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Search: id:A068841
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| A068841 |
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Smallest prime larger than 3^n whose digits begin with those of 3^n. |
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+0 2
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| 11, 31, 97, 271, 811, 2437, 7297, 21871, 65617, 196831, 5904901, 17714701, 5314411, 15943237, 47829697, 1434890761, 4304672117, 1291401637, 3874204891, 116226146719, 348678440113, 1046035320347, 313810596091, 9414317882759
(list; graph; listen)
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OFFSET
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0,1
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EXAMPLE
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a(5) = 2437 with leading digits 243 = 3^5.
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MATHEMATICA
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f[n_] := For[x=10, True, x*=10, For[y=0, y<x, y++, If[PrimeQ[x*n+y], Return[x*n+y]]]]; a[n_] := f[3^n]
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CROSSREFS
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Cf. A068842.
Sequence in context: A126365 A082102 A027847 this_sequence A124296 A082712 A049090
Adjacent sequences: A068838 A068839 A068840 this_sequence A068842 A068843 A068844
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KEYWORD
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nonn,base
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 10 2002
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EXTENSIONS
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Edited by Dean Hickerson (dean(AT)math.ucdavis.edu), Jun 09 2002
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