"pseudoprime" meaning in English

See pseudoprime in All languages combined, or Wiktionary

Adjective

Audio: LL-Q1860 (eng)-Flame, not lame-pseudoprime.wav [US]
Etymology: Etymology tree Pre-Greekder.? Ancient Greek ψεύδω (pseúdō) Proto-Indo-European *-os Proto-Indo-European *-ēs Proto-Hellenic *-ēs Ancient Greek -ης (-ēs) Ancient Greek -ής (-ḗs) Ancient Greek ψευδής (pseudḗs)der. Middle English pseudo- English pseudo- English prime English pseudoprime From pseudo- + prime. Etymology templates: {{ety|en|:af|pseudo-|prime|text=+|tree=1}} Etymology tree Pre-Greekder.? Ancient Greek ψεύδω (pseúdō) Proto-Indo-European *-os Proto-Indo-European *-ēs Proto-Hellenic *-ēs Ancient Greek -ης (-ēs) Ancient Greek -ής (-ḗs) Ancient Greek ψευδής (pseudḗs)der. Middle English pseudo- English pseudo- English prime English pseudoprime [Appendix:Glossary#derived_terms|Derived]] from", "terms" : [ { "children" : [ { "terms" : [ { "children" : [ { "keyword_abbrev" : "der.", "is_uncertain" : true, "keyword_label" : "Derived from", "terms" : [ { "lang_name" : "Pre-Greek", "status" : "ok", "children" : [ ], "lang" : "qsb-grc" } ], "keyword" : "derived" } ], "lang_name" : "Ancient Greek", "term" : "ψεύδω", "status" : "ok", "lang" : "grc" }, { "children" : [ { "terms" : [ { "children" : [ { "terms" : [ { "alt" : "*-ēs", "lang_name" : "Proto-Hellenic", "status" : "inline", "children" : [ { "terms" : [ { "id" : "adjectival suffix", "children" : [ { "terms" : [ { "id" : "athematic", "children" : [ ], "status" : "ok", "lang_name" : "Proto-Indo-European", "term" : "*-os", "lang" : "ine-pro" } ], "keyword_label" : "From", "keyword" : "from" } ], "status" : "ok", "lang_name" : "Proto-Indo-European", "term" : "*-ēs", "lang" : "ine-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang" : "grk-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "Ancient Greek", "term" : "-ης", "status" : "ok", "lang" : "grc" } ], "keyword_label" : "From", "keyword" : "from" } ], "lang_name" : "Ancient Greek", "term" : "-ής", "status" : "ok", "lang" : "grc" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang_name" : "Ancient Greek", "term" : "ψευδής", "status" : "ok", "lang" : "grc" } ], "keyword" : "derived" } ], "lang_name" : "Middle English", "term" : "pseudo-", "status" : "inline", "lang" : "enm" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "English", "term" : "pseudo-", "status" : "ok", "lang" : "en" }, { "children" : [ ], "lang_name" : "English", "term" : "prime", "status" : "missing", "lang" : "en" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang_name" : "English", "term" : "pseudoprime", "status" : "ok", "lang" : "en" }" data-lang="en" data-title="pseudoprime"> From pseudo- + prime. Head templates: {{en-adj|-}} pseudoprime (not comparable)
  1. Being such an integer. Tags: not-comparable
    Sense id: en-pseudoprime-en-adj-7hVMYy6j

