A195944 Numbers k such that 13^k has no zero in its decimal expansion.

0, 1, 2, 3, 4, 5, 7, 10, 14

Offset: 1

Author

M. F. Hasler, Sep 25 2011

Keywords

• nonn
• base

Comments

Probably finite. Is 14 the largest term?

Links

• Carlos Rivera, Puzzle 607. A zeroless Prime power

Crossrefs

Cf. A195942, A195943, A195945, A195946, A195908, A195948, A052382, A007377, A008839, A030700, A030701, A030702, A030704, A030705, A030706.

Programs

Magma

[n: n in [0..1000] | not 0 in Intseq(13^n) ]; // Vincenzo Librandi, May 06 2015

Mathematica

Select[Range[0,20],DigitCount[13^#,10,0]==0&] (* Harvey P. Dale, May 24 2023 *)

PARI

for( n=0,9999, is_A052382(13^n) && print1(n","))

Formula

Equals { n | A001022(n) is in A052382 }.

Extensions

Keyword:fini removed by Jianing Song, Jan 28 2023 as finiteness is only conjectured.