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 A099068 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. 2
 23, 119, 428, 918, 1637682, 652827658771 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS There is no other term up to 15000000. a(7) > 10^12. [Donovan Johnson, Mar 26 2010] There are no other terms < 10^44. - Chai Wah Wu, Aug 12 2017 LINKS Table of n, a(n) for n=1..6. C. Rivera, Puzzle 279The Prime Puzzles & Problems connection. 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)). 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}] CROSSREFS Cf. A099067, A099069, A097223, A097227. Sequence in context: A367722 A293565 A362569 * A220408 A044355 A044736 Adjacent sequences: A099065 A099066 A099067 * A099069 A099070 A099071 KEYWORD base,more,nonn AUTHOR Farideh Firoozbakht, Oct 29 2004 EXTENSIONS Definition corrected by D. S. McNeil, Mar 14 2009 a(6) from Donovan Johnson, Mar 26 2010 STATUS approved

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Last modified June 16 11:45 EDT 2024. Contains 373429 sequences. (Running on oeis4.)