e/Brocard's problem

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has glosseng: Brocard's problem asks to find integer values of n for which
lexicalizationeng: Brocard's problem
instance of(noun) a hypothesis that has been formed by speculating or conjecturing (usually with little hard evidence); "speculations about the outcome of the election"; "he dismissed it as mere conjecture"
conjecture, speculation
Meaning
Finnish
has glossfin: Brocardin ongelma kysyy, millä luonnollisilla luvuilla n pätee n! + 1 =m^2 , jossa n! on luvun n kertoma ja jossa m on kokonaisluku. Ongelmalle tunnetaan vain kolme ratkaisua: n = 4, n = 5 ja n = 7. Ainoat ratkaisuparit muotoa (m, n) ovat siis (5, 4), (11, 5) ja (71, 7) . Näitä pareja kutsutaan Brownin luvuiksi. Ongelmalle ei ole muita ratkaisuja, kun n \le 10^9 , ja arvellaankin, että muita ratkaisuja ei ole.
lexicalizationfin: Brocardin ongelma
Italian
has glossita: In teoria dei numeri, il problema di Brocard chiede di trovare per quali interi n, lespressione n! + 1 è un quadrato perfetto; si congettura che ciò avvenga solo per n uguale a 4, 5 o 7. In altre parole, non è noto se esistano altre soluzioni (n, m) dellequazione diofantea
lexicalizationita: problema di Brocard
Swedish
has glossswe: Brocards problem går ut på att hitta naturliga tal n och m sådana att :n!+1=m2, det vill säga att n-fakultet är ett mindre än en heltalskvadrat. Problemet formulerades av Henri Brocard i två artiklar från 1876 och 1885, och av Srinivasa Ramanujan 1913 (oberoende av Brocard).
lexicalizationswe: Brocards problem

Query

Word: (case sensitive)
Language: (ISO 639-3 code, e.g. "eng" for English)


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