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zIFBoards gives you all the tools to create a successful discussion community.  Welcome to Did You Know? 
JaneFairfax 
Posted: 15:30 Wednesday 01 April 2009

The Enlightenment Group: Moderators Posts: 670 Member No.: 20 Joined: 03 Mar 2007 
Did you know? If for each positive integer n we let denote the number of integers less than or equal to n and coprime with n, then is called the Euler function. We have this interesting little result: The proof of this given in A Course in Number Theory by H.E. Rose is only a few lines long. 
Athene_noctua 
Posted: 16:53 Wednesday 01 April 2009

Beyond Infinity Group: Admin Posts: 2 192 Member No.: 2 Joined: 03 Jan 2007 
Did you know? Leonhard Euler (1707–83) was a Swiss mathematician.  
JaneFairfax 
Posted: 18:03 Wednesday 01 April 2009

The Enlightenment Group: Moderators Posts: 670 Member No.: 20 Joined: 03 Mar 2007 
Did you know? If In particular, if denotes the multiplicative group of congruence classes modulo k of integers coprime with k, then if 
Athene_noctua 
Posted: 19:01 Wednesday 01 April 2009

Beyond Infinity Group: Admin Posts: 2 192 Member No.: 2 Joined: 03 Jan 2007 
Did you know? Euler became blind in the latter part of his life.  
JaneFairfax 
Posted: 19:37 Wednesday 01 April 2009

The Enlightenment Group: Moderators Posts: 670 Member No.: 20 Joined: 03 Mar 2007 
Did you know? If Proof: Let be integers such that 
algebraic topology 
Posted: 14:04 Thursday 02 April 2009

Renaissance Group: Friends Posts: 143 Member No.: 14 Joined: 20 Feb 2007 
Did you know? If p is a prime, 
JaneFairfax 
Posted: 14:45 Thursday 02 April 2009

The Enlightenment Group: Moderators Posts: 670 Member No.: 20 Joined: 03 Mar 2007 
Did you know? In the language of Galois theory, Fermat’s little theorem says that if p is prime, then is a splitting field for the polynomial in 
algebraic topology 
Posted: 20:26 Thursday 02 April 2009

Renaissance Group: Friends Posts: 143 Member No.: 14 Joined: 20 Feb 2007 
Did you know? That means Letting x = 0 gives 
JaneFairfax 
Posted: 05:50 Friday 03 April 2009

The Enlightenment Group: Moderators Posts: 670 Member No.: 20 Joined: 03 Mar 2007 
Did you know? The converse of Wilson’s theorem is also true: if then p is a prime. 