thirdCongruenceModulus
P56107
predicate
Indicates that the third argument serves as the modulus with respect to which two other quantities are congruent.
All labels observed (3)
| Label | Occurrences |
|---|---|
| congruenceProperty | 3 |
| orderUnderMultiplicationModuloPowers | 1 |
| thirdCongruenceModulus 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: thirdCongruenceModulus
Generated description
Indicates that the third argument serves as the modulus with respect to which two other quantities are congruent.
Sample triples (5)
| Subject | Object |
|---|---|
| Ramanujan partition congruences | 11 ⓘ |
| i | 4 via predicate surface "orderUnderMultiplicationModuloPowers" ⓘ |
| Ramanujan tau function | τ(n) ≡ σ_{11}(n) (mod 691) via predicate surface "congruenceProperty" ⓘ |
| Ramanujan tau function | τ(n) ≡ n^{11} + 1217 n^3 (mod 2^11) for certain n via predicate surface "congruenceProperty" ⓘ |
| Ramanujan tau function | τ(n) ≡ n^{11} + 5 n^7 (mod 3^6) for certain n via predicate surface "congruenceProperty" ⓘ |