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%I #10 Aug 12 2017 09:59:21
%S 23,119,428,918,1637682,652827658771
%N 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.
%C There is no other term up to 15000000.
%C a(7) > 10^12. [_Donovan Johnson_, Mar 26 2010]
%C There are no other terms < 10^44. - _Chai Wah Wu_, Aug 12 2017
%H C. Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_279.htm">Puzzle 279</a>The Prime Puzzles & Problems connection.
%e 1637682 is in the sequence because 1637682=
%e 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)).
%t 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}]
%Y Cf. A099067, A099069, A097223, A097227.
%K base,more,nonn
%O 1,1
%A _Farideh Firoozbakht_, Oct 29 2004
%E Definition corrected by _D. S. McNeil_, Mar 14 2009
%E a(6) from _Donovan Johnson_, Mar 26 2010
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