View source for Non-residue

''of power <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/n/n067/n067270/n0672703.png" /> modulo <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/n/n067/n067270/n0672704.png" />''

A number <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/n/n067/n067270/n0672705.png" /> for which the [[Congruence|congruence]] <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/n/n067/n067270/n0672706.png" /> has no solution. See also [[Remainder of an integer|Remainder of an integer]].

====Comments====
Usually this term refers to the case <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/n/n067/n067270/n0672707.png" />. It was first used by C.F. Gauss in his Disquisitiones Arithmetica.