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Search: id:A099068
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| A099068 |
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Numbers n such that n=P(d_1)*P(d_2)*...*P(d_k)+(P(d_1)+P(d_2)+...+P(d_k)) where d_1 d_2 ... d_k is the decimal expansion of n and P(i) is the i-th prime. |
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+0
3
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OFFSET
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1,1
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COMMENT
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There is no other term up to 15000000.
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LINKS
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C. Rivera, Puzzle 279The Prime Puzzles & Problems connection.
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EXAMPLE
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1637682 is in the sequence because 1637682=
P(1)*P(6)*P(3)*P(7)*P(6)*P(8)*P(2)+(P(1)+P(6)+P(3)+P(7)+P(6)+P(8)+P(2)).
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MATHEMATICA
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Do[h=IntegerDigits[n]; l=Length[h]; If[ !MemberQ[h, 0]&&n==Product[Prime[h[[k]]], {k, l}]+Sum[Prime[h[[k]]], {k, l}], Print[n]], {n, 15000000}]
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CROSSREFS
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Cf. A099067, A099069, A097223, A097227.
Sequence in context: A042026 A042028 A069756 this_sequence A044355 A044736 A033211
Adjacent sequences: A099065 A099066 A099067 this_sequence A099069 A099070 A099071
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KEYWORD
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base,more,nonn
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AUTHOR
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Farideh Firoozbakht (baran4560(AT)yahoo.com), Oct 29 2004
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EXTENSIONS
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Definition corrected by D. S. McNeil, Mar 14 2009
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