Wyo. Stat. § 22-5-304: Qualifications and number of signers required.

(a) For a statewide partisan office, a petition shall be signed by registered electors, resident in the state and eligible to vote for the petitioner, numbering not less than two percent (2%) of the total number of votes cast for representative in congress in the last general election for the entire state.

(b) For a countywide partisan office, a petition shall be signed by registered electors, resident in the county and eligible to vote for the petitioner, numbering not less than two percent (2%) of the total number of votes cast for representative in congress in the last general election for the entire county.

(c) For a district partisan election, a petition shall be signed by registered electors, resident in the district and eligible to vote for the petitioner, numbering not less than two percent (2%) of the total number of votes cast for the office in that particular district in the last general election. If a district's boundaries have changed since the last general election, then the required number of petition signatures shall not be less than two percent (2%) of the number of registered voters in the current district boundaries at the close of day on the day immediately preceding the primary election.