Noun

Audio: LL-Q1860 (eng)-Flame, not lame-pseudoprime.wav [US] Forms: pseudoprimes [plural]
Etymology: Etymology tree Pre-Greekder.? Ancient Greek ψεύδω (pseúdō) Proto-Indo-European *-os Proto-Indo-European *-ēs Proto-Hellenic *-ēs Ancient Greek -ης (-ēs) Ancient Greek -ής (-ḗs) Ancient Greek ψευδής (pseudḗs)der. Middle English pseudo- English pseudo- English prime English pseudoprime From pseudo- + prime. Etymology templates: {{ety|en|:af|pseudo-|prime|text=+|tree=1}} Etymology tree Pre-Greekder.? Ancient Greek ψεύδω (pseúdō) Proto-Indo-European *-os Proto-Indo-European *-ēs Proto-Hellenic *-ēs Ancient Greek -ης (-ēs) Ancient Greek -ής (-ḗs) Ancient Greek ψευδής (pseudḗs)der. Middle English pseudo- English pseudo- English prime English pseudoprime [Appendix:Glossary#derived_terms|Derived]] from", "terms" : [ { "children" : [ { "terms" : [ { "children" : [ { "keyword_abbrev" : "der.", "is_uncertain" : true, "keyword_label" : "Derived from", "terms" : [ { "lang_name" : "Pre-Greek", "status" : "ok", "children" : [ ], "lang" : "qsb-grc" } ], "keyword" : "derived" } ], "lang_name" : "Ancient Greek", "term" : "ψεύδω", "status" : "ok", "lang" : "grc" }, { "children" : [ { "terms" : [ { "children" : [ { "terms" : [ { "alt" : "*-ēs", "lang_name" : "Proto-Hellenic", "status" : "inline", "children" : [ { "terms" : [ { "id" : "adjectival suffix", "children" : [ { "terms" : [ { "id" : "athematic", "children" : [ ], "status" : "ok", "lang_name" : "Proto-Indo-European", "term" : "*-os", "lang" : "ine-pro" } ], "keyword_label" : "From", "keyword" : "from" } ], "status" : "ok", "lang_name" : "Proto-Indo-European", "term" : "*-ēs", "lang" : "ine-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang" : "grk-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "Ancient Greek", "term" : "-ης", "status" : "ok", "lang" : "grc" } ], "keyword_label" : "From", "keyword" : "from" } ], "lang_name" : "Ancient Greek", "term" : "-ής", "status" : "ok", "lang" : "grc" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang_name" : "Ancient Greek", "term" : "ψευδής", "status" : "ok", "lang" : "grc" } ], "keyword" : "derived" } ], "lang_name" : "Middle English", "term" : "pseudo-", "status" : "inline", "lang" : "enm" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "English", "term" : "pseudo-", "status" : "ok", "lang" : "en" }, { "children" : [ ], "lang_name" : "English", "term" : "prime", "status" : "missing", "lang" : "en" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang_name" : "English", "term" : "pseudoprime", "status" : "ok", "lang" : "en" }" data-lang="en" data-title="pseudoprime"> From pseudo- + prime. Head templates: {{en-noun}} pseudoprime (plural pseudoprimes)
  1. (mathematics) An integer that possesses at least one characteristic of a prime number without actually being prime. The characteristic is typically chosen to make such "false primes" very rare.
    Sense id: en-pseudoprime-en-noun-nAE3oPrM Categories (other): Mathematics, English terms prefixed with pseudo- Disambiguation of English terms prefixed with pseudo-: 8 41 50 Topics: mathematics, sciences
  2. (mathematics, specifically) A Fermat pseudoprime; a composite integer n satisfying bⁿ⁻¹≡1(mod n) for some integer b such that b > 1. Tags: specifically
    Sense id: en-pseudoprime-en-noun-bAGoTPfg Categories (other): Mathematics, English entries referencing missing etymons, English entries with etymology texts, English entries with etymology trees, English entries with etymon, English entries with incorrect language header, English terms prefixed with pseudo-, Pages using etymon with no ID, Pages with 1 entry, Pages with entries, Pages with etymology trees, Pages with etymon Disambiguation of English entries referencing missing etymons: 3 27 70 Disambiguation of English entries with etymology texts: 3 27 70 Disambiguation of English entries with etymology trees: 3 27 70 Disambiguation of English entries with etymon: 3 24 73 Disambiguation of English entries with incorrect language header: 1 23 76 Disambiguation of English terms prefixed with pseudo-: 8 41 50 Disambiguation of Pages using etymon with no ID: 3 26 71 Disambiguation of Pages with 1 entry: 1 16 82 Disambiguation of Pages with entries: 1 18 81 Disambiguation of Pages with etymology trees: 3 21 76 Disambiguation of Pages with etymon: 3 17 80 Topics: mathematics, sciences
The following are not (yet) sense-disambiguated
Derived forms: Fermat pseudoprime

