A291644 Numbers k such that 5 is the smallest decimal digit of k^3.

19, 423, 1786, 1966, 4053, 4235, 40326, 45882, 198823, 204782, 442693, 2131842, 3911966, 4061115, 4081435, 4603475, 8789299, 18027632, 40987223, 42647176, 44100092, 46097753, 88776682, 96439993, 96540315, 98954326, 190349299, 197967719, 423185632, 428896755, 463968436

Offset: 1

Author

Colin Barker, Aug 28 2017

Keywords

• nonn
• base

Comments

The first digit cannot be 5 or 6 and the last digit must be 2, 3, 5, 6, or 9. - Chai Wah Wu, Aug 28 2017

92 is the smallest number such that 6 is the smallest decimal digit of its cube (92^3 = 778688). - Chai Wah Wu, Dec 05 2017

Examples

			19 is in the sequence because 19^3 = 6859, the smallest decimal digit of which is 5.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..100

Crossrefs

Cf. A291639, A291640, A291641, A291642, A291643.

Programs

PARI

select(k->vecmin(digits(k^3))==5, vector(20000000, k, k))

Python

A291644_list = [k for k in range(1,10**6) if min(str(k**3)) == '5'] # Chai Wah Wu, Aug 28 2017

Extensions

a(19)-a(31) from Chai Wah Wu, Aug 28 2017