Reduced residue system

Reduced residue system

A reduced residue system modulo "n" is a set of phi("n") integers such that each integer is relatively prime to "n" and no two are congruent modulo "n". Here phi denotes Euler's totient function.

Facts

*If { r_1, r_2, dots, r_{varphi(n)} } is a reduced residue system with "n" > 2, then sum r_i equiv 0 pmod n.

ee also

*Residue number system

External links

* [http://mathworld.wolfram.com/ReducedResidueSystem.html Reduced residue system] at MathWorld


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