A294665 Numbers n such that the largest digit of n^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

Author

M. F. Hasler, Nov 12 2017

Keywords

• nonn
• base

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, ...

Examples

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

Crossrefs

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

Cf. A000578 (the cubes).

Programs

PARI

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