But the official senate record shows that Cheney was president of the senate twice in four years, the same number of times Edwards served in that role.

2001-01-30 - Enzi 2001-02-06 - Chafee 2001-02-13 - Chafee 2001-02-27 - Allen 2001-03-06 - Burns 2001-03-13 - Reid 2001-03-20 - DeWine 2001-03-27 - Chafee 2001-04-03 - Smith 2001-04-24 - Chafee 2001-05-01 - Chafee 2001-05-08 - Chafee 2001-05-15 - Frist 2001-05-22 - Chafee 2001-06-05 - Enzi 2001-06-12 - Byrd 2001-06-19 - Carper 2001-06-26 - Bayh 2001-06-10 - Nelson 2001-06-17 - Clinton 2001-06-24 - Byrd 2001-07-31 - Stabenaw 2001-09-25 - Wellstone 2001-10-02 - Clinton 2001-10-09 - Clinton 2001-10-16 - Edwards 2001-10-23 - Byrd 2001-10-30 - Bingaman 2001-11-13 - Murray 2001-11-27 - Jeffords 2001-12-04 - Stabenaw 2001-12-11 - Carnahan 2001-12-18 - Nelson

2002-01-29 - Nelson 2002-02-05 - Kohl 2002-02-12 - Stabenow 2002-02-26 - Landrieu 2002-03-05 - Edwards 2002-03-12 - Landrieu 2002-03-19 - Miller 2002-04-09 - Cleland 2002-04-16 - Reed 2002-04-23 - Wellstone 2002-04-30 - Nelson 2002-05-07 - Miller 2002-05-14 - Cleland 2002-05-21 - Nelson 2002-06-04 - Durbin 2002-06-11 - Corzine 2002-06-18 - Dayton 2002-06-25 - Landrieu 2002-07-09 - Reed 2002-07-16 - Corzine 2002-07-23 - Reed 2002-07-30 - Clinton 2002-09-03 - Reed 2002-09-10 - Corzine 2002-09-17 - Reid 2002-09-24 - Stabenow 2002-10-01 - Miller 2002-10-08 - Miller 2002-10-15 - Reid 2002-11-12 - Cheney 2002-11-19 - Barkley

2003-01-07 Cheney 2003-01-14 Stevens 2003-01-22 Stevens 2003-01-28 Stevens 2003-02-04 Stevens 2003-02-11 Stevens 2003-02-25 Stevens 2003-03-04 Stevens 2003-03-11 Stevens 2003-03-18 Stevens 2003-03-25 Stevens 2003-04-01 Stevens 2003-04-08 Stevens 2003-04-29 Stevens 2003-05-06 Talent 2003-05-13 Ensign 2003-05-20 Alexander 2003-06-03 Stevens 2003-06-10 Stevens 2003-06-18 Murkowski 2003-06-24 Coleman 2003-06-08 Stevens 2003-07-15 Stevens 2003-07-22 Chaffee 2003-07-29 Stevens 2003-09-02 Stevens 2003-09-09 Stevens 2003-09-16 Stevens 2003-09-23 Stevens 2003-09-30 Sununu 2003-10-21 Stevens 2003-10-28 Stevens 2003-11-04 Stevens 2003-11-11 Warner 2003-11-18 Stevens 2003-12-09 Stevens

2004-01-20 - Stevens 2004-01-27 - Enzi 2004-02-03 - Stevens 2004-02-10 - Stevens 2004-03-02 - Stevens 2004-03-09 - Hagel 2004-03-16 - Sununu 2004-03-23 - Stevens 2004-03-30 - Ensign 2004-04-06 - Cornyn 2004-04-20 - Stevens 2004-04-27 - Chambliss 2004-05-04 - Stevens 2004-05-11 - Stevens 2004-05-18 - Stevens 2004-06-01 - Stevens 2004-06-08 - Hutchinson 2004-06-15 - Stevens 2004-06-22 - Allard 2004-07-06 - Burns 2004-07-13 - Stevens 2004-07-20 - Enzi 2004-09-07 - Stevens 2004-09-14 - Chafee 2004-09-21 - Enzi 2004-09-28 - Stevens 2004-10-05 - Stevens

LA Times has an article "Cheney and Edwards Have Met Before" which also notes:

He does attend the GOP senators' weekly luncheons to discuss party strategy. But only Republicans attend, and Cheney usually breezes into the building, goes to the meeting, then leaves without hobnobbing with Democrats. In fact, Cheney was teased by Sen. Patrick J. Leahy (D-Vt.) for only associating with Republicans when, in an encounter on the Senate floor, Cheney cursed at Leahy.

Fakte, Cheney servis kiel senata prezidanta funkciulo nur dufoje, same al Edwards.