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Search: id:A103276
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| A103276 |
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a(n)=(prime(n+1)+prime(k))/prime(n), where k is the smallest number such that prime(n+1)+prime(k)==0 mod prime(n), n+1<k. |
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+0 1
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| 4, 4, 4, 4, 4, 6, 6, 4, 6, 12, 6, 4, 10, 6, 6, 12, 6, 8, 4, 4, 6, 4, 6, 12, 12, 6, 12, 24, 6, 12, 6, 8, 4, 22, 6, 8, 8, 6, 6, 6, 10, 10, 4, 10, 6, 6, 12, 10, 30, 4, 12, 6, 22, 6, 6, 12, 12, 14, 4, 12, 4, 6, 6, 6, 16, 4, 8, 10, 4, 6, 6, 4, 20, 24, 10, 14, 12, 4, 6, 4
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OFFSET
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1,1
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EXAMPLE
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a(1)=(prime(2)+prime(k))/prime(1)=(3+5)/2=4
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MAPLE
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A103276 := proc(n) local p, q, r, i ; p := ithprime(n) ; q := ithprime(n+1) ; r := 2 ; for i from 1 do if ( q+r ) mod p = 0 and r>q then RETURN ((q+r)/p) ; fi ; r := nextprime(r) ; od: end: seq(A103276(n), n=1..80) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 06 2008
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CROSSREFS
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Sequence in context: A001736 A091844 A007208 this_sequence A059190 A085142 A064053
Adjacent sequences: A103273 A103274 A103275 this_sequence A103277 A103278 A103279
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KEYWORD
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nonn
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AUTHOR
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Yasutoshi Kohmoto (zbi74583(AT)boat.zero.ad.jp), Jan 27 2005
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EXTENSIONS
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Corrected and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 06 2008
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