[phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 489: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 385: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/bbcode.php on line 385: preg_replace(): The /e modifier is no longer supported, use preg_replace_callback instead [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4787: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4789: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4790: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887) [phpBB Debug] PHP Warning: in file [ROOT]/includes/functions.php on line 4791: Cannot modify header information - headers already sent by (output started at [ROOT]/includes/functions.php:3887) UBA - CienciaS • Ver Tema - [Resuelto] 17/05/03 EJ 4
Sean a,b enteros tales que (a:b)=1. Hallar todos los posibles valores de:
Lo que intenté hacer yo: pedazo de resolucion q no c si esta bien XD
Gracias Agustín por el aporte del final =P
Edit:Ya lo terminé
Última edición por Pape el 30 Ago 2008, 18:02, editado 1 vez en total
_________________ Pape Trataremos de buscarle una solución más útil que el famoso "reinicie el equipo y vea si mejora"
exequiel131719
Asunto: Re: [A Resolver] 17/05/03 EJ 4
Publicado: 30 Ago 2008, 15:54
Site Admin
Registrado: 17 May 2008, 23:04 Mensajes: 812
Vos conclúíste que de haber un primo como divisor, es ; o sea, obtuviste que los posibles valores del mcd son de la forma . Ahora bien, simplemente estudiá módulo 3; fijate que no son posibles casos(verificalo; si supones , vas a obtener . Lo mismo suponiendo , obtenés . Y claramente no pueden valer simultánemanete, por ser coprimos ). O sea, . El bonito resultado es que vale Fermat, o sea, (recordá que vale por ser primo). Luego, tomando módulo 3 en cada número, queda:
O sea, nunca son divisibles por . Luego, siempre (es decir, si no son divisibles por 3, nunca van a ser divisibles por alguna potencia de 3). Fijate si te sirve el planteo, o si hay algún problema con el mismo. Saludos.
_________________ I offer her that kernel of myself that I have saved, somehow; the central heart that deals not in words, traffics not with dreams and is untouched by time, by joy, by adversities
Pape
Asunto: Re: [A Resolver] 17/05/03 EJ 4
Publicado: 30 Ago 2008, 16:22
Ayudante de Primera
Registrado: 16 May 2008, 23:00 Mensajes: 167
tenes razón...viste yo dije q "si no me estaba olvidando de nada" era 3....Gracias por la aclaración
_________________ Pape Trataremos de buscarle una solución más útil que el famoso "reinicie el equipo y vea si mejora"
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