We have complete description about irreducibles in the ring Z[i],of gaussian integers. Now I was trying to define suitably the notion of "perfect number" in Z[i]. But the problem is unique factorization into irreducibles is unique upto associates. So how one should possibly try to resolve this?
2026-03-26 18:30:01.1774549801
Perfect number in gaussian integers
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Well in the integers you don't mix positive and negative factors. Why not pick the/a sum of factors with the maximum modulus which would be compatible with the usual definition for integers.