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Search: id:A123911
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| A123911 |
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Numbers n such that if you multiply the primes that are indexed by the digits of n and add the sum of digits of n you get n. |
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+0
1
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OFFSET
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1,1
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COMMENT
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As prime(0) is not defined, n may not contain any zero digits.
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EXAMPLE
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2295 is in the sequence because prime(2)*prime(2)*prime(9)*prime(5) + sum of digits of 2295 = 3*3*23*11 + (2+2+9+5) = 2277 + 18 = 2295.
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MATHEMATICA
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fQ[n_] := ! MemberQ[IntegerDigits@n, 0] && Times @@ Prime@ IntegerDigits@n + Plus @@ IntegerDigits@n == n; Do[ If[fQ@n, Print@n], {n, 2*10^9}]
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CROSSREFS
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Sequence in context: A059466 A020404 A023323 this_sequence A126173 A083572 A031774
Adjacent sequences: A123908 A123909 A123910 this_sequence A123912 A123913 A123914
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KEYWORD
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base,more,nonn
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AUTHOR
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Tanya Khovanova (tanyakh(AT)yahoo.com), Oct 28 2006
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EXTENSIONS
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a(4) and a(5) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Apr 22 2008
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