Fermat's Last Theorem

theorem in number theory that there are no nontrivial integer solutions of xⁿ+yⁿ=zⁿ for integer n>2
rdfs:label
"Fermat's Last Theorem"@en
skos:altLabel
"La conjetura de Fermat"@en
"La última conjetura de Fermat"@en
"teorema de wiles"@en
schema:description
"theorem in number theory that there are no nontrivial integer solutions of xⁿ+yⁿ=zⁿ for integer n>2"@en
schema:dateModified "2026-10-20T06:10:13+00:00"^^xsd:dateTime
schema:version 2559102315
wikibase:identifiers 40
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wdt:P10283 "C87670640"
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wdt:P11408 "フェルマーの最終定理"
wdt:P11514 "velikaia-teorema-ferma-712155"
wdt:P1318 Andrew Wiles
Richard Taylor
wdt:P1343 Mathwords
wdt:P13591 "concept/eafecdd8-5193-4098-83aa-5d94750e37d5"
wdt:P1368 "000204373"
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wdt:P138 Pierre de Fermat
wdt:P1417 "topic/Fermats-last-theorem"
wdt:P1617 "4d6e6d83-c24b-4728-bf62-31cc7269bac1"
wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Fermat%20last%20teorem.jpg>
wdt:P227 "4154012-8"
wdt:P2347 "1989"
wdt:P244 "sh85047827"
wdt:P2534 "<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">&#x2200;</mi><mi>a</mi><mo stretchy="false">&#x2208;</mo><mrow data-mjx-texclass="ORD"><mi>ℕ</mi></mrow><mo>,</mo><mi>b</mi><mo stretchy="false">&#x2208;</mo><mrow data-mjx-texclass="ORD"><mi>ℕ</mi></mrow><mo>,</mo><mi>c</mi><mo stretchy="false">&#x2208;</mo><mrow data-mjx-texclass="ORD"><mi>ℕ</mi></mrow><mo>,</mo><mi>n</mi><mo stretchy="false">&#x2208;</mo><mrow data-mjx-texclass="ORD"><mi>ℕ</mi></mrow><mo stretchy="false">:</mo><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>n</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>n</mi></mrow></msup><mo stretchy="false">&#x21D2;</mo><mi>n</mi><mo>&lt;</mo><mn>3</mn></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∀</mi><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo stretchy="false">∈</mo><msup><mrow data-mjx-texclass="ORD"><mi>ℕ</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">*</mo></mrow></msup><mo>,</mo><mi mathvariant="normal">∀</mi><mi>n</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi>ℕ</mi></mrow><mo stretchy="false">:</mo><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>n</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>n</mi></mrow></msup><mo stretchy="false">⇒</mo><mi>n</mi><mo>&lt;</mo><mn>3</mn></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi mathvariant="normal">∀</mi><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo stretchy="false">∈</mo><msup><mrow data-mjx-texclass="ORD"><mi>ℕ</mi></mrow><mrow data-mjx-texclass="ORD"><mo stretchy="false">∗</mo></mrow></msup><mo>,</mo><mi mathvariant="normal">∀</mi><mi>n</mi><mo stretchy="false">∈</mo><mrow data-mjx-texclass="ORD"><mi>ℕ</mi></mrow><mo stretchy="false">:</mo><msup><mi>a</mi><mrow data-mjx-texclass="ORD"><mi>n</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>n</mi></mrow></msup><mo stretchy="false">⇒</mo><mi>n</mi><mo>&lt;</mo><mn>3</mn></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2579 number theory
wdt:P268 "12103508g"
wdt:P2812 "FermatsLastTheorem"
wdt:P2924 "4709497"
wdt:P31 theorem
wdt:P3417 "Fermats-Last-Theorem"
wdt:P3553 "19637606"
wdt:P361 list of theorems
wdt:P373 "Fermat's last theorem"
wdt:P3827 "fermats-last-theorem"
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wdt:P6366 "87670640"
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"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>c</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
"<math class="mwe-math-element mwe-math-element-inline" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>n</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7305 "3900482"
wdt:P7554 "Fermat's_last_theorem"
wdt:P7666 "fermat-didzioji-teorema"
wdt:P7775 "Fermat's_last_theorem"
wdt:P8189 "987007529001405171"
wdt:P8313 "Fermats_store_sætning"
wdt:P8885 "페르마의 마지막 정리"
wdt:P910 Category:Fermat's Last Theorem
wdt:P9322 "0249247-velka-Fermatova-veta"
wdt:P9621 "l-ultimo-teorema-di-fermat"
"ultimo-teorema-di-fermat"
wdt:P998 "Science/Math/Number_Theory/Diophantine_Equations/Fermat's_Last_Theorem/"
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