# OCME ยท 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 24176: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0051`; number: 24176 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0051/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0051/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0051.json) ## Question 24177: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0052`; number: 24177 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0052/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0052/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0052.json) ## Question 24178: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0053`; number: 24178 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0053/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0053/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0053.json) ## Question 24179: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0054`; number: 24179 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0054/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0054/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0054.json) ## Question 24180: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0055`; number: 24180 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0055/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0055/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0055.json) ## Question 24181: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0056`; number: 24181 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0056/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0056/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0056.json) ## Question 24182: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0057`; number: 24182 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0057/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0057/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0057.json) ## Question 24183: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0058`; number: 24183 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0058/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0058/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0058.json) ## Question 24184: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0059`; number: 24184 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0059/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0059/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0059.json) ## Question 24185: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0060`; number: 24185 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0060/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0060/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0060.json) ## Question 24186: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0061`; number: 24186 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0061/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0061/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0061.json) ## Question 24187: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0062`; number: 24187 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0062/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0062/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0062.json) ## Question 24188: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0063`; number: 24188 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0063/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0063/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0063.json) ## Question 24189: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0064`; number: 24189 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0064/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0064/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0064.json) ## Question 24190: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0065`; number: 24190 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0065/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0065/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0065.json) ## Question 24191: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0066`; number: 24191 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0066/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0066/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0066.json) ## Question 24192: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0067`; number: 24192 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0067/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0067/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0067.json) ## Question 24193: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0068`; number: 24193 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0068/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0068/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0068.json) ## Question 24194: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0069`; number: 24194 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0069/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0069/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0069.json) ## Question 24195: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0070`; number: 24195 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0070/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0070/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0070.json) ## Question 24196: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0071`; number: 24196 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0071/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0071/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0071.json) ## Question 24197: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0072`; number: 24197 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0072/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0072/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0072.json) ## Question 24198: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0073`; number: 24198 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0073/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0073/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0073.json) ## Question 24199: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0074`; number: 24199 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0074/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0074/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0074.json) ## Question 24200: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion - ID: `q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0075`; number: 24200 - Processing: second_context_reviewed - MKO: [mko-euler-criterion-quadratic-residue](/en/mko/mko-euler-criterion-quadratic-residue/) - Family: [qf-mod44-eulercrit-residue-nonresidue-cases](/en/explore/?family=qf-mod44-eulercrit-residue-nonresidue-cases) - 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-0075/) / [Markdown](/en/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0075/index.md) / [JSON](/data/question-derivations/questions/q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0075.json)