So depends on how much current you feed the LEDs - as long as it's under ~9mA you should be okay. With Vcc=5v, a red LED (~2V drop) could have a resistor as small as 330 ohm on it, but no less, assuming you're going to have eight of them on the shift register.
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595 is rated for only 70mA max.
So depends on how much current you feed the LEDs - as long as it's under ~9mA you should be okay. With Vcc=5v, a red LED (~2V drop) could have a resistor as small as 330 ohm on it, but no less, assuming you're going to have eight of them on the shift register.