Just because the data sheet says 3.5 V at 20 mA it does not mean it must be used that way. Here is an exercise riving a white LED at different currents. Above is the schematic used. I started at the low end and increased current until the LED lit up. To my surprise the LED was almost always lit, even as low as 0.05 mA, yep 50 uA and it still lit a bit. Attached is a spreadsheet, an Excel file converted to pdf, that lists current in the first column, the voltage across the LED at that step and the wattage of the LED at that step. I had no way of measuring Lumen. At the end of the excel file is a graph of the results.
The LED was listed at 18,000 mcd at 20 mA. I went all the way up to 50 mA, which is about what I suspect my LED flashlight runs it at. My flashlight is just three AA batteries and four such LEDs. No resistors or current limiting.
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