RX & TX LEDS on Arduino Nano not flashing after upload in sketch

I am using Windows XP, & after I have finished uploading in sketch, my Arduino Uno boards' RX & TX

LEDs don't flash, however; the pin 13 (L) LED light does, so does this imply I can dismiss this inaction of

the RX & TX LEDs not blinking as a meaningless problem? Because I was under the impression that it was

compulsory that the RX & TX flash before pin 13 flashes, which would signify everything was working

well, but clearly in my case, they don't. My drivers are all up to date & COM3 is the only serial port that

works with this device. Any input would be much appreciated.

When you upload a sketch the RX TX LEDs will flash.
Normally you do not use these pins.
So, the LEDs not flashing is normal after uploading.

Why would you expect them to flash after uploading is finished? Obviously they do during the upload, because that is serial activity.

When the upload finishes, your sketch starts. There will be serial activity only if your sketch generates it - and if there is some process on the PC to which it communicates, such as the "serial monitor".

Similarly, Pin 13, the "L" LED flashes only if your sketch tells it to do so - such as the "blink" exercise. Not for any other reason though on a UNO R3, the "L" light may randomly be on or off if your sketch has not initialised that pin as an output and it is not otherwise connected.