OFFSET
1,2
COMMENTS
Probably finite. Is 378818692265664781682717625943 the largest term?
No further terms up to 7^50,000, a number with 42,255 digits. - Harvey P. Dale, Jul 14 2022
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[7^Range[0, 50], DigitCount[#, 10, 0]==0&] (* Harvey P. Dale, Jul 14 2022 *)
PROG
(PARI) for( n=1, 9999, is_A052382(7^n) && print1(7^n, ", "))
(Magma) [7^n: n in [0..3*10^4] | not 0 in Intseq(7^n)]; // Bruno Berselli, Sep 26 2011
CROSSREFS
KEYWORD
nonn,base
AUTHOR
M. F. Hasler, Sep 25 2011
EXTENSIONS
Keyword:fini removed by Jianing Song, Jan 28 2023 as finiteness is only conjectured.
STATUS
approved