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## Main Question or Discussion Point

I have come across a question in my explorations of recursive tilings using Gaussian and Eisenstein Integers. It seems there might be a class of composite numbers which have no factors (divisors) that are co-prime. So, for instance: 10 is composite, but its factors (2 and 5) are co-prime. The same is true for 6 and 12. However, 4, 8, 9, 16, 25 do not have factors which are co-prime. (I am including composite numbers with only one factor in this list). These are then examples of the class of numbers I am looking to identify.

Without going into the details and reasoning for asking this question (unless it helps in finding the answer), I am initially curious if such a class of composites have been identified, and if so, perhaps there may be some significance that can shed some light on my problem.

Any insights, thoughts?

Thanks!

-Jeffrey

Without going into the details and reasoning for asking this question (unless it helps in finding the answer), I am initially curious if such a class of composites have been identified, and if so, perhaps there may be some significance that can shed some light on my problem.

Any insights, thoughts?

Thanks!

-Jeffrey