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Search: id:A126655
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| A126655 |
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Numbers n such that 6*p(n)-1 and 6*p(n)+1 are twin primes and 6*p(n+1)-1 and 6*p(n+1)+1 are also twin primes with p(n) = n-th prime. |
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1
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| 1, 2, 3, 27, 137, 340, 479, 882, 1415, 1883, 3442, 3798, 4284, 5827, 7559, 8783, 9453, 10355, 10731, 11388, 12565, 13613, 16477, 17007, 18402, 18665, 19450, 19633, 22306, 24971, 25083, 29108, 29861, 30748, 31694, 32622, 33097, 36743, 37141
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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6*2-1=11 6*2+1=13 11 13 twin primes as 17 and 19 so 1 is first term of the sequence
6*3-1=17 6*3+1=19 17 19 twin primes as 29 and 31 so 2 is second term of the sequence
6*5-1=29 6*5+1=31 29 and 31 twin primes 5=3rd prime
6*7-1=41 6*7+1=43 41 and 43 twin primes 7=4th prime so 3 is the 3rd term of the sequence
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MATHEMATICA
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Select[Range[39000], PrimeQ[6*Prime[ # ] - 1] && PrimeQ[6*Prime[ # ] + 1] && PrimeQ[6*Prime[ # + 1] - 1] && PrimeQ[6*Prime[ # + 1] + 1] &] (*Chandler*)
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CROSSREFS
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Cf. A060212.
Sequence in context: A042043 A056722 A126203 this_sequence A132533 A059089 A098812
Adjacent sequences: A126652 A126653 A126654 this_sequence A126656 A126657 A126658
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KEYWORD
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nonn
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AUTHOR
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Pierre CAMI (pierrecami(AT)tele2.fr), Feb 09 2007
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EXTENSIONS
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Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Feb 11 2007
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