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Note 3 - Loans - Analysis of the Credit Risk Profile of Each Loan Class (Details) - USD ($)
$ in Thousands
 9 Months Ended 12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Dec. 31, 2022
Loans $ 952,499 $ 906,514 $ 920,523
Current period gross write-offs, total 1,228 393 529
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 2,625    
Loans, one year before 3,311    
Loans, two years before 7,824    
Loans, three years before 2,613    
Loans, four years before 2,127    
Loans, prior 3,329    
Loans, revolving 28,576    
Loans 50,405 51,352 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 2,625    
Loans, one year before 3,311    
Loans, two years before 7,824    
Loans, three years before 2,613    
Loans, four years before 2,127    
Loans, prior 3,290    
Loans, revolving 28,576    
Loans 50,366   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 39    
Loans, revolving 0    
Loans 39   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 32,461    
Loans, one year before 78,142    
Loans, two years before 65,474    
Loans, three years before 42,454    
Loans, four years before 33,258    
Loans, prior 79,546    
Loans, revolving 9,438    
Loans 340,773 317,414 331,421
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 6 6
Real Estate 1 [Member] | Secured by Multi-family Residential Properties [Member] | Pass [Member]      
Loans, current year 32,461    
Loans, one year before 78,044    
Loans, two years before 65,455    
Loans, three years before 42,454    
Loans, four years before 33,258    
Loans, prior 78,826    
Loans, revolving 9,438    
Loans 339,936   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 98    
Loans, two years before 19    
Loans, three years before 0    
Loans, four years before 0    
Loans, prior 720    
Loans, revolving 0    
Loans 837   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 34,365    
Loans, one year before 93,010    
Loans, two years before 87,799    
Loans, three years before 42,599    
Loans, four years before 40,686    
Loans, prior 123,320    
Loans, revolving 11,398    
Loans 433,177 417,504 418,456
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 34,365    
Loans, one year before 93,010    
Loans, two years before 87,799    
Loans, three years before 42,599    
Loans, four years before 40,686    
Loans, prior 123,320    
Loans, revolving 11,331    
Loans 433,110   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 0    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans 0   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 0    
Loans, revolving 67    
Loans 67   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 21,279    
Loans, one year before 33,086    
Loans, two years before 25,491    
Loans, three years before 4,473    
Loans, four years before 5,135    
Loans, prior 9,616    
Loans, revolving 18,050    
Loans 117,130 112,145 111,225
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 624    
Current period gross write-offs, four years before 0    
Current period gross write-offs, prior 253    
Current period gross write-offs, revolving 0    
Current period gross write-offs, total 877 (0) 32
Commercial and Industrial Loans [Member] | Pass [Member]      
Loans, current year 21,279    
Loans, one year before 30,216    
Loans, two years before 25,491    
Loans, three years before 4,373    
Loans, four years before 5,135    
Loans, prior 8,729    
Loans, revolving 18,050    
Loans 113,273   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 0    
Loans, four years before 0    
Loans, prior 0    
Loans, revolving 0    
Loans 0   75
Commercial and Industrial Loans [Member] | Substandard [Member]      
Loans, current year 0    
Loans, one year before 2,870    
Loans, two years before 0    
Loans, three years before 100    
Loans, four years before 0    
Loans, prior 887    
Loans, revolving 0    
Loans 3,857   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 2,625    
Loans, one year before 1,408    
Loans, two years before 395    
Loans, three years before 1,505    
Loans, four years before 2,222    
Loans, prior 29    
Loans, revolving 2,830    
Loans 11,014 8,099 7,581
Current period gross write-offs, current year 273    
Current period gross write-offs. one year before 55    
Current period gross write-offs, two years before 3    
Current period gross write-offs, three years before 14    
Current period gross write-offs, four years before 3    
Current period gross write-offs, prior 3    
Current period gross write-offs, revolving 0    
Current period gross write-offs, total 351 $ 387 491
Consumer and Other Loans [Member] | Pass [Member]      
Loans, current year 2,625    
Loans, one year before 1,408    
Loans, two years before 395    
Loans, three years before 1,505    
Loans, four years before 2,222    
Loans, prior 29    
Loans, revolving 2,830    
Loans 11,014   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