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*different methods of proof:  [[constructive proof]], [[elementary proof]], induction, contradiction, existence, [[infinite descent]]
 
*different methods of proof:  [[constructive proof]], [[elementary proof]], induction, contradiction, existence, [[infinite descent]]
 +
*defining [[integer]]s
 
*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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*Goldbach's Conjecture and Fermat's Last Theorem
 
*Goldbach's Conjecture and Fermat's Last Theorem
 
*Unsolved problems:  proving that there are infinitely many [[twin primes]]
 
*Unsolved problems:  proving that there are infinitely many [[twin primes]]
 +
*[[Bruno's constant]]
 
*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 number]]s
 
*[[perfect number]]s
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