@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q851604 rdfs:label "تخمين فيرما كاتالان"@ar,
        "conjectura de Fermat–Catalan"@ca,
        "Fermatova-Catalanova domněnka"@cs,
        "Fermat-Catalan-Vermutung"@de,
        "Εικασία Φερμά-Καταλάν"@el,
        "Fermat–Catalan conjecture"@en,
        "konjekto de Fermat-Catalan"@eo,
        "conjetura de Fermat–Catalan"@es,
        "conjecture de Fermat–Catalan"@fr,
        "Fermat–Catalan-sejtés"@hu,
        "フェルマー＝カタラン予想"@ja,
        "페르마-카탈랑 추측"@ko,
        "vermoeden van Fermat-Catalan"@nl,
        "conjectura de Fermat-Catalan"@pt,
        "гипотеза Ферма-Каталана"@ru,
        "Fermat–Catalans förmodan"@sv,
        "гіпотеза Ферма — Каталана"@uk,
        "費馬-卡塔蘭猜想"@zh ;
    schema1:dateModified "2026-10-19T20:48:20+00:00"^^xsd:dateTime ;
    schema1:description "generalization of Fermat's Last Theorem and Catalan's conjecture: a^m+b^n=c^k has only finitely many positive-integer solutions where a, b, c are coprime and m, n, k  satisfy 1/m+1/n+1/k<1"@en,
        "la nombroteoria konjekto, ke a^m+b^n=c^k havas nur finie multaj pozitiventjeraj solvoj, se a, b, c estas primaj inter si kaj 1/m+1/n+1/k<1"@eo,
        "conjetura matemática"@es,
        "conjecture mathématique sur les travaux de Fermat et de Catalan"@fr,
        "matematikai probléma"@hu,
        "wiskundig probleem"@nl ;
    schema1:version 2558920480 ;
    wikibase:identifiers 3 ;
    wikibase:sitelinks 15 ;
    wikibase:statements 7 ;
    skos:altLabel "Fermat-Catalanova domněnka"@cs,
        "Conjetura de Fermat-Catalan"@es,
        "Fermat–Catalan猜想"@zh ;
    p:P138 wds:Q851604-08f49988-4dff-3ae5-cbbd-9b0ac1af6d22 ;
    p:P2534 wds:Q851604-80c302ac-47c2-5697-5463-9bfdc7bcca48 ;
    p:P2812 wds:Q851604-D991C11E-FE6C-4748-82B9-F1408EBAE6AA ;
    p:P31 wds:Q851604-e6d6ed9d-4e2b-bb85-af7a-7e9c3e2f8307 ;
    p:P6104 wds:Q851604-9F209DB8-9879-44B9-8F8B-0AF8F253981D ;
    p:P6366 wds:Q851604-54B81081-06F4-4293-8470-013C1D4EFD78 ;
    p:P646 wds:Q851604-52987B1A-F526-4CD5-A490-52DBEBC49532 ;
    wdtn:P6366 <https://makg.org/entity/2778195789> ;
    wdt:P138 wd:Q75655 ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline mathjax_ignore\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">{</mo><mo stretchy=\"false\">(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>,</mo><mi>m</mi><mo>,</mo><mi>n</mi><mo>,</mo><mi>k</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">∈</mo><mo stretchy=\"false\">(</mo><msup><mrow data-mjx-texclass=\"ORD\"><mi>ℤ</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">+</mo></mrow></msup><msup><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mn>6</mn></mrow></msup><mo stretchy=\"false\">|</mo><msup><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mi>m</mi></mrow></msup><mo stretchy=\"false\">+</mo><msup><mi>b</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msup><mo stretchy=\"false\">=</mo><msup><mi>c</mi><mrow data-mjx-texclass=\"ORD\"><mi>k</mi></mrow></msup><mo>,</mo><mspace width=\"0.278em\"></mspace><mn>1</mn><mo lspace=\"0\" rspace=\"0\">/</mo><mi>m</mi><mo stretchy=\"false\">+</mo><mn>1</mn><mo lspace=\"0\" rspace=\"0\">/</mo><mi>n</mi><mo stretchy=\"false\">+</mo><mn>1</mn><mo lspace=\"0\" rspace=\"0\">/</mo><mi>k</mi><mo>&lt;</mo><mn>1</mn><mo stretchy=\"false\">=</mo><mo>gcd</mo><mo>&#x2061;</mo><mo stretchy=\"false\">{</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo stretchy=\"false\">}</mo><mo data-mjx-texclass=\"CLOSE\">}</mo></mrow><mo>&lt;</mo><mi mathvariant=\"normal\">∞</mi></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2812 "Fermat-CatalanConjecture" ;
    wdt:P31 wd:Q319141 ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "2778195789" ;
    wdt:P646 "/m/05zkdhh" .