A366080 Numbers that give a perfect power when added to their reverse.

2, 4, 8, 29, 38, 47, 56, 65, 74, 83, 92, 110, 122, 143, 164, 198, 221, 242, 263, 297, 320, 341, 362, 396, 440, 461, 495, 560, 594, 693, 792, 891, 990, 1030, 1120, 1210, 1300, 10100, 10148, 10340, 10395, 10403, 10683, 10908, 10980, 11138, 11330, 11385, 11673

Offset: 1

Author

Tanmaya Mohanty, Oct 24 2023

Keywords

• nonn
• base

Examples

			8 is a term because 8 + 8 = 16 = 2^4 or 4^2.
10340 is a term because 10340 + 04301 = 14641 is a perfect power 11^4.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..2000

Crossrefs

Cf. A001597, A056964.

Programs

Maple

filter:= proc(n) local L,i,x;
  L:= convert(n,base,10);
  x:= add(10^(i-1)*L[-i],i=1..nops(L));
  igcd(ifactors(n+x)[2][..,2])>1;
end proc:
select(filter, [$1..20000]); # Robert Israel, Oct 24 2023

PARI

isok(k) = ispower(k + fromdigits(Vecrev(digits(k)))); \\ Michel Marcus, Oct 24 2023

Extensions

More terms from Robert Israel, Oct 24 2023