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A067523
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The smallest prime with a possible given digit sum.
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5
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2, 3, 13, 5, 7, 17, 19, 29, 67, 59, 79, 89, 199, 389, 499, 599, 997, 1889, 1999, 2999, 4999, 6899, 17989, 8999, 29989, 39989, 49999, 59999, 79999, 98999, 199999, 389999, 598999, 599999, 799999, 989999, 2998999, 2999999, 4999999, 6999899, 8989999
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OFFSET
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1,1
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COMMENTS
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Except for 3 no other prime has a digit sum which is a multiple of 3. Hence the possible digit sums are 2,3,4,5,7,8,10,11,13,14,16,..., etc. Conjecture: For every possible digit sum there exists a prime.
For n > 2, this is (conjecturally) the smallest prime with digit sum A001651(n). - Lekraj Beedassy, Mar 04 2009
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LINKS
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Table of n, a(n) for n=1..41.
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FORMULA
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a(n) = min(prime(i): A007605(i) = A133223(i)). - R. J. Mathar, Nov 06 2018
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PROG
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(PARI) A067523(n)=if(n<3, n+1, A067180(n*3\/2-1)) \\ M. F. Hasler, Nov 04 2018
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CROSSREFS
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Equals A067180 with the 0 terms removed.
Sequence in context: A191000 A085402 A085400 * A035515 A317716 A076988
Adjacent sequences: A067520 A067521 A067522 * A067524 A067525 A067526
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KEYWORD
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base,easy,nonn
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AUTHOR
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Amarnath Murthy, Feb 14 2002
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EXTENSIONS
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More terms from Vladeta Jovovic, Feb 18 2002
Edited by Ray Chandler, Apr 24 2007
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STATUS
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approved
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