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Search: id:A113890
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| A113890 |
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Smallest prime of the form: all eights followed by prime(n). a(n)> prime(n). 0 if no such prime exists. |
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+0
1
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| 0, 83, 0, 887, 811, 88813, 88817, 8819, 823, 829, 8831, 8837, 88888841, 88843, 88888888888888888888888888888847, 853, 859, 8861, 8867, 888871, 88873, 88888879, 883, 88888888888889, 88897, 8101, 888103, 8888107, 888109
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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Prime(n) is all zeros followed by prime(n).This is all eights followed by prime(n). Conjecture:a(n) is non zero if n >3.
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EXAMPLE
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a(4) = 887, as 87 is composite, prime(4) = 7.
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MAPLE
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cat2 := proc(a, b) a*10^(max(1, ilog10(b)+1))+b ; end: A002282 := proc(n) 8*(10^n-1)/9 ; end: A113890 := proc(n) local p, a, n8 ; p := ithprime(n) ; for n8 from 1 to 120 do a := cat2(A002282(n8), p) ; if isprime(a) then return(a) ; fi ; od: RETURN(0) ; end: seq(A113890(n), n=1..35) ; - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 31 2008
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CROSSREFS
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Cf. A113884, A114785, A113886, A113887, A114788, A114789.
Sequence in context: A015077 A015040 A116296 this_sequence A051327 A033403 A134456
Adjacent sequences: A113887 A113888 A113889 this_sequence A113891 A113892 A113893
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 18 2005
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 31 2008
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