I've used a resistor value as high as 47k for a blue led running on a +15V DC supply, and it was still pretty bright,I did a quick calculation and found that a 3k3 resistor will limit the current to 1mA on a +4.8V DC supply for a Blue led, I used 1.5V for the forward-voltage of a Led in my calculation.
I used the following formula to calculate the resistor value:
R=Vs-Vf/I
R= Resistance.
Vs= Supply Voltage.
Vf= Forward-biased Voltage of the Led (typically about 1.5V for standard 3mm and 5mm Leds).
I= Led Forward-Biased Current.
Although, some 3mm and 5mm Blue leds have a Forward-Biased Voltage as high as 3V.







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