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

Author

M. F. Hasler, Nov 12 2017

Keywords

• nonn
• base

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, ...

Examples

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

Crossrefs

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

Cf. A000578 (the cubes).

Programs

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

Formula

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