Apparent brightness of different colors for LEDs?

Question

LEDs

The question arose here, maybe the community will help with something, or at least poke its nose into a prooflink :)
Given: an array of 10 white LEDs, temperature 6000K, brightness (rated) 1500mcd.
It is necessary: ​​to change them to red ones (of the same size and form factor) so that the brightness perceived by a person does not change.
Question: what brightness in millicandels should red LEDs be taken (and why)?
Thank you!

Answer 1

Most likely, more, since the spectrum of white light is wider and carries more energy than red.

Answer 2

The devil knows how to accurately calculate.
From the course of colloidal chemistry it is known that the rays with the shortest wavelength penetrate the air atmosphere worst of all. The longer the wavelength, the easier (that's why blue and violet lighting is usually used on any secret objects) for a photon to travel a long distance.
Therefore, the brightness of a pure red LED should be significantly lower than the brightness of the full spectrum of colors.
Unfortunately, so far my knowledge has run out here, and I cannot give an accurate estimate of the brightness of the red LED.

Answer 3

I think this article should help:
From Wikipedia :

If the radiation has a different wavelength, then a greater energy intensity of light is required to achieve the same luminous intensity.

That is, if I understand correctly, the luminous intensity is measured in candelas - the luminous value already tied to the sensitivity curve of the eye, and, accordingly, it is necessary to take just 1500mcd.