A253644 - OEIS

A253644

Numbers n such that n^k is zeroless for k=0,...,5.

1, 2, 3, 5, 6, 13, 14, 17, 23, 24, 26, 31, 58, 62, 66, 68, 72, 76, 88, 96, 137, 168, 188, 233, 244, 262, 264, 296, 337, 376, 382, 383, 483, 488, 511, 514, 518, 519, 582, 628, 719, 736, 786, 816, 822, 928, 938, 971, 978, 1122, 1178, 1291, 1331, 1392, 1413, 1414, 1663, 1777

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

A subsequence of A252484 (analog for k <= 4) which contains A253647 (analog including k = 6) as a subsequence. Primes in this sequence are listed in A253645.

Conjectured to be finite.

LINKS

Giovanni Resta, Table of n, a(n) for n = 1..10000

MAPLE

filter:= proc(x)

local k;

for k from 1 to 5 do

if has(convert(x^k, base, 10), 0) then return false fi

od:

true

end proc:

select(filter, [$1..10000]); # Robert Israel, Jan 07 2015