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A064156 Smallest prime with n decimal digits such that the product of its digits equals n times the sum of its digits, or 0 if no such prime exists. 1
2, 0, 167, 1427, 0, 126241, 1111457, 12222241, 111113543, 0, 0, 111111118273, 0, 0, 111111111126581, 1111111111144841, 0, 111111111111126443, 0, 11111111111122225421, 111111111111111135781, 0, 0, 111111111111111111244561, 1111111111111111121255521, 0, 111111111111111111111113797 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Max Alekseyev, Table of n, a(n) for n=1..200

EXAMPLE

167 belongs to the sequence because this is the smallest prime with 3 digits such that 1*6*7=42 and 3*(1+6+7)=42

MATHEMATICA

NextPrim[ n_ ] := (k = n + 1; While[ ! PrimeQ[ k ], k++ ]; k); Do[ If[ n != 1 && Transpose[ FactorInteger[ n ] ][ [ 1, -1 ] ] <= 10, k = NextPrim[ (10^n - 1)/9 ];

While[ d = IntegerDigits[ k ]; k < 10^n && n*Apply[ Plus, d ] != Apply[ Times, d ], k = NextPrim[ k ] ]; If[ k < 10^n, Print[ k ], Print[ 0 ] ], If[ n == 1, Print[ 2 ], Print[ 0 ] ] ], {n, 1, 9} ]

CROSSREFS

Sequence in context: A003321 A012333 A012329 * A012335 A012331 A037096

Adjacent sequences:  A064153 A064154 A064155 * A064157 A064158 A064159

KEYWORD

nonn,base

AUTHOR

Felice Russo, Sep 14 2001

EXTENSIONS

Corrected and extended by Robert G. Wilson v, Oct 05 2001

a(14), a(20), a(25) and b-file from Max Alekseyev, May 07 2009

STATUS

approved

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Last modified December 22 07:03 EST 2014. Contains 252328 sequences.