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A078852
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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=[4, 6,6]; short d-string notation of pattern = [466].
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13
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43, 163, 643, 937, 967, 1093, 1213, 2953, 4003, 4447, 6967, 7573, 8737, 9463, 10243, 10597, 11923, 12487, 12637, 13033, 14533, 14737, 15787, 16087, 16417, 16477, 16927, 17317, 17467, 20113, 22063, 25453, 26683, 26713, 27763, 29863, 32983
(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+4, p(i+2)=p+4+6, p(i+3)=p+4+6+6.
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EXAMPLE
| p=43,43+4=47,43+4+6=53,43+4+6+6=59 are consecutive primes.
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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: A142573 A142691 A200845 * A078956 A206399 A123040
Adjacent sequences: A078849 A078850 A078851 * A078853 A078854 A078855
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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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