A295025 Cubes whose largest digit is 5.

125, 512, 125000, 405224, 512000, 531441, 1225043, 5000211, 5545233, 13312053, 43243551, 54010152, 102503232, 115501303, 125000000, 221445125, 320013504, 400315553, 405224000, 512000000, 531441000, 1204550144, 1225043000, 2053225511, 2253243231, 2543302125

Offset

1,1

Comments

For any term a(n), all numbers of the form a(n)*10^3k, k >= 0, are in this sequence. Primitive terms, i.e., not of this form (or equivalently: without trailing '0'), are 125, 512, 405224, 531441, 1225043, 5000211, 5545233, 13312053, 43243551, ...

Links

Table of n, a(n) for n=1..26.

Formula

a(n) = A294665(n)^3.

Example

512 is in the sequence because it is a cube, 512 = 8^3, and its largest digit is 5.

Prog

(PARI) for(n=1, 2e8, vecmax(digits(n^3))==5&&print1(n^3, ", "))
(Python)
def ok(cube): return max(str(cube)) == "5"
print([c for c in (i**3 for i in range(1370)) if ok(c)]) # Michael S. Branicky, Dec 05 2021

Crossrefs

Cf. A294665 (the corresponding cube roots), A278936 and A294663 (same for digit 3 and 4).

Cf. A000578 (the cubes).

Sequence in context: A061450 A067974 A034290 * A070308 A211176 A045170

Adjacent sequences: A295022 A295023 A295024 * A295026 A295027 A295028

Keyword

nonn,base

Author

M. F. Hasler, Nov 12 2017

Status

approved