A112719 - OEIS

A112719

Numbers n such that pi(n)=d_1^1+d_2^2+...+d_k^k where d_1 d_2 ... d_k is the decimal expansion of n.

0, 12, 160, 253, 382, 3664, 4683, 9285, 66290, 207735, 390481, 3748380, 7884391, 9136095, 11187665, 12690170, 15008945, 32067066, 34152082, 43470982, 311506482, 315458182, 317195680, 317583584, 789530607, 803190747, 818360167

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OFFSET

1,2

COMMENTS

This sequence is finite and the largest term is less than 10^73.

LINKS

Table of n, a(n) for n=1..27.

EXAMPLE

43470982 is in the sequence because pi(43470982)=4^1+3^2+4^3

+7^4+0^5+9^6+8^7+2^8.

MATHEMATICA

Do[d=IntegerDigits[n]; k=Length[d]; If[PrimePi[n]==Sum[d[[j]]^j, {j, k}], Print[n]], {n, 0, 170000000}]

CROSSREFS

Cf. A032799, A112718, A112720.

Sequence in context: A226297 A286721 A349154 * A091019 A355844 A219418

Adjacent sequences: A112716 A112717 A112718 * A112720 A112721 A112722

KEYWORD

base,fini,nonn

AUTHOR

Farideh Firoozbakht, Sep 17 2005

EXTENSIONS

a(21)-a(27) from Donovan Johnson, Nov 09 2010

STATUS

approved