EulerCriterion

P76849
predicate

Indicates that a number satisfies Euler’s criterion, meaning its power modulo a prime determines whether it is a quadratic residue or non-residue relative to that prime.

All labels observed (1)

Label Occurrences
EulerCriterion canonical 1

Description generation (PDg)

The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.

Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning.  
# Instructions
Focus on describing the relationship, not the entities themselves. 
# Response Format
Begin the description with \' Indicates...\'
Input
Predicate: EulerCriterion
Generated description
Indicates that a number satisfies Euler’s criterion, meaning its power modulo a prime determines whether it is a quadratic residue or non-residue relative to that prime.

Sample triples (1)

Subject Object
Legendre symbol (a/p) ≡ a^{(p-1)/2} (mod p)