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Note 3 - Loans - Analysis of the Credit Risk Profile of Each Loan Class (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Dec. 31, 2022
Loans $ 917,967 $ 836,423 $ 920,523
Current period gross write-offs, total 977 106 529
Pass [Member]      
Loans     915,590
Special Mention [Member]      
Loans     1,959
Substandard [Member]      
Loans     2,974
Doubtful [Member]      
Loans     0
Real Estate 1 [Member] | Construction and Land Development [Member]      
Loans, current year 627    
Loans, one year before 3,598    
Loans, two years before 8,074    
Loans, three years before 2,695    
Loans, four years before 2,327    
Loans, prior 4,907    
Loans, revolving 26,382    
Loans 48,610 49,308 51,840
Current period gross write-offs, current year 0    
Current period gross write-offs. one year before 0    
Current period gross write-offs, two years before 0    
Current period gross write-offs, three years before 0    
Current period gross write-offs, four years before 0    
Current period gross write-offs, prior 0    
Current period gross write-offs, revolving 0    
Current period gross write-offs, total 0 (0) (0)
Real Estate 1 [Member] | Construction and Land Development [Member] | Pass [Member]      
Loans, current year 627    
Loans, one year before 3,598    
Loans, two years before 8,074    
Loans, three years before 2,695    
Loans, four years before 2,327    
Loans, prior 3,863    
Loans, revolving 26,382    
Loans 47,566   50,795
Real Estate 1 [Member] | Construction and Land Development [Member] | Special Mention [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans 0   0
Real Estate 1 [Member] | Construction and Land Development [Member] | Substandard [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 1,044    
Loans, revolving 0    
Loans 1,044   1,045
Real Estate 1 [Member] | Construction and Land Development [Member] | Doubtful [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans 0   0
Real Estate 1 [Member] | Secured by Multi-family Residential Properties [Member]      
Loans, current year 8,910    
Loans, one year before 65,912    
Loans, two years before 65,803    
Loans, three years before 41,706    
Loans, four years before 32,203    
Loans, prior 75,083    
Loans, revolving 44,685    
Loans 334,302 290,408 331,421
Current period gross write-offs, current year 0    
Current period gross write-offs. one year before 0    
Current period gross write-offs, two years before 0    
Current period gross write-offs, three years before 0    
Current period gross write-offs, four years before 0    
Current period gross write-offs, prior 0    
Current period gross write-offs, revolving 0    
Current period gross write-offs, total 0 (0) 6
Real Estate 1 [Member] | Secured by Multi-family Residential Properties [Member] | Pass [Member]      
Loans, current year 8,910    
Loans, one year before 65,912    
Loans, two years before 65,803    
Loans, three years before 41,706    
Loans, four years before 32,203    
Loans, prior 74,313    
Loans, revolving 44,685    
Loans 333,532   330,590
Real Estate 1 [Member] | Secured by Multi-family Residential Properties [Member] | Special Mention [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans 0   0
Real Estate 1 [Member] | Secured by Multi-family Residential Properties [Member] | Substandard [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 770    
Loans, revolving 0    
Loans 770   831
Real Estate 1 [Member] | Secured by Multi-family Residential Properties [Member] | Doubtful [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans 0   0
Real Estate 1 [Member] | Other Real Estate Loans [Member]      
Loans, current year 2,488    
Loans, one year before 94,258    
Loans, two years before 88,542    
Loans, three years before 43,922    
Loans, four years before 41,713    
Loans, prior 135,941    
Loans, revolving 9,137    
Loans 416,001 384,191 418,456
Current period gross write-offs, current year 0    
Current period gross write-offs. one year before 0    
Current period gross write-offs, two years before 0    
Current period gross write-offs, three years before 0    
Current period gross write-offs, four years before 0    
Current period gross write-offs, prior 0    
Current period gross write-offs, revolving 0    
Current period gross write-offs, total 0 (0) (0)
Real Estate 1 [Member] | Other Real Estate Loans [Member] | Pass [Member]      
Loans, current year 2,488    
Loans, one year before 94,258    
Loans, two years before 88,542    
Loans, three years before 42,553    
Loans, four years before 41,713    
Loans, prior 135,868    
Loans, revolving 9,137    
Loans 414,559   416,559
Real Estate 1 [Member] | Other Real Estate Loans [Member] | Special Mention [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 1,369    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans 1,369   1,884
Real Estate 1 [Member] | Other Real Estate Loans [Member] | Substandard [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 73    
Loans, revolving 0    
Loans 73   13
Real Estate 1 [Member] | Other Real Estate Loans [Member] | Doubtful [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans 0   0
Commercial and Industrial Loans [Member]      
Loans, current year 5,659    
Loans, one year before 35,448    
Loans, two years before 29,514    
Loans, three years before 4,812    
Loans, four years before 7,709    
Loans, prior 11,446    
Loans, revolving 16,349    
Loans 110,937 103,682 111,225
Current period gross write-offs, current year 0    
Current period gross write-offs. one year before 0    
Current period gross write-offs, two years before 0    
Current period gross write-offs, three years before 623    
Current period gross write-offs, four years before 0    
Current period gross write-offs, prior 228    
Current period gross write-offs, revolving 0    
Current period gross write-offs, total 851 8 32
Commercial and Industrial Loans [Member] | Pass [Member]      
Loans, current year 5,659    
Loans, one year before 35,448    
Loans, two years before 29,514    
Loans, three years before 4,743    
Loans, four years before 7,709    
Loans, prior 11,446    
Loans, revolving 16,349    
Loans 110,868   110,065
Commercial and Industrial Loans [Member] | Special Mention [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 69    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans 69   75
Commercial and Industrial Loans [Member] | Substandard [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans 0   1,085
Commercial and Industrial Loans [Member] | Doubtful [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans 0   0
Consumer and Other Loans [Member]      
Loans, current year 1,365    
Loans, one year before 2,028    
Loans, two years before 606    
Loans, three years before 1,643    
Loans, four years before 2,344    
Loans, prior 96    
Loans, revolving 35    
Loans 8,117 8,834 7,581
Current period gross write-offs, current year 82    
Current period gross write-offs. one year before 26    
Current period gross write-offs, two years before 1    
Current period gross write-offs, three years before 14    
Current period gross write-offs, four years before 0    
Current period gross write-offs, prior 3    
Current period gross write-offs, revolving 0    
Current period gross write-offs, total 126 $ 98 491
Consumer and Other Loans [Member] | Pass [Member]      
Loans, current year 1,365    
Loans, one year before 2,028    
Loans, two years before 606    
Loans, three years before 1,643    
Loans, four years before 2,344    
Loans, prior 96    
Loans, revolving 35    
Loans 8,117   7,581
Consumer and Other Loans [Member] | Special Mention [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans 0   0
Consumer and Other Loans [Member] | Substandard [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans 0   0
Consumer and Other Loans [Member] | Doubtful [Member]      
Loans, current year 0    
Loans, one year before 0    
Loans, two years before 0    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans $ 0   $ 0