

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 ith prime.


2




OFFSET

1,1


COMMENTS

There is no other term up to 15000000.
There are no other terms < 10^44.  Chai Wah Wu, Aug 12 2017


LINKS

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



KEYWORD

base,more,nonn


AUTHOR



EXTENSIONS



STATUS

approved



