Although the quality of LED's I buy is very high, ( of course I am biased) this is an example from my order of 25,000 pcs required to be 4000~4500'K and 16 Cd 30deg 5mm white clear.
Take note that ;
- only 8% are in the range are 3.0~3.2V
- None are >3.2V or <2.8V
P/N: 2S-4000W30N16-5NFZ , 25K pcs
1 [ ( 0.36 , 0.34) , IV:15000~17500mcd ,VF:3.0~3.2VDC ]===> 1 Kpcs
2 [ ( 0.36 , 0.35 ) , IV:15000~17500mcd ,VF:3.0~3.2VDC ]===> 3 Kpcs
3 [ ( 0.36 , 0.35 ) , IV:15000~17500mcd ,VF:2.8~3.0VDC ]===> 3 Kpcs
4 [ ( 0.37 , 0.36 ) , IV:15000~17500mcd ,VF:2.8~3.0VDC ]===> 6.5 Kpcs
5 [ ( 0.37 , 0.37 ) , IV:15000~17500mcd ,VF:2.8~3.0VDC ]===> 4 Kpcs
6 [ ( 0.38 , 0.38 ) , IV:15000~17500mcd ,VF:2.8~3.0VDC ]===> 7.5 Kpcs
Since White are based on Blue LED Substrates, the results are the same;
Here were my Yellow and Red 20mA 5mm LEDs
TYPE: 2S-615R30N9-5NFZ , 15K pcs RED
1 ( 620~625nm , IV:10500~12500mcd , VF:1.8~2.0 VDC )===> 15 Kpcs
2 ( 620~625nm , IV:10500~12500mcd , VF:2.0~2.2 VDC )===> 0 Kpcs
● TYPE: 2S-592Y30N11-5NFZ , 15K pcs YELLOW
1 ( 589~592nm , IV:10000~11500mcd , VF:1.9~2.1 VDC )===> 0 Kpcs
2 ( 592~595nm , IV:10000~11500mcd , VF:1.9~2.1 VDC )===> 15 Kpcs
For many suppliers they specify very wide tolerances to handle the occasional process escapes and get 100% yield but I buy only the best quality.
For these LEDs , you can run them from 3.3V supply no problem with suitable R for desired current. or even 3V Lithium as indicators.
Keep in mind that 16 Cd or Candella is blinding at arm's length , so you won't need 20mA and this reduces Vf according to Ohm's Law and the ESR of the LED.