Zero, but in 2004, one Minnesota Electoral vote was cast for John Edwards. This is somewhat unusual since the Electoral college has pledged to vote for the winner in each state. In general terms, an Electoral voter would have to "defect" in order to vote for an independent.
See link below for the 2000 Election results.
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Ralph Nader took 695,084 votes, but did not win any states.
Green Party
Bush won the electoral vote despite losing the national popular vote. George W. Bush won the 2000 presidential election defeating Albert Gore, Jr. In the 2000 presidential election George W. Bush received 271 (50.5%) electoral votes and Albert Gore, Jr. received 266 (49.5%) electoral votes. The popular vote totals were Gore 50,996,582 (50.3%) and Bush 50,456,062 (49.7%). Green Party candidate Ralph Nader won 2,882,955 popular votes. Nader did not receive any electoral votes.
counting the electoral votes that were cast in the presidential election
Ralph Nader's Green party won over 97000 votes in Florida which was much greater than the 537 vote difference between Bush and Gore in that state and Florida's 25 electoral votes were enough to tip the election to Bush.Of course one can not say how these people might have voted if Nader was not on the ballot. There were several other minor parties on the ballot. People who voted for Nader knew they were making a protest vote and did not like either of the major party candidates.