Euler's criterion

Summary

Euler's criterion is a theorem^[1]. It draws 107 Wikipedia views per month (theorem category, ranking #206 of 1,306).^[2]

Key Facts

• Euler's criterion's instance of is recorded as theorem^[3].
• Leonhard Euler is named after Euler's criterion^[4].
• Euler's criterion's Freebase ID is recorded as /m/0qh27^[5].
• Euler's criterion's facet of is recorded as quadratic residue^[6].
• Euler's criterion's uses is recorded as Legendre symbol^[7].
• Euler's criterion's defining formula is recorded as \left(\frac{a}{p}\right) = \begin{cases} 1 & \text{ if } a \text{ is a quadratic residue modulo } p \text{ and } a \not\equiv 0\pmod{p}, \-1 & \text{ if } a \text{ is a quadratic non-residue modulo } p, \ 0 & \text{ if } a \equiv 0 \pmod{p}. \end{cases}^[8].
• Euler's criterion's MathWorld ID is recorded as EulersCriterion^[9].
• Euler's criterion's Quora topic ID is recorded as Eulers-Criterion^[10].
• Euler's criterion's maintained by WikiProject is recorded as WikiProject Mathematics^[11].
• Euler's criterion's Microsoft Academic ID is recorded as 31165883^[12].
• Euler's criterion's Brilliant Wiki ID is recorded as eulers-criterion^[13].

Why It Matters

Euler's criterion draws 107 Wikipedia views per month (theorem category, ranking #206 of 1,306).^[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.^[14]