this post was submitted on 21 May 2024
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You are correct. The person you're replying to misread my set as a fancy way of saying "all natural numbers", not "all primes".
So you're both right, in that if 1 were a prime, the primes would not work right, and if 1 were not a natural number then those would not work right.
Using the totient function to define the set of primes is admittedly basically just using it for the fancy symbol I'll admit, and the better name for where we keep all the primes is the blackboard bold P. ๐