OFFSET
1,2
COMMENTS
Probably finite. Is 3937376385699289 the largest term?
No further terms up to 13^25000. - Harvey P. Dale, Oct 01 2011
No further terms up to 13^45000. - Vincenzo Librandi, Jul 31 2013
No further terms up to 13^(10^9). - Daniel Starodubtsev, Mar 22 2020
LINKS
M. F. Hasler, Zeroless powers, OEIS Wiki, Mar 07 2014
C. Rivera, Puzzle 607. A zeroless Prime power, on primepuzzles.net, Sept. 24, 2011.
W. Schneider, NoZeros: Powers n^k without Digit Zero (local copy of www.wschnei.de/digit-related-numbers/nozeros.html), as of Jan 30 2003.
MATHEMATICA
Select[13^Range[0, 250], DigitCount[#, 10, 0]==0&] (* Harvey P. Dale, Oct 01 2011 *)
PROG
(PARI) for(n=0, 9999, is_A052382(13^n) && print1(13^n, ", "))
(Magma) [13^n: n in [0..2*10^4] | not 0 in Intseq(13^n)]; // Bruno Berselli, Sep 26 2011
CROSSREFS
KEYWORD
nonn,base
AUTHOR
M. F. Hasler, Sep 25 2011
STATUS
approved