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Search: id:A160666
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| A160666 |
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Numbers whose distance to the closest prime number is a prime number |
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+0
1
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| 0, 9, 15, 21, 25, 26, 27, 33, 34, 35, 39, 45, 49, 50, 51, 55, 56, 57, 63, 64, 65, 69, 75, 76, 77, 81, 85, 86, 87, 91, 92, 94, 95, 99, 105, 111, 115, 116, 118, 120, 122, 124, 125, 129, 133, 134, 135, 141, 142, 144, 146, 147, 153, 154, 155, 159, 160, 161, 165, 169, 170
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Terms n=2..31 are identical to terms n=1..30 of A079364
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LINKS
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K. Stern, Table of n, a(n) for n=1..10000
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MAPLE
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isA160666 := proc(n) local ppl, pmi ; if isprime(n) then RETURN(false): elif n =0 then RETURN(true): elif n =1 then RETURN(false): fi; ppl := nextprime(n)-n ; pmi := n-prevprime(n) ; RETURN (isprime(min(ppl, pmi)) ) ; end: for n from 0 to 200 do if isA160666(n) then printf("%d, ", n) ; fi; od: [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 25 2009]
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MATHEMATICA
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fQ[n_] := PrimeQ[ Min[ NextPrime[n] - n, n - NextPrime[n, -1]]]; Select[ Range[0, 174], !PrimeQ@ # && fQ@# &] [From Robert G. Wilson v (rgwv(AT)rgwv.com), May 25 2009]
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CROSSREFS
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Cf. A000040, A051699
Sequence in context: A058211 A038599 A079364 this_sequence A039769 A071904 A014076
Adjacent sequences: A160663 A160664 A160665 this_sequence A160667 A160668 A160669
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KEYWORD
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nonn
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AUTHOR
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Kyle Stern (kstern1(AT)umbc.edu), May 22 2009
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl) and Robert G. Wilson v (rgwv(AT)rgwv.com), May 25 2009
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