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Search: id:A001632
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| A001632 |
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Smallest prime p such that there is a gap of 2n between p and previous prime.
(Formerly M3812 N1560)
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+0
9
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| 5, 11, 29, 97, 149, 211, 127, 1847, 541, 907, 1151, 1693, 2503, 2999, 4327, 5623, 1361, 9587, 30631, 19373, 16183, 15727, 81509, 28277, 31957, 19661, 35671, 82129, 44351, 43391, 34123, 89753, 162209, 134581, 173429, 31469, 404671, 212777
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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A001632(n) = 2n+A000230(n) = nextprime(A000230(n)).
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REFERENCES
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J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 97, p. 34, Ellipses, Paris 2008.
L. J. Lander and T. R. Parkin, On the first appearance of prime differences, Math. Comp., 21 (1967), 483-488.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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T. D. Noe, Table of n, a(n) for n = 1..595 (from Nicely)
T. R. Nicely, List of prime gaps
Index entries for primes, gaps between
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EXAMPLE
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The first time a gap of 4 occurs between primes is between 7 and 11, so A000230(2)=7 and A001632(2)=11.
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CROSSREFS
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Cf. A000230.
Sequence in context: A059508 A084817 A100965 this_sequence A053185 A121534 A090119
Adjacent sequences: A001629 A001630 A001631 this_sequence A001633 A001634 A001635
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KEYWORD
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nonn,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Nov 28 2000 and from Labos, E., Nov 29, 2000.
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