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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
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1,1
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COMMENTS
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There is no other term up to 15000000.
There are no other terms < 10^44. - Chai Wah Wu, Aug 12 2017
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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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KEYWORD
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base,more,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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