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Search: id:A114758
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| A114758 |
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Smallest prime of the form: n successive positive integers in descending order followed by a 1. |
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+0 9
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| 11, 211, 5431, 76541, 17161514131, 1211109871, 98765431, 876543211, 9876543211, 242322212019181716151, 11109876543211, 1131121111101091081071061051041031021, 555453525150494847464544431
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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a(4) = 76541, four successive positive integers 7,6,5,4 in descending order followed by a 1.
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MATHEMATICA
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a[n_]:=(For[m=1, (v={}; Do[v=Join[v, IntegerDigits[k]], {k, m+n-1, m, -1}]); !PrimeQ[10FromDigits[v]+1], m++ ]; 10FromDigits[v]+1); Table[a[n], {n, 14}] - Farideh Firoozbakht
f[n_] := Block[{t = Reverse@Range@n}, While[p = FromDigits@Flatten@IntegerDigits@Join[t, {1}]; ! PrimeQ@p, t++ ]; p]; Array[f, 13] (* Robert G. Wilson v *)
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CROSSREFS
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Cf. A113514, A114754, A114755, A114756, A114757, A114759, A112716, A108145, A114761.
Sequence in context: A089567 A110747 A112704 this_sequence A088061 A070220 A134069
Adjacent sequences: A114755 A114756 A114757 this_sequence A114759 A114760 A114761
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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), Jan 01 2006
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EXTENSIONS
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Extended by Robert G. Wilson v (rgwv(at)rgwv.com), Ray Chandler (rayjchandler(AT)sbcglobal.net) and Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Jan 02 2006
More terms from Robert G. Wilson v (rgwv(at)rgwv.com), Jan 03 2006
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