Inflected forms

{
  "derived": [
    {
      "_dis1": "0 0",
      "word": "Fermat pseudoprime"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": ":af",
        "3": "pseudo-",
        "4": "prime",
        "text": "+",
        "tree": "1"
      },
      "expansion": "Etymology tree\nPre-Greekder.?\nAncient Greek ψεύδω (pseúdō)\nProto-Indo-European *-os\nProto-Indo-European *-ēs\nProto-Hellenic *-ēs\nAncient Greek -ης (-ēs)\nAncient Greek -ής (-ḗs)\nAncient Greek ψευδής (pseudḗs)der.\nMiddle English pseudo-\nEnglish pseudo-\nEnglish prime\nEnglish pseudoprime\n[Appendix:Glossary#derived_terms|Derived]] from\", \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"keyword_abbrev\" : \"der.\", \"is_uncertain\" : true, \"keyword_label\" : \"Derived from\", \"terms\" : [ { \"lang_name\" : \"Pre-Greek\", \"status\" : \"ok\", \"children\" : [ ], \"lang\" : \"qsb-grc\" } ], \"keyword\" : \"derived\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"ψεύδω\", \"status\" : \"ok\", \"lang\" : \"grc\" }, { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"alt\" : \"*-ēs\", \"lang_name\" : \"Proto-Hellenic\", \"status\" : \"inline\", \"children\" : [ { \"terms\" : [ { \"id\" : \"adjectival suffix\", \"children\" : [ { \"terms\" : [ { \"id\" : \"athematic\", \"children\" : [ ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-os\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-ēs\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang\" : \"grk-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ης\", \"status\" : \"ok\", \"lang\" : \"grc\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ής\", \"status\" : \"ok\", \"lang\" : \"grc\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"ψευδής\", \"status\" : \"ok\", \"lang\" : \"grc\" } ], \"keyword\" : \"derived\" } ], \"lang_name\" : \"Middle English\", \"term\" : \"pseudo-\", \"status\" : \"inline\", \"lang\" : \"enm\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"English\", \"term\" : \"pseudo-\", \"status\" : \"ok\", \"lang\" : \"en\" }, { \"children\" : [ ], \"lang_name\" : \"English\", \"term\" : \"prime\", \"status\" : \"missing\", \"lang\" : \"en\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"English\", \"term\" : \"pseudoprime\", \"status\" : \"ok\", \"lang\" : \"en\" }\" data-lang=\"en\" data-title=\"pseudoprime\">\nFrom pseudo- + prime.",
      "name": "ety"
    }
  ],
  "etymology_text": "Etymology tree\nPre-Greekder.?\nAncient Greek ψεύδω (pseúdō)\nProto-Indo-European *-os\nProto-Indo-European *-ēs\nProto-Hellenic *-ēs\nAncient Greek -ης (-ēs)\nAncient Greek -ής (-ḗs)\nAncient Greek ψευδής (pseudḗs)der.\nMiddle English pseudo-\nEnglish pseudo-\nEnglish prime\nEnglish pseudoprime\nFrom pseudo- + prime.",
  "forms": [
    {
      "form": "pseudoprimes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "pseudoprime (plural pseudoprimes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        },
        {
          "_dis": "8 41 50",
          "kind": "other",
          "name": "English terms prefixed with pseudo-",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "An integer that possesses at least one characteristic of a prime number without actually being prime. The characteristic is typically chosen to make such \"false primes\" very rare."
      ],
      "id": "en-pseudoprime-en-noun-nAE3oPrM",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "prime number",
          "prime number"
        ],
        [
          "prime",
          "prime"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An integer that possesses at least one characteristic of a prime number without actually being prime. The characteristic is typically chosen to make such \"false primes\" very rare."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "other",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [],
          "source": "w"
        },
        {
          "_dis": "3 27 70",
          "kind": "other",
          "name": "English entries referencing missing etymons",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "3 27 70",
          "kind": "other",
          "name": "English entries with etymology texts",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "3 27 70",
          "kind": "other",
          "name": "English entries with etymology trees",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "3 24 73",
          "kind": "other",
          "name": "English entries with etymon",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "1 23 76",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "8 41 50",
