mateforum.ro Forum Index mateforum.ro

 
 FAQFAQ   SearchSearch   MemberlistMemberlist   UsergroupsUsergroups   RegisterRegister 
 ProfileProfile   Log in to check your private messagesLog in to check your private messages   Log inLog in 

Evaluare simpla de parte intreaga (own)

 
Post new topic   Reply to topic    mateforum.ro Forum Index -> Juniori -> Teoria Numerelor
View previous topic :: View next topic  
Author Message
Filip Chindea
Newton


Joined: 27 Sep 2007
Posts: 323
Location: Bucharest

PostPosted: Tue Oct 16, 2007 9:36 pm    Post subject: Evaluare simpla de parte intreaga (own) Reply with quote

Fie n un numar natural nenul pentru care \left[ \frac{n}{p} \right] este para, oricare ar fi p prim. Aratati ca n = 1.
Vezi si topic-ul de la sectiunea "Seniori".
_________________
Life is complex: it has real and imaginary components.
Back to top
View user's profile Send private message Yahoo Messenger
Horia Nicolaescu
Euclid


Joined: 05 May 2010
Posts: 11
Location: Bucuresti

PostPosted: Thu May 06, 2010 4:02 pm    Post subject: Reply with quote

Presupunem n>=2.
Fie p cel mai mare numar prim mai mic sau egal cu n.
[n/p]>=1 rezulta [n/p]>=2 si deci n/p>=2,n>=2p.
Dar in intervalul (p;2p) mai exista un numar prim q (Postulatul lui Bertrand)
p<q<2p<=n,ceea ce este in contradictie cu alegerea lui p.
Back to top
View user's profile Send private message
Display posts from previous:   
Post new topic   Reply to topic    mateforum.ro Forum Index -> Juniori -> Teoria Numerelor All times are GMT + 2 Hours
Page 1 of 1

 
Jump to:  
You cannot post new topics in this forum
You cannot reply to topics in this forum
You cannot edit your posts in this forum
You cannot delete your posts in this forum
You cannot vote in polls in this forum



Powered by phpBB © 2001, 2005 phpBB Group