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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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2
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OFFSET
| 1,1
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COMMENTS
| There is no other term up to 15000000.
a(7) > 10^12. [From Donovan Johnson (donovan.johnson(AT)yahoo.com), Mar 26 2010]
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LINKS
| C. Rivera, Puzzle 279The Prime Puzzles & Problems connection.
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EXAMPLE
| 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
| 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
| Cf. A099067, A099069, A097223, A097227.
Sequence in context: A042026 A042028 A069756 * A044355 A044736 A033211
Adjacent sequences: A099065 A099066 A099067 * A099069 A099070 A099071
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KEYWORD
| base,more,nonn
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AUTHOR
| Farideh Firoozbakht (baran4560(AT)yahoo.com), Oct 29 2004
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EXTENSIONS
| Definition corrected by D. S. McNeil, Mar 14 2009
a(6) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Mar 26 2010
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