2013 UI UNDERGRADUATE MATH CONTEST 1. Let a1 = 2 and an 1 = a2n − an 1 for n = 1, 2, . . . . (i) Prove that the integers a1 , a2 , . . . are pairwise coprime (i.e., do not have a common prime factor). P 1 (ii) Prove - Pairwise coprime - Document - PDFSEARCH.IO

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	2013 UI UNDERGRADUATE MATH CONTEST 1. Let a1 = 2 and an+1 = a2n − an + 1 for n = 1, 2, . . . . (i) Prove that the integers a1 , a2 , . . . are pairwise coprime (i.e., do not have a common prime factor). P 1 (ii) Prove Add to Reading List Document Date: 2013-03-03 21:07:15 Open Document File Size: 112,29 KB Share Result on Facebook Product Pentax K-x Digital Camera / / URL http / SocialTag Number theory Modular arithmetic Diophantine approximation Exponentials Mathematics Floor and ceiling functions Mathematical notation

2013 UI UNDERGRADUATE MATH CONTEST 1. Let a1 = 2 and an+1 = a2n − an + 1 for n = 1, 2, . . . . (i) Prove that the integers a1 , a2 , . . . are pairwise coprime (i.e., do not have a common prime factor). P 1 (ii) Prove Add to Reading List