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Search: id:A078856
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| A078856 |
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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, 4,6]; short d-string notation of pattern = [646]. |
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13
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| 73, 157, 373, 433, 1543, 2341, 2383, 3313, 3607, 4441, 4993, 5851, 6037, 6961, 7237, 8731, 9613, 9733, 10723, 13093, 14143, 14731, 16411, 16921, 17971, 18787, 20107, 21391, 23011, 23593, 25111, 25237, 25447, 27793, 30103, 30697, 32353, 32563
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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Primes p = p(i) such that p(i+1)=p+6, p(i+2)=p+6+4, p(i+3)=p+6+4+6.
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EXAMPLE
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p=73,73+6=79,73+6+4=83,73+6+4+6=89 are consecutive primes.
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CROSSREFS
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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: A044324 A044705 A071844 this_sequence A142326 A142377 A044405
Adjacent sequences: A078853 A078854 A078855 this_sequence A078857 A078858 A078859
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Dec 11 2002
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EXTENSIONS
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Listed terms verified by Ray Chandler (rayjchandler(AT)sbcglobal.net), Apr 20 2009
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