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Search: id:A098797
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| A098797 |
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Numbers n (with no zero digits) with property that n raised to the product of its digits plus the sum of its digits is prime. |
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+0
1
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| 1, 11, 17, 34, 187, 232, 1132, 3112, 3173, 6127, 11413, 12112, 12331, 13213, 14311
(list; graph; listen)
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OFFSET
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1,2
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EXAMPLE
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a(4)=34: 34^(3*4)+(3+4) = 2386420683693101063, which is prime.
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MATHEMATICA
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14731, 22231, 23221
f[n_] := Block[{d = Sort[IntegerDigits[n]]}, d[[1]] != 0 && PrimeQ[n^(Times @@ d) + Plus @@ d]]; Do[ If[ f[n], Print[n]], {n, 36625}] (from Robert G. Wilson v Oct 23 2004)
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CROSSREFS
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Sequence in context: A165667 A086711 A039514 this_sequence A098649 A078872 A163387
Adjacent sequences: A098794 A098795 A098796 this_sequence A098798 A098799 A098800
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KEYWORD
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nonn,base
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AUTHOR
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Ray G. Opao (1260(AT)email.com), Oct 05 2004
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EXTENSIONS
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8 more terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 30 2004
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