          "kind": "other",
          "name": "English terms prefixed with pseudo-",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "3 26 71",
          "kind": "other",
          "name": "Pages using etymon with no ID",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "1 16 82",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "1 18 81",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "3 21 76",
          "kind": "other",
          "name": "Pages with etymology trees",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "3 17 80",
          "kind": "other",
          "name": "Pages with etymon",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A Fermat pseudoprime; a composite integer n satisfying bⁿ⁻¹≡1(mod n) for some integer b such that b > 1."
      ],
      "id": "en-pseudoprime-en-noun-bAGoTPfg",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics, specifically) A Fermat pseudoprime; a composite integer n satisfying bⁿ⁻¹≡1(mod n) for some integer b such that b > 1."
      ],
      "tags": [
        "specifically"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-pseudoprime.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/a/a2/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/a/a2/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav.ogg",
      "tags": [
        "US"
      ]
    }
  ],
  "word": "pseudoprime"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": ":af",
        "3": "pseudo-",
        "4": "prime",
        "text": "+",
        "tree": "1"
      },
      "expansion": "Etymology tree\nPre-Greekder.?\nAncient Greek ψεύδω (pseúdō)\nProto-Indo-European *-os\nProto-Indo-European *-ēs\nProto-Hellenic *-ēs\nAncient Greek -ης (-ēs)\nAncient Greek -ής (-ḗs)\nAncient Greek ψευδής (pseudḗs)der.\nMiddle English pseudo-\nEnglish pseudo-\nEnglish prime\nEnglish pseudoprime\n[Appendix:Glossary#derived_terms|Derived]] from\", \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"keyword_abbrev\" : \"der.\", \"is_uncertain\" : true, \"keyword_label\" : \"Derived from\", \"terms\" : [ { \"lang_name\" : \"Pre-Greek\", \"status\" : \"ok\", \"children\" : [ ], \"lang\" : \"qsb-grc\" } ], \"keyword\" : \"derived\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"ψεύδω\", \"status\" : \"ok\", \"lang\" : \"grc\" }, { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"alt\" : \"*-ēs\", \"lang_name\" : \"Proto-Hellenic\", \"status\" : \"inline\", \"children\" : [ { \"terms\" : [ { \"id\" : \"adjectival suffix\", \"children\" : [ { \"terms\" : [ { \"id\" : \"athematic\", \"children\" : [ ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-os\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-ēs\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang\" : \"grk-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ης\", \"status\" : \"ok\", \"lang\" : \"grc\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ής\", \"status\" : \"ok\", \"lang\" : \"grc\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"ψευδής\", \"status\" : \"ok\", \"lang\" : \"grc\" } ], \"keyword\" : \"derived\" } ], \"lang_name\" : \"Middle English\", \"term\" : \"pseudo-\", \"status\" : \"inline\", \"lang\" : \"enm\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"English\", \"term\" : \"pseudo-\", \"status\" : \"ok\", \"lang\" : \"en\" }, { \"children\" : [ ], \"lang_name\" : \"English\", \"term\" : \"prime\", \"status\" : \"missing\", \"lang\" : \"en\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"English\", \"term\" : \"pseudoprime\", \"status\" : \"ok\", \"lang\" : \"en\" }\" data-lang=\"en\" data-title=\"pseudoprime\">\nFrom pseudo- + prime.",
      "name": "ety"
    }
  ],
  "etymology_text": "Etymology tree\nPre-Greekder.?\nAncient Greek ψεύδω (pseúdō)\nProto-Indo-European *-os\nProto-Indo-European *-ēs\nProto-Hellenic *-ēs\nAncient Greek -ης (-ēs)\nAncient Greek -ής (-ḗs)\nAncient Greek ψευδής (pseudḗs)der.\nMiddle English pseudo-\nEnglish pseudo-\nEnglish prime\nEnglish pseudoprime\nFrom pseudo- + prime.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "pseudoprime (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "glosses": [
        "Being such an integer."
      ],
      "id": "en-pseudoprime-en-adj-7hVMYy6j",
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-pseudoprime.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/a/a2/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/a/a2/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav.ogg",
      "tags": [
        "US"
      ]
    }
  ],
  "word": "pseudoprime"
}

