What is the explanation for the Google logo colors?

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"There were a lot of different color iterations," Kedar says. "We ended up with the primary colors, but instead of having the pattern go in order, we put a secondary color on the L, which brought back the idea that Google doesn't follow the rules." (from an interview with Ruth Kedar by WIRED writer Sonia Zjawinski)
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The first three are blue, red, yellow. These represent the primary colors when dealing with the arts. When developing software, however, the color scale is RGB, which is why the next 3 colors are Red green and blue.

There are four distinct letters( g,o,l,e) in the word google and so are the main four natural colors -Red,Green,Blue and Yellow.

This is just a guess, but the explanation might be that colors are assigned to letters according to whether their positions represent a prime number or don't.
Thus letters number 1, 2, 3 and 5 (all of them prime numbers) have a distinctive or "prime" color assigned: blue, red, yellow and green. Letters number 4 and 6 (not prime numbers) repeat colors -no longer "prime colors"- in the same order that such colors were assigned in the first time: blue and then red.
If the sequence were to continue with new letters, the next letter, number 7, should have a new or "prime color" since 7 is prime; letters number 8, 9 and 10 should repeat colors in the preestablished order: yellow, green and the same as 7's; letter number 11, also a prime number, should have another new color, and so forth.

Both of the above answers are plausible. Most people think there are three primaries (the additive primaries are red, green and blue; the subtractive primaries are cyan, magenta and yellow; and the artists' primaries are red, yellow and blue). However, there is no reason to pick out red, green, yellow and blue on this basis. However, there are four psychological primaries associated with the unique hues: red, yellow, green and blue. These psychological hues have far more visual/psychologal importance than the three primaries of any colour mixing system. The correct answer is therefore that the four colours have been chosen as the four psychological primaries.
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