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A078853
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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, 2,4]; short d-string notation of pattern = [624].
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13
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1601, 3911, 5471, 8081, 12101, 12911, 13751, 14621, 17021, 32051, 38321, 40841, 43391, 58901, 65831, 67421, 67751, 68891, 69821, 72161, 80141, 89591, 90011, 90191, 97571, 100511, 102191, 111821, 112241, 122021, 125921, 129281, 129581
(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+2, p(i+3)=p+6+2+4.
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EXAMPLE
| p=1601, 1601+6=1607, 1601+6+2=1609, 1601+6+2+4=1613 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: A202096 A206250 A187241 * A078958 A031758 A031628
Adjacent sequences: A078850 A078851 A078852 * A078854 A078855 A078856
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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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