MATH 3345 Lecture Notes - Lecture 11: Counterexample, Mathematical Induction, Joule

• School: Ohio State University
• Department: Mathematics
• Course: MATH 3345
• Professor: Rodica Costin

Document Summary

X we say that d ix divisible by d a b. Remark i het bl x x is then al x. Bas het a lb and proof a ic then at btc. E z prove that if and al b and al b ak and al c. 4 iso and l e 21 therefore al b c ake ack c al e. Ei dl 2 del lo we always d can be d can be. U ssume x e n d c in. Def a natural prime number p e n is and if tou be in so that al b. 6 is not prime 6 a 3 2 and. Theorem will we number we is assume that prove a product of primes any this is true natural. Let p themoremy the prime proof assume are infinitely many primes the arrive are only that p n be all there contradiction finitely many primes pz numbers.