A045582 Numbers k that divide 9^k + 2^k.

1, 11, 121, 1331, 14641, 161051, 1771561, 19487171, 214358881, 2357947691, 2852823787, 25937424601, 31381061657, 285311670611, 298369848073, 345191678227, 3138428376721, 3282068328803, 3797108460497, 34522712143931, 36102751616833, 41768193065467, 47932360823699

Offset

1,2

Comments

If k is a term, then so is 11*k. - Robert Israel, Sep 18 2025

Links

Table of n, a(n) for n=1..23.

Mathematica

Select[Range[200000], Divisible[PowerMod[2, #, #] + PowerMod[9, #, #], #] &] (* Amiram Eldar, Oct 23 2021 *)

Crossrefs

Cf. A074604.

Sequence in context: A088113 A045587 A059734 * A001020 A374725 A325203

Adjacent sequences: A045579 A045580 A045581 * A045583 A045584 A045585

Keyword

nonn

Author

David W. Wilson

Extensions

a(21)-a(23) from Max Alekseyev, Sep 18 2025

Status

approved