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Note 5 - Stockholders' Equity - Schedule of Stockholders' Equity warrant outstanding and exercisable (Details) | 12 Months Ended
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Dec. 31, 2024 $ / shares shares
Number of warrants outstanding | shares | 6,745,213 | [1]
Weighted average exercise price | $ / shares | $ 4.53 | [1]
Weighted Average Remaining Contractual Life (Years) | 5 years 1 month 28 days | [1]
December 2024 Offering PreFunded Common Stock Warrants [Member] |  |
Number of warrants outstanding | shares | 2,027,000 |
Weighted average exercise price | $ / shares | $ 0.0001 |
December 2024 Offering Common Stock Warrants [Member] |  |
Number of warrants outstanding | shares | 3,278,688 |
Weighted average exercise price | $ / shares | $ 1.4 |
Weighted Average Remaining Contractual Life (Years) | 4 years 11 months 12 days |
May Two Thousand Twenty Four Offering [Member] |  |
Number of warrants outstanding | shares | 922,863 |
Weighted average exercise price | $ / shares | $ 1.4 |
Weighted Average Remaining Contractual Life (Years) | 6 years 4 months 2 days |
February 2024 Warrant Inducement Replacement Common Stock Warrants [Member] |  |
Number of warrants outstanding | shares | 228,158 |
Weighted average exercise price | $ / shares | $ 6.17 |
Weighted Average Remaining Contractual Life (Years) | 4 years 1 month 2 days |
August 2024 Offering Series 2 Common Stock Warrants [Member] |  |
Number of warrants outstanding | shares | 6,748 |
Weighted average exercise price | $ / shares | $ 1.4 |
Weighted Average Remaining Contractual Life (Years) | 2 years 7 months 9 days |
Bridge, January 2021, and July 2021 Common Stock Warrants [Member] |  |
Number of warrants outstanding | shares | 1,144 |
Weighted average exercise price | $ / shares | $ 58.2 |
Weighted Average Remaining Contractual Life (Years) | 1 year 9 months |
Placement Agent, Solicitor and Representative Common Stock Warrants [Member] |  |
Number of warrants outstanding | shares | 274,693 |
Weighted average exercise price | $ / shares | $ 10.98 |
Weighted Average Remaining Contractual Life (Years) | 4 years 7 months 28 days |
All Other Common Stock Warrants [Member] |  |
Number of warrants outstanding | shares | 5,919 |
Weighted average exercise price | $ / shares | $ 3,418.56 |
Weighted Average Remaining Contractual Life (Years) | 1 year 6 months |
[1] | (1) The pre-funded common stock warrants granted and outstanding during the year ended December 31, 2024 have a perpetual term and are therefore excluded from the calculation of the weighted average remaining contractual life.

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