=122. This has been tested to 50000 by Robert G. Wilson v (rgwv(AT)rgwv.com).
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LINKS
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Hugo Pfoertner, Illustration of record gaps between pairs of twin primes.
Eric Weisstein's World of Mathematics, k-Tuple Conjecture Section in World of Mathematics.
Eric Weisstein's World of Mathematics, Twin Prime Conjecture Section in World of Mathematics.
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EXAMPLE
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a(1)=9 because no twin primes are found in the interval [9^2,10^2].
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CROSSREFS
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Cf. A091591, A036061, A036063.
Sequence in context: A075981 A079368 A106677 this_sequence A090065 A098791 A041156
Adjacent sequences: A091589 A091590 A091591 this_sequence A091593 A091594 A091595
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KEYWORD
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hard,nonn
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AUTHOR
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Hugo Pfoertner (hugo(AT)pfoertner.org), Jan 25 2004
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