# OCME · Knowledge & practice explorer

302 MKO / 1,441 families / 360 batches / 36,000 questions.

36,000 second-context math/bilingual reviewed; 0 display/symbol-checked candidates. Source questions: candidate. English: ai_candidate. No new proof, Lean, SREG or training.

25 results; page 1/1.

## Question 24101: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0076`; number: 24101
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0076/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0076/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0076.json)

## Question 24102: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0077`; number: 24102
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0077/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0077/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0077.json)

## Question 24103: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0078`; number: 24103
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0078/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0078/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0078.json)

## Question 24104: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0079`; number: 24104
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0079/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0079/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0079.json)

## Question 24105: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0080`; number: 24105
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0080/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0080/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0080.json)

## Question 24106: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0081`; number: 24106
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0081/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0081/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0081.json)

## Question 24107: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0082`; number: 24107
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0082/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0082/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0082.json)

## Question 24108: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0083`; number: 24108
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0083/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0083/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0083.json)

## Question 24109: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0084`; number: 24109
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0084/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0084/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0084.json)

## Question 24110: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0085`; number: 24110
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0085/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0085/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0085.json)

## Question 24111: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0086`; number: 24111
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0086/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0086/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0086.json)

## Question 24112: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0087`; number: 24112
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0087/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0087/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0087.json)

## Question 24113: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0088`; number: 24113
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0088/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0088/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0088.json)

## Question 24114: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0089`; number: 24114
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0089/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0089/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0089.json)

## Question 24115: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0090`; number: 24115
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0090/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0090/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0090.json)

## Question 24116: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0091`; number: 24116
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0091/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0091/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0091.json)

## Question 24117: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0092`; number: 24117
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0092/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0092/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0092.json)

## Question 24118: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0093`; number: 24118
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0093/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0093/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0093.json)

## Question 24119: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0094`; number: 24119
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0094/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0094/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0094.json)

## Question 24120: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0095`; number: 24120
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0095/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0095/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0095.json)

## Question 24121: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0096`; number: 24121
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0096/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0096/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0096.json)

## Question 24122: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0097`; number: 24122
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0097/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0097/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0097.json)

## Question 24123: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0098`; number: 24123
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0098/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0098/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0098.json)

## Question 24124: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0099`; number: 24124
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0099/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0099/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0099.json)

## Question 24125: Zero, Even Prime and Composite Inputs Are Outside This Declared Criterion

- ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0100`; number: 24125
- Processing: second_context_reviewed
- MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/)
- Family: [qf-mod44-eulercrit-domain-boundary](/en/explore/?family=qf-mod44-eulercrit-domain-boundary)
- Batch: [batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations](/en/explore/?batch=batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations)
- [Derivation](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0100/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0100/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0100.json)