OFFSET
1,1
COMMENTS
This sequence also contains numbers not ending in 5 (i.e., 78369189).
a(1916) = 240510701 is the first semiprime with this property.
No pandigital number is in the sequence.
LINKS
Arkadiusz Wesolowski, Table of n, a(n) for n = 1..10000
Wikipedia, Prime factor
EXAMPLE
42279945 = 3*5*1049*2687 is in the sequence since the set {3, 5, 1049, 2687} can be formed from the digits 0 to 9 and each digit is used only once.
MATHEMATICA
lst = {}; Do[If[Equal[Sort@Flatten@IntegerDigits@FactorInteger[n][[All, {1}]], {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}] && SquareFreeQ[n], AppendTo[lst, n]], {n, 4*10^7 + 1, 7*10^7, 2}]; lst
ed1Q[n_]:=Module[{fi=FactorInteger[n]}, Max[Transpose[fi][[2]]]==1 && Union[ Flatten[IntegerDigits/@Transpose[fi][[1]]]]==Range[0, 9]]; Select[Range[ 4*10^7+ 1, 6.4*10^7, 2 ], ed1Q] (* Harvey P. Dale, Dec 19 2014 *)
CROSSREFS
KEYWORD
base,fini,nonn
AUTHOR
Arkadiusz Wesolowski, Jun 19 2012
STATUS
approved