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A160273
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Successive differences (divided by 3) of the average of twin prime pairs divided by 2 (A040040).
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2
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1, 1, 2, 2, 3, 2, 5, 1, 5, 2, 5, 2, 1, 5, 2, 5, 2, 5, 6, 12, 2, 5, 10, 8, 5, 3, 4, 3, 25, 2, 1, 5, 4, 23, 2, 3, 2, 5, 10, 13, 8, 2, 2, 3, 18, 4, 5, 1, 20, 2, 8, 5, 4, 11, 14, 1, 9, 3, 8, 5, 9, 1, 4, 3
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OFFSET
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1,3
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COMMENTS
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Also the successive differences of A002822.
Instances of a(n) = 1 correspond to prime quadruples. (End)
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LINKS
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MAPLE
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ZL := []; for p to 1000000 do if `and`(isprime(p), isprime(p+2)) then ZL := [op(ZL), ((p+2)^2-p^2)*(1/8)] end if end do; a := [seq((ZL[i+1]-ZL[i])*(1/3), i = 2 .. nops(ZL)-1)]
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MATHEMATICA
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Rest[(Differences[(Mean/@Select[Partition[Prime[Range[500]], 2, 1], #[[2]]- #[[1]]==2&])/2])/3] (* Harvey P. Dale, Jun 10 2014 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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