|
%I #12 Mar 21 2013 13:13:25
%S 1,2,3,4,6,8,9,10,12,15,16,17,19,20,21,24,25,27,28,35,39,40,45,53,57,
%T 58,60,61,69,70,72,79,85,89,90,91,93,96,98,104,108,120,124,145,146,
%U 147,150,162,236,237,253,254,259,315,316,359,380,384,390,405,406,460,461,518
%N Numbers n such that n and prime[n] together use only distinct digits.
%C There are exactly 101 such numbers in the sequence. Numbers with distinct digits in A010784. Primes with distinct digits in A029743. The case n and n^2 (exactly 22 numbers) in A059930.
%C A178788(A045532(a(n))) = 1. [From _Reinhard Zumkeller_, Jun 30 2010]
%H Giovanni Resta, <a href="/A085451/b085451.txt">Table of n, a(n) for n = 1..101</a> (full sequence)
%e 3106 is in the sequence (and the last term) because it and prime[3106]=28549 together use all 10 distinct digits.
%t bb = {}; Do[idpn = IntegerDigits[Prime[n]]; idn = IntegerDigits[n]; If[Length[idn] + Length[idpn] == Length[Union[idn, idpn]], bb = {bb, n}], {n, 1, 100000}]; Flatten[bb]
%Y Cf. A010784 A029743 A059930 A085452.
%K fini,full,nonn,base
%O 1,2
%A _Zak Seidov_, Jul 01 2003
|
