A099067 Numbers n such that n=P(d_1*d_2*...*d_k) + P(d_1+d_2+...+d_k) where d_1 d_2 ... d_k is the decimal expansion of n and P(i) is the i-th prime.

82, 92, 194, 149868

Offset

1,1

Comments

All terms of this sequence are even. Next term (if it exists) is greater than 25000000.

Links

Table of n, a(n) for n=1..4.

Example

149868 is in the sequence because 149868=149717+151=P(1*4*9*8*6*8)+P(1+4+9+8+6+8).

Mathematica

Do[h=IntegerDigits[n]; l=Length[h]; If[ !MemberQ[h, 0]&& n==Prime[Product[h[[k]], {k, l}]]+Prime[Sum[h[[k]], {k, l}]], Print[n]], {n, 25000000}]

Crossrefs

Cf. A099068, A099069.

Sequence in context: A305278 A025370 A282114 * A304891 A316573 A294308

Adjacent sequences: A099064 A099065 A099066 * A099068 A099069 A099070

Keyword

base,more,nonn

Author

Farideh Firoozbakht, Oct 08 2004

Status

approved