- #1

- 3,077

- 4

2=(1+i)(1-i); 1 X 2

5=(2+i)(2-i); 1 x 5

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Using complex numbers gives no insight, though, into a formula for prime distribution. Both sets of integers and complex numbers, being closed and mutually "congruent" under the characteristic prime operation of commutative multiplication, necessitates the use of more general nonAbelian operators (matrices) as a basis for [pi](x). A quantum-like wavefunction could be the "prime candidate" for probabilistic interference that generates primes.