{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries referencing missing etymons",
    "English entries with etymology texts",
    "English entries with etymology trees",
    "English entries with etymon",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms prefixed with pseudo-",
    "English uncomparable adjectives",
    "Pages using etymon with no ID",
    "Pages with 1 entry",
    "Pages with entries",
    "Pages with etymology trees",
    "Pages with etymon"
  ],
  "derived": [
    {
      "word": "Fermat pseudoprime"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": ":af",
        "3": "pseudo-",
        "4": "prime",
        "text": "+",
        "tree": "1"
      },
      "expansion": "Etymology tree\nPre-Greekder.?\nAncient Greek ψεύδω (pseúdō)\nProto-Indo-European *-os\nProto-Indo-European *-ēs\nProto-Hellenic *-ēs\nAncient Greek -ης (-ēs)\nAncient Greek -ής (-ḗs)\nAncient Greek ψευδής (pseudḗs)der.\nMiddle English pseudo-\nEnglish pseudo-\nEnglish prime\nEnglish pseudoprime\n[Appendix:Glossary#derived_terms|Derived]] from\", \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"keyword_abbrev\" : \"der.\", \"is_uncertain\" : true, \"keyword_label\" : \"Derived from\", \"terms\" : [ { \"lang_name\" : \"Pre-Greek\", \"status\" : \"ok\", \"children\" : [ ], \"lang\" : \"qsb-grc\" } ], \"keyword\" : \"derived\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"ψεύδω\", \"status\" : \"ok\", \"lang\" : \"grc\" }, { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"alt\" : \"*-ēs\", \"lang_name\" : \"Proto-Hellenic\", \"status\" : \"inline\", \"children\" : [ { \"terms\" : [ { \"id\" : \"adjectival suffix\", \"children\" : [ { \"terms\" : [ { \"id\" : \"athematic\", \"children\" : [ ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-os\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-ēs\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang\" : \"grk-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ης\", \"status\" : \"ok\", \"lang\" : \"grc\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ής\", \"status\" : \"ok\", \"lang\" : \"grc\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"ψευδής\", \"status\" : \"ok\", \"lang\" : \"grc\" } ], \"keyword\" : \"derived\" } ], \"lang_name\" : \"Middle English\", \"term\" : \"pseudo-\", \"status\" : \"inline\", \"lang\" : \"enm\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"English\", \"term\" : \"pseudo-\", \"status\" : \"ok\", \"lang\" : \"en\" }, { \"children\" : [ ], \"lang_name\" : \"English\", \"term\" : \"prime\", \"status\" : \"missing\", \"lang\" : \"en\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"English\", \"term\" : \"pseudoprime\", \"status\" : \"ok\", \"lang\" : \"en\" }\" data-lang=\"en\" data-title=\"pseudoprime\">\nFrom pseudo- + prime.",
      "name": "ety"
    }
  ],
  "etymology_text": "Etymology tree\nPre-Greekder.?\nAncient Greek ψεύδω (pseúdō)\nProto-Indo-European *-os\nProto-Indo-European *-ēs\nProto-Hellenic *-ēs\nAncient Greek -ης (-ēs)\nAncient Greek -ής (-ḗs)\nAncient Greek ψευδής (pseudḗs)der.\nMiddle English pseudo-\nEnglish pseudo-\nEnglish prime\nEnglish pseudoprime\nFrom pseudo- + prime.",
  "forms": [
    {
      "form": "pseudoprimes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "pseudoprime (plural pseudoprimes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "An integer that possesses at least one characteristic of a prime number without actually being prime. The characteristic is typically chosen to make such \"false primes\" very rare."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "prime number",
          "prime number"
        ],
        [
          "prime",
          "prime"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An integer that possesses at least one characteristic of a prime number without actually being prime. The characteristic is typically chosen to make such \"false primes\" very rare."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "A Fermat pseudoprime; a composite integer n satisfying bⁿ⁻¹≡1(mod n) for some integer b such that b > 1."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics, specifically) A Fermat pseudoprime; a composite integer n satisfying bⁿ⁻¹≡1(mod n) for some integer b such that b > 1."
      ],
      "tags": [
        "specifically"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-pseudoprime.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/a/a2/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/a/a2/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav.ogg",
      "tags": [
        "US"
      ]
    }
  ],
  "word": "pseudoprime"
}

