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Search: id:A113403
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| A113403 |
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Lesser prime in a prime quadruplet for which the gap before the following quadruplet is a record. |
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+0
2
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| 5, 11, 101, 821, 1481, 3251, 5651, 9431, 31721, 43781, 97841, 135461, 187631, 326141, 768191, 1440581, 1508621, 3047411, 3798071, 5146481, 5610461, 9020981, 17301041, 22030271
(list; graph; listen)
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OFFSET
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0,1
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EXAMPLE
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The smallest prime quadruplet is 5,7,11,13 then 11,13,17,19 so a(0)=5 and a(1)=11; the following quadruplet is 101,103,107,109 so a(2)=101 because 101-11=90>11-5=6; the following quadruplet is 191,193,197,199: since 191-101=90=101-11 nothing happens; the following quadruplet is 821,823,827,829 so a(3)=821 because 821-191=630>101-11=6
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CROSSREFS
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Record gaps are given in A113404. Cf. A007530.
Sequence in context: A007530 A088268 A030085 this_sequence A022006 A056111 A090160
Adjacent sequences: A113400 A113401 A113402 this_sequence A113404 A113405 A113406
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KEYWORD
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nonn
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AUTHOR
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Bernardo Boncompagni (redgolpe(AT)redgolpe.com), Oct 28 2005
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