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Search: id:A067180
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| A067180 |
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Smallest prime with digit sum n, or 0 if no such prime exists. |
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+0 6
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| 0, 2, 3, 13, 5, 0, 7, 17, 0, 19, 29, 0, 67, 59, 0, 79, 89, 0, 199, 389, 0, 499, 599, 0, 997, 1889, 0, 1999, 2999, 0, 4999, 6899, 0, 17989, 8999, 0, 29989, 39989, 0, 49999, 59999, 0, 79999, 98999, 0, 199999, 389999, 0, 598999, 599999, 0, 799999, 989999, 0
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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a(3k) = 0 for k>1.
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EXAMPLE
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a(68) = 59999999 because 59999999 is the smallest prime with digit sum = 68;
a(100) = 298999999999 because 298999999999 is the smallest prime with digit sum = 100.
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MATHEMATICA
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a = Table[0, {100}]; Do[b = Apply[ Plus, IntegerDigits[ Prime[n]]]; If[b < 101 && a[[b]] == 0, a[[b]] = Prime[n]], {n, 1, 10^7} ]; a
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CROSSREFS
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Cf. A054750.
Cf. Remove the 0 terms from this sequence and it leaves A067523.
Sequence in context: A009814 A051298 A069870 this_sequence A067182 A085402 A085400
Adjacent sequences: A067177 A067178 A067179 this_sequence A067181 A067182 A067183
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KEYWORD
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easy,nonn,base
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jan 09 2002
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EXTENSIONS
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Edited and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Mar 01 2002
Edited by Ray Chandler (rayjchandler(AT)sbcglobal.net), Apr 24 2007
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