Gaussian primes: Difference between revisions

Content added Content deleted

Inline

Revision as of 15:07, 26 July 2022 (view source) Rdm (talk \| contribs) m (→‎{{header\|J}}) ← Older edit		Revision as of 00:07, 28 July 2022 (view source) Thundergnat (talk \| contribs) (More accurate teminology) Newer edit →
Line 16:		Line 16:
	E.G. '''''5 = (2 + i)(2 − i)''''' So 5 is not a Gaussian prime		E.G. '''''5 = (2 + i)(2 − i)''''' So 5 is not a Gaussian prime

	Gaussian primes are octogonally symmetrical on a real / imaginary Cartesian field. If a particular complex norm '''a² + b²''' is prime, ~~then~~ ~~the~~ ~~additive~~ ~~inverse~~ '''b² + a²''' is also prime, as are the complex conjugates and ~~multiplicative~~ ~~inverses~~ of both.		Gaussian primes are octogonally symmetrical on a real / imaginary Cartesian field. If a particular complex norm '''a² + b²''' is prime, since addition is commutative, '''b² + a²''' is also prime, as are the complex conjugates and negated instances of both.