MADISON, Wis. (AP) — The Latest on candidates vying to fill three open seats in the Wisconsin Legislature (all times local):

5:30 p.m.

More than a dozen candidates are officially vying to fill three open seats in the Wisconsin Legislature.

The deadline for filing nomination papers to run for open seats in the 10th Senate District, the 58th Assembly District and the 66th Assembly District was 5 p.m. Tuesday.

Seven candidates, including three Republicans, three Democrats and one Libertarian filed to run for the Senate seat.

One of the Republicans, Ken Rimer, turned in only 389 valid signatures but needed 400 to get on the ballot. State Elections Commission spokesman Reid Magney says it's unclear if Rimer would be disqualified or given a chance to supply 11 more valid signatures. The Libertarian candidate, Brian Corriea, also filed only 393 valid signatures.

Five candidates — four Republicans and one Democrat — had filed to run in the 58th Assembly District. Two candidates, both Democrats, had filed to run in the 66th Assembly District.

The primary for each seat is Dec. 19. The general election is Jan. 16.

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2:25 p.m.

More candidates are filing to run for open seats in the Wisconsin Legislature.

Voters will fill an open seat in the Senate and two open seats in the Assembly over the next two months. Primaries are set for Dec. 19 with the general elections on Jan. 16. The deadline for filing nomination papers is 5 p.m. Tuesday.

Republican state Reps. Adam Jarchow and Shannon Zimmerman and Democrat Patty Schachtner are vying to replace Republican Sen. Sheila Harsdorf, who resigned this month to become state agriculture secretary. Another Democrat, Reuben Hefindahl, registered to run Tuesday.

Three Republicans — Spencer Zimmerman, Steve Stanek and Tiffany Koehler — along with Democrat Dennis Degenhardt and socialist Christopher Cook are looking to fill the late Republican Rep. Robert Gannon's seat. A fourth Republican, Rick Gundrum of Slinger, registered to run for the seat Tuesday.

Democrats Greta Neubauer and John Tate II are running to replace Democratic Rep. Cory Mason, who plans to resign after he was elected mayor of Racine.

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8:40 a.m.

Election season is starting early in Wisconsin.

Voters will fill three open seats in the Legislature over the next two months. Primaries are set for Dec. 19 with the general elections scheduled for Jan. 16.

Republican Reps. Adam Jarchow and Shannon Zimmerman and Democrat Patty Schachtner are vying to replace Republican Sen. Sheila Harsdorf. She gave up her seat this month to become state agriculture secretary.

Democrats Greta Neubauer and John Tate II are running to replace incumbent Democratic Rep. Cory Mason. Mason plans to resign Jan. 15 after he was elected mayor of Racine.

Three Republicans — Spencer Zimmerman, Steve Stanek and Tiffany Koehler — along with Democrat Dennis Degenhardt and socialist Christopher Cook are looking to fill Republican Rep. Robert Gannon's seat. Gannon died in October.