Earlier quoted context omitted.
except for the autistic crazy who just somehow knows but I haven't seen that movie in many years, so I don't remember what he knows but the actual test was 9 digits? (if i recall well) I 'memorized' the first 31 primes! why? I'm not sure; but I know how I did it, I don't know what it means tho
I think you are missing the point here. The only even prime is 2. The only prime ending with a 5 is 5. The last digit of a prime bigger than 5 can only be 1, 3, 7 and 9.
also, you're focused on base 10. And that 1,3,7,9 is the basis of the how i remember them: 11,13,17,19 then 23 AND ALSO 101,103,107,109, and then 113. but why!?
I learned that all twin primes in base 4 either end in 1 xor 3. and I know that all primes congruent to 1 modulo 4 can factorized into a complex number with its conjugate (Gaussian primes). But I don't understand this, I only 'know it'
And then, I figured that all the twin primes in base 6 are always end in 5 then in 1. and that's it, this is supposed to be a question by the way