Changes

added topics to curriculum
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== Draft Curriculum ==
 
== Draft Curriculum ==
   −
*different methods of proof:  [[constructive proof]], [[elementary proof]], induction, contradiction, existence
+
*different methods of proof:  [[constructive proof]], [[elementary proof]], induction, contradiction, existence, [[infinite descent]]
 
*controversy about proof by contradiction
 
*controversy about proof by contradiction
 
*17 different ways to prove that there are an infinite number of primes
 
*17 different ways to prove that there are an infinite number of primes
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*Unsolved problems:  proving that there are infinitely many [[twin primes]]
 
*Unsolved problems:  proving that there are infinitely many [[twin primes]]
 
*Problems solved only with proof-by-contradiction: always a prime between n and 2n (n>1)
 
*Problems solved only with proof-by-contradiction: always a prime between n and 2n (n>1)
−
*perfect numbers
+
*[[perfect numbers]]
 
*[[additive factoring]]
 
*[[additive factoring]]
 
*[[prime number theorem]]
 
*[[prime number theorem]]
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