{"schema_version":"ocme-public-explorer-results-v1","locale":"en","filters":{"family":"qf-mod44-eulercrit-residue-nonresidue-cases"},"total":25,"page":1,"page_count":1,"question_state":"candidate","english_state":"ai_candidate","canonical_truth_promotion":false,"entries":[{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0051","number":24176,"title":{"zh-Hant":"第 24176 題：Euler二次剩餘判準","en":"Question 24176: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"26c2dabfcaea2ca196c84f66aa019daa3d0ba714be73efc97b69623e1868fa32","derivation_sha256":"91cf669c32956c1c4ee0eff3eb639799c30c96e89da51a7789774eb52edc66e5"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0052","number":24177,"title":{"zh-Hant":"第 24177 題：Euler二次剩餘判準","en":"Question 24177: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"500f2e399b8dbbd6c5dc97b2326e4a2d615e2b5b33be1411cfbae831ef07c4e3","derivation_sha256":"09a5ad432e0f18495ce322408ccb3b1497d2f19690b823abc1c2fbd043702567"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0053","number":24178,"title":{"zh-Hant":"第 24178 題：Euler二次剩餘判準","en":"Question 24178: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d333f53ef4c5b55e945ff808e34a6726a6b6ebbb59c9481d876b43d8c3674d5f","derivation_sha256":"4d51aa4adb2821113d0306edaa5c317d0db7edb45b7dad71078bcf74a7fc70d7"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0054","number":24179,"title":{"zh-Hant":"第 24179 題：Euler二次剩餘判準","en":"Question 24179: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"3ac9df813c269259085f4d68c0790311f2aed0e213e62e8eb38041b8e436cd55","derivation_sha256":"cf280105e0c915b4486db987c2a93b6ccafe62db31666aeb6677601c5e98d662"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0055","number":24180,"title":{"zh-Hant":"第 24180 題：Euler二次剩餘判準","en":"Question 24180: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"6c4759c1213ca82e728ca3acf61e241934d4b09dfa6efd4cb573cfbf5eb59585","derivation_sha256":"b26a2cd51ab6f52620048b0282773dbcfbf227fe04f80d6ad792e81d9390a153"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0056","number":24181,"title":{"zh-Hant":"第 24181 題：Euler二次剩餘判準","en":"Question 24181: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a5c8714a92f325232aad481405abd3c06d4b4cbbecd4b5dee56c0770bc29fd16","derivation_sha256":"50de39a387730487c5d525a9848f5a08396fc87bf71413a3fa145c15d700e2ff"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0057","number":24182,"title":{"zh-Hant":"第 24182 題：Euler二次剩餘判準","en":"Question 24182: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"e684c15d7c516a6b0e8e0b8f074760e36b5f4ef61a4b37ddcc2f9de0de440b84","derivation_sha256":"56417b7c571756bd91c0d6708f286591df780e53ac2dae4f27e959e5f4c7c13d"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0058","number":24183,"title":{"zh-Hant":"第 24183 題：Euler二次剩餘判準","en":"Question 24183: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"bc625c12fc1fe91c05785d5f18098e157be86d8ee1c04d7a9c77a19e63feb1b8","derivation_sha256":"0370e09168199eeca28e307e160e768e70bbcd705815a6e11b6d7a80f5b214cc"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0059","number":24184,"title":{"zh-Hant":"第 24184 題：Euler二次剩餘判準","en":"Question 24184: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"3af25379402d1d990380c5f7a1869086cccceece06bf1921a34f0e6014efe8f0","derivation_sha256":"e35b15c35fbe2d9c24ad40350e819e82bd3eef1a7551e8932a490db64041d75a"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0060","number":24185,"title":{"zh-Hant":"第 24185 題：Euler二次剩餘判準","en":"Question 24185: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"fd42409ad85504bfe91a8a962aa40aeb84935604aecb6dd0a755262ac154e373","derivation_sha256":"3282171f32d0a04e7df9cbfc5e623083a9a079f382f59eceaa70ee0d6afa0e4a"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0061","number":24186,"title":{"zh-Hant":"第 24186 題：Euler二次剩餘判準","en":"Question 24186: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"7687e5005d3ec89b2b5a4ea0e00d584eff388d54bf10b23e3a14219485d1a70c","derivation_sha256":"3a18dd6f94ec612154e89d3ed15195750725517a9ff8b4778b312e6d3839c594"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0062","number":24187,"title":{"zh-Hant":"第 24187 題：Euler二次剩餘判準","en":"Question 24187: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1e69d2a90ca93fe095f5aa3182c9213626c9ba3b3b25d160c977f562aa8ea207","derivation_sha256":"8074020effa31b7a0defb225f7d28cbeaeceb9124101f5411ad5a1049e1c20fc"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0063","number":24188,"title":{"zh-Hant":"第 24188 題：Euler二次剩餘判準","en":"Question 