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Search: id:A099067
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A099067 Numbers n such that n=P(d_1*d_2*...*d_k) + P(d_1+d_2+...+d_k) where d_1 d_2 ... d_k is the decimal expansion of n and P(i) is the i-th prime. +0
3
82, 92, 194, 149868 (list; graph; listen)
OFFSET

1,1

COMMENT

All terms of this sequence are even. Next term (if it exists) is greater than 25000000.

EXAMPLE

149868 is in the sequence because 149868=149717+151=P(1*4*9*8*6*8)+P(1+4+9+8+6+8).

MATHEMATICA

Do[h=IntegerDigits[n]; l=Length[h]; If[ !MemberQ[h, 0]&& n==Prime[Product[h[[k]], {k, l}]]+Prime[Sum[h[[k]], {k, l}]], Print[n]], {n, 25000000}]

CROSSREFS

Cf. A099068, A099069.

Sequence in context: A044982 A081648 A025370 this_sequence A025361 A037159 A039547

Adjacent sequences: A099064 A099065 A099066 this_sequence A099068 A099069 A099070

KEYWORD

base,more,nonn

AUTHOR

Farideh Firoozbakht (mymontain(AT)yahoo.com), Oct 08 2004

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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