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A082510
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Differences of consecutive primes being divisible by 6 in order of their appearance in A001223: terms not divisible by 6 are omitted from A001223.
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0
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6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 12, 18, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 12, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 12, 6, 6, 6, 18, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 12, 18, 6, 6, 12, 6, 6, 6, 18, 6, 6, 12, 6, 12, 12, 12, 6, 6, 6, 6, 6, 6, 24, 12, 6, 6, 6, 18
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..95.
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MATHEMATICA
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Do[s=Mod[d=Prime[n+1]-Prime[n], 6]; If[Equal[s, 0], Print[d]], {n, 1, 1000}]
Select[Last[#]-First[#]&/@Partition[Prime[Range[500]], 2, 1], Divisible[ #, 6]&] (* Harvey P. Dale, Mar 18 2012 *)
Select[Differences[Prime[Range[500]]], Divisible[#, 6]&] (* Harvey P. Dale, May 13 2020 *)
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CROSSREFS
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Cf. A001223, A082508, A082509.
Sequence in context: A020793 A021019 A177057 * A343195 A173068 A113427
Adjacent sequences: A082507 A082508 A082509 * A082511 A082512 A082513
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KEYWORD
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nonn
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AUTHOR
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Labos Elemer, Apr 28 2003
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STATUS
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approved
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