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A098797 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. 0
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; text; internal format)
OFFSET

1,2

COMMENTS

a(21) > 51111. - Donovan Johnson, Mar 14 2010

LINKS

Table of n, a(n) for n=1..20.

EXAMPLE

a(4)=34: 34^(3*4)+(3+4) = 2386420683693101063, which is prime.

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}] (* Robert G. Wilson v, Oct 23 2004 *)

CROSSREFS

Sequence in context: A339180 A086711 A039514 * A271999 A317453 A339247

Adjacent sequences:  A098794 A098795 A098796 * A098798 A098799 A098800

KEYWORD

nonn,base

AUTHOR

Ray G. Opao, Oct 05 2004

EXTENSIONS

8 more terms from Robert G. Wilson v, Oct 30 2004

a(16)-a(20) from Donovan Johnson, Mar 14 2010

STATUS

approved

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Last modified May 11 21:35 EDT 2021. Contains 343808 sequences. (Running on oeis4.)