24188: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"086d42e11349ab22f4d9aa827a9e4181d7af87f22bd7c5f571542b0591484675","derivation_sha256":"ddd52c729850dfc158ed355191088d26f874ef59873a29acb8b7835cec7f66da"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0064","number":24189,"title":{"zh-Hant":"第 24189 題：Euler二次剩餘判準","en":"Question 24189: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"9463dac9351e98e3b6616918b39f72dc56f19853bb822f69fc6b722ed886bcc6","derivation_sha256":"ee55bab201faf39df006e55665eefb557a7f7156edea3f4e18010c96045fff86"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0065","number":24190,"title":{"zh-Hant":"第 24190 題：Euler二次剩餘判準","en":"Question 24190: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"49db04bbc826e0a9f6dfefbfe306afb7a8c3b0a1473dc8dbc296bcf6ecdb4435","derivation_sha256":"676947fdde41a3f9b32f67dd3a76cb17f6482681b163eaf20bc55e633c294bcd"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0066","number":24191,"title":{"zh-Hant":"第 24191 題：Euler二次剩餘判準","en":"Question 24191: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"1ab00abb71a1219e7d788b552be95da97b5e52d80ca6a3c844030e8003538628","derivation_sha256":"0485a91f07e22f74eb98761da79399cc6fe038f438534427bb697a5d9354d5ad"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0067","number":24192,"title":{"zh-Hant":"第 24192 題：Euler二次剩餘判準","en":"Question 24192: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"5165d4050fcbc1e7de319c5dcedc7a77ca47d10f9999bb85a61dff31fef01044","derivation_sha256":"531217d19b3792c4329922637da0b3e8695f455bf4112e99efc84c1a32072c9f"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0068","number":24193,"title":{"zh-Hant":"第 24193 題：Euler二次剩餘判準","en":"Question 24193: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"721ea15bdf7489b4f82165306d3324aa897bf3e23077460e082f075ed425ab50","derivation_sha256":"11de3fe85b7ed191c8607ad7856df3bf5fe4155bb110434fb12dbd5a4f67c26e"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0069","number":24194,"title":{"zh-Hant":"第 24194 題：Euler二次剩餘判準","en":"Question 24194: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"cc3592919516091a08d733e0d52fb4fe42439dee2f4db8c57df7658b07fafe0f","derivation_sha256":"362c061f90345abeda7b7272797f030da0ba233823a631e30d5a3936f90d40b1"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0070","number":24195,"title":{"zh-Hant":"第 24195 題：Euler二次剩餘判準","en":"Question 24195: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"2919dfbe64fef94c833f328d1f4d2471be010f00d2b9badc9b944859665f35a0","derivation_sha256":"efb956a34294fd5222ea19c7e8485661a4d8525551c490237c3450ab55992503"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0071","number":24196,"title":{"zh-Hant":"第 24196 題：Euler二次剩餘判準","en":"Question 24196: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"a890366688987bd6343986485a905232006fb554e4af3e2193b02d2a15f5419f","derivation_sha256":"479d6ac0190c3166889b50c34d18b6a6e80837ae999bd3850fa3ade6042772f2"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0072","number":24197,"title":{"zh-Hant":"第 24197 題：Euler二次剩餘判準","en":"Question 24197: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"d7c90fa0ea6695ba041a45d5716f39134070fcecab1a792ef900b7b58c3e2976","derivation_sha256":"6745417fb328be7a0ea3670062dcd953b8649972dd211f8defe697d01a9387f4"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0073","number":24198,"title":{"zh-Hant":"第 24198 題：Euler二次剩餘判準","en":"Question 24198: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"15829f747ecdb677397678ea65eff01c49b0c97bd9479728e76134231334c3a0","derivation_sha256":"be9d400c36c7e3525f16a1519c41429e8dab46a29a920e67397d0b0a7fe078f8"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0074","number":24199,"title":{"zh-Hant":"第 24199 題：Euler二次剩餘判準","en":"Question 24199: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"ef141809baa9253ca926a5b6acb06b1f3f8441dcaf3601c1105146267399d03a","derivation_sha256":"db5f8bff05fdc438ccb3be6948b2699d22605c455823e075c922634e17e9a55c"},{"question_id":"q-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-0075","number":24200,"title":{"zh-Hant":"第 24200 題：Euler二次剩餘判準","en":"Question 24200: Residues Give Plus One and Nonresidues Minus One under the Qualified Criterion"},"family_id":"qf-mod44-eulercrit-residue-nonresidue-cases","batch_id":"batch-20261015-advance-20261113-r04-euler-criterion-quadratic-residue-foundations","mko_ids":["mko-euler-criterion-quadratic-residue"],"question_state":"candidate","english_state":"ai_candidate","processing_state":"second_context_reviewed","source_question_sha256":"305580e1f9bc3b77d4e8da3148a131ce02285443b49c4f374df34373d0b99e84","derivation_sha256":"849be8fa8a6b8b98aecc2c3aaed0c709891ad4667e271bf5223cbb57417677a4"}]}