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UBA - CienciaS Foro de Alumnos 2013-07-04T20:05:13-03:00 http://ubacs.com.ar/ubacs/feed.php?f=15&t=2926 2013-07-04T20:05:13-03:00 2013-07-04T20:05:13-03:00 http://ubacs.com.ar/ubacs/viewtopic.php?t=2926&p=15592#p15592 <![CDATA[Re: Ejercicio de enteros 19/12/01]]> y ademas d|7a entonces podes decir que aq|7a. De aca podemos sacar por propiedades de divisibilidad al a y te queda que q|7, esto es cierto si solo si q=7 o q=1 (porque "7" es primo), como nos dijeron que d no es "a" entonces q=7...
luego pasamos esto que aprendimos a la otra parte, 7a|5a⁹⁸ -a
pasandolo a congruencia quedaria que 5a⁹⁸ = a (7a)... con propiedades de congruencia quedaria que
5a⁹⁷=1(7) por fermat podemos agregarle que a⁶=1(7) entonces a⁹⁶=1(7) , podemos sacarnos de encima 96 potencias de a y queda: 5a=1(7) ahora invertimos el 5 y terminamos con que:
-a=3(7) entonces a=-3(7) y entonces : a=4(7) , listo! avisame si me equivoque en algo che

Estadísticas: Publicado por cosa65 — 04 Jul 2013, 20:05

]]> 2013-07-02T14:33:53-03:00 2013-07-02T14:33:53-03:00 http://ubacs.com.ar/ubacs/viewtopic.php?t=2926&p=15585#p15585 <![CDATA[Ejercicio de enteros 19/12/01]]>
Empece asi:
Sea qvq
Pero y

Entonces quedan congruencias



Estaria bien hasta aca como encare el ejercicio? Llegado este punto como seguiria?
Por la potencia de a (y como esta sacado de un segundo parcial) se me hace que habria que aplicar fermat de alguna manera, pero me faltan pasos intermedios...

Estadísticas: Publicado por 46&2 — 02 Jul 2013, 14:33

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