A295022 Cubes whose largest digit is 7.

27, 2744, 3375, 12167, 17576, 27000, 157464, 166375, 175616, 250047, 274625, 300763, 474552, 753571, 1157625, 1367631, 1771561, 2000376, 2352637, 2460375, 2571353, 2744000, 3176523, 3375000, 4330747, 4657463, 4741632, 5177717, 5451776, 6644672, 7645373, 11543176, 12167000

Offset

1,1

Comments

For any term a(n), all numbers of the form a(n)*10^3k, k >= 0, are in this sequence. We could call "primitive" the terms not of this form, i.e., those without trailing '0'.

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Formula

a(n) = A294997(n)^3.

Example

27 is in the sequence because it is a cube, 27 = 3^3, and its largest digit is 7.

Mathematica

Select[Range[250]^3, Max[IntegerDigits[#]] == 7 &] (* Paolo Xausa, Nov 28 2025 *)

Prog

(PARI) for(n=1, 250, vecmax(digits(n^3))==7 &&print1(n^3, ", "))

Crossrefs

Cf. A294997 (the corresponding cube roots); A278936, A294663, A295025, A295021, A295023, A295024 (same for digit 3 .. 9); A295017 (same for squares).

Cf. A000578 (the cubes).

Sequence in context: A395205 A323314 A395086 * A017427 A050644 A048567

Adjacent sequences: A295019 A295020 A295021 * A295023 A295024 A295025

Keyword

nonn,base

Author

M. F. Hasler, Nov 13 2017

Status

approved