I don't count the 405 <--> 076 pairs as having happened three times because two of the pairs were the result of a double, however, for folks who are interested, here is a fun tidbit from the history of the Virginia Pick 3.
08/27/01; 405;445 | 02/18/04; 405;405 | 01/08/14; 405;155 <-405
08/28/01; 616;295 | 02/19/04; 171;494 | 01/09/14; ???;???
08/29/01; 990;755 | 02/20/04; 451;875 | 01/10/14; ???;???
08/30/01; 343;292 | 02/21/04; 196;339 | 01/11/14; ???;???
08/31/01; 364;971 | 02/23/04; 921;660 | 01/12/14; ???;???
09/01/01; 007;118 | 02/24/04; 063;021 | 01/13/14; ???;???
09/03/01; 811;098 | 02/25/04; 073;345 | 01/14/14; ???;???
09/04/01; 697;269 | 02/26/04; 570;378 | 01/15/14; ???;???
09/05/01; 870;958 | 02/27/04; 553;380 | 01/16/14; ???;???
09/06/01; 865;790 | 02/28/04; 909;134 | 01/17/14; ???;???
09/07/01; 680;567 | 03/01/04; 802;532 | 01/18/14; ???;???
09/08/01; 137;948 | 03/02/04; 208;104 | 01/19/14; ???;???
09/10/01; 002;807 | 03/03/04; 778;201 | 01/20/14; ???;???
09/11/01; 255;230 | 03/04/04; 308;476 | 01/21/14; ???;???
09/12/01; 750;279 | 03/05/04; 380;730 | 01/22/14; ???;???
09/13/01; 163;070 | 03/06/04; 025;092 | 01/23/14; ???;???
09/14/01; 076;769 | 03/08/04; 723;076 | 01/24/14; 076;076 <-076