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

Author

Farideh Firoozbakht, Oct 08 2004

Keywords

• base
• more
• nonn

Comments

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

Examples

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

Crossrefs

Cf. A099068, A099069.

Programs

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}]