A085453 Numbers n such that n^2 and n^3 together use only distinct digits.

2, 3, 8, 9, 24, 69

Offset: 1

Author

Zak Seidov, Jul 01 2003

Keywords

• fini
• full
• nonn
• base

Comments

There are only six such numbers (in base 10). Numbers with distinct digits in A010784. Primes with distinct digits in A029743. The case n and n^2 (exactly 22 numbers) in A059930. The case n and prime[n] (exactly 101 numbers) in A085451.

Examples

			69 is (the last) term because 69^2=4761 and 69^3=328509 together use all 10 distinct digits.
		

Crossrefs

Cf. A010784 A029743 A059930 A085451

Programs

Mathematica

bb = {}; Do[idpn = IntegerDigits[n^3]; idn = IntegerDigits[n^2]; If[Length[idn] + Length[idpn] == Length[Union[idn, idpn]], bb = {bb, n}], {n, 1, 10000}]; Flatten[bb]