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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
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1, 11, 17, 34, 187, 232, 1132, 3112, 3173, 6127, 11413, 12112, 12331, 13213, 14311, 14731, 22231, 23221, 41911, 43117
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(21) > 51111. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Mar 14 2010]
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EXAMPLE
| a(4)=34: 34^(3*4)+(3+4) = 2386420683693101063, which is prime.
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MATHEMATICA
| 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
| Sequence in context: A165667 A086711 A039514 * A098649 A078872 A181421
Adjacent sequences: A098794 A098795 A098796 * A098798 A098799 A098800
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KEYWORD
| nonn,base
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AUTHOR
| Ray G. Opao (1260(AT)email.com), Oct 05 2004
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EXTENSIONS
| 8 more terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Oct 30 2004
a(16)-a(20) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Mar 14 2010
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