A294665 Numbers m such that the largest digit of m^3 is 5.

5, 8, 50, 74, 80, 81, 107, 171, 177, 237, 351, 378, 468, 487, 500, 605, 684, 737, 740, 800, 810, 1064, 1070, 1271, 1311, 1365, 1474, 1605, 1645, 1710, 1724, 1758, 1770, 2247, 2364, 2370, 2474, 2485, 2824, 2885, 2925, 3247, 3510, 3780, 4680, 4718, 4870, 4934, 5000, 5247

Offset

1,1

Comments

For any term a(n), all numbers of the form a(n)*10^k, k >= 0, are in this sequence. Primitive terms, i.e., not of this form (or equivalently: without trailing '0'), are 5, 8, 74, 81, 107, 171, 177, 237, 351, 378, 468, 487, 605, 684, 737, 1064, 1271, 1311, 1365, 1474, 1605, 1645, 1724, 1758, ...

Links

Robert Israel, Table of n, a(n) for n = 1..2500

Example

8 is in the sequence because the largest digit of 8^3 = 512 is 5.

Maple

filter:= proc(n) max(convert(n^3, base, 10))=5 end proc:
select(filter, [$1..10^4]); # Robert Israel, Nov 28 2025

Mathematica

Select[Range[5000], Max[IntegerDigits[#^3]] == 5 &] (* Paolo Xausa, Dec 04 2025 *)

Prog

(PARI) for(n=1, 2e8, vecmax(digits(n^3))==5&&print1(n", "))

Crossrefs

Cf. A295025 (the corresponding cubes), A278937 and A294664 (same for digit 3 and 4).

Cf. A000578 (the cubes).

Sequence in context: A275571 A192379 A117474 * A323139 A284381 A165716

Adjacent sequences: A294662 A294663 A294664 * A294666 A294667 A294668

Keyword

nonn,base

Author

M. F. Hasler, Nov 12 2017

Status

approved