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A078858
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Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e. when d=2,4 or 6) and forming d-pattern=[6, 6,4]; short d-string notation of pattern = [664].
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14
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151, 367, 601, 727, 2281, 2671, 3307, 4987, 5557, 10651, 12967, 13171, 15907, 18217, 18427, 20101, 20341, 24091, 27061, 28591, 30097, 30307, 31321, 32491, 35311, 37951, 41941, 42181, 42391, 45751, 52951, 53617, 55201, 56767, 59107, 65407
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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FORMULA
| Primes p = p(i) such that p(i+1)=p+6, p(i+2)=p+6+6, p(i+3)=p+6+6+4.
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EXAMPLE
| p=151, 151+6=157, 151+6+6=163, 151+6+6+4=167 are consecutive primes.
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MATHEMATICA
| Transpose[Select[Partition[Prime[Range[6600]], 4, 1], Differences[#] == {6, 6, 4}&]][[1]] (* From Harvey P. Dale, Nov 04 2011 *)
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CROSSREFS
| Cf. analogous prime quadruple sequences with various possible {2, 4, 6}-difference-patterns in brackets: A007530[242], A078847[246], A078848[264], A078849[266], A052378[424], A078850[426], A078851[462], A078852[466], A078853[624], A078854[626], A078855[642], A078856[646], A078857[662], A078858[664], A033451[666].
Sequence in context: A118494 A140022 A108842 * A078967 A089317 A141982
Adjacent sequences: A078855 A078856 A078857 * A078859 A078860 A078861
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Dec 11 2002
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EXTENSIONS
| Listed terms verified by Ray Chandler (rayjchandler(AT)sbcglobal.net), Apr 20 2009
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