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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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L. J. Lander and T. R. Parkin, On the first appearance of prime differences, Math. Comp., 21 (1967), 483-488.
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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.
Adjacent sequences: A001629 A001630 A001631 this_sequence A001633 A001634 A001635
Sequence in context: A059508 A084817 A100965 this_sequence A053185 A121534 A090119
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KEYWORD
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nonn,nice,easy
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AUTHOR
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njas
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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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