{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries referencing missing etymons",
    "English entries with etymology texts",
    "English entries with etymology trees",
    "English entries with etymon",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms prefixed with pseudo-",
    "English uncomparable adjectives",
    "Pages using etymon with no ID",
    "Pages with 1 entry",
    "Pages with entries",
    "Pages with etymology trees",
    "Pages with etymon"
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": ":af",
        "3": "pseudo-",
        "4": "prime",
        "text": "+",
        "tree": "1"
      },
      "expansion": "Etymology tree\nPre-Greekder.?\nAncient Greek ψεύδω (pseúdō)\nProto-Indo-European *-os\nProto-Indo-European *-ēs\nProto-Hellenic *-ēs\nAncient Greek -ης (-ēs)\nAncient Greek -ής (-ḗs)\nAncient Greek ψευδής (pseudḗs)der.\nMiddle English pseudo-\nEnglish pseudo-\nEnglish prime\nEnglish pseudoprime\n[Appendix:Glossary#derived_terms|Derived]] from\", \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"keyword_abbrev\" : \"der.\", \"is_uncertain\" : true, \"keyword_label\" : \"Derived from\", \"terms\" : [ { \"lang_name\" : \"Pre-Greek\", \"status\" : \"ok\", \"children\" : [ ], \"lang\" : \"qsb-grc\" } ], \"keyword\" : \"derived\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"ψεύδω\", \"status\" : \"ok\", \"lang\" : \"grc\" }, { \"children\" : [ { \"terms\" : [ { \"children\" : [ { \"terms\" : [ { \"alt\" : \"*-ēs\", \"lang_name\" : \"Proto-Hellenic\", \"status\" : \"inline\", \"children\" : [ { \"terms\" : [ { \"id\" : \"adjectival suffix\", \"children\" : [ { \"terms\" : [ { \"id\" : \"athematic\", \"children\" : [ ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-os\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"status\" : \"ok\", \"lang_name\" : \"Proto-Indo-European\", \"term\" : \"*-ēs\", \"lang\" : \"ine-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang\" : \"grk-pro\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ης\", \"status\" : \"ok\", \"lang\" : \"grc\" } ], \"keyword_label\" : \"From\", \"keyword\" : \"from\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"-ής\", \"status\" : \"ok\", \"lang\" : \"grc\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"Ancient Greek\", \"term\" : \"ψευδής\", \"status\" : \"ok\", \"lang\" : \"grc\" } ], \"keyword\" : \"derived\" } ], \"lang_name\" : \"Middle English\", \"term\" : \"pseudo-\", \"status\" : \"inline\", \"lang\" : \"enm\" } ], \"keyword_label\" : \"Inherited from\", \"keyword\" : \"inherited\" } ], \"lang_name\" : \"English\", \"term\" : \"pseudo-\", \"status\" : \"ok\", \"lang\" : \"en\" }, { \"children\" : [ ], \"lang_name\" : \"English\", \"term\" : \"prime\", \"status\" : \"missing\", \"lang\" : \"en\" } ], \"keyword_label\" : \"From\", \"is_group\" : true, \"keyword\" : \"affix\" } ], \"lang_name\" : \"English\", \"term\" : \"pseudoprime\", \"status\" : \"ok\", \"lang\" : \"en\" }\" data-lang=\"en\" data-title=\"pseudoprime\">\nFrom pseudo- + prime.",
      "name": "ety"
    }
  ],
  "etymology_text": "Etymology tree\nPre-Greekder.?\nAncient Greek ψεύδω (pseúdō)\nProto-Indo-European *-os\nProto-Indo-European *-ēs\nProto-Hellenic *-ēs\nAncient Greek -ης (-ēs)\nAncient Greek -ής (-ḗs)\nAncient Greek ψευδής (pseudḗs)der.\nMiddle English pseudo-\nEnglish pseudo-\nEnglish prime\nEnglish pseudoprime\nFrom pseudo- + prime.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "pseudoprime (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "glosses": [
        "Being such an integer."
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q1860 (eng)-Flame, not lame-pseudoprime.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/a/a2/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/a/a2/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-pseudoprime.wav.ogg",
      "tags": [
        "US"
      ]
    }
  ],
  "word": "pseudoprime"
}

Download raw JSONL data for pseudoprime meaning in English (9.7kB)

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2026-09-09 from the enwiktionary dump dated 2026-09-02 using wiktextract (ccec6f1 and 4deed51). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.