Recent content by robin_vanp
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Graduate Can Arithmetic Progressions Form Infinite Relatively Prime Subsequences?
and deriving some sort of solution that does not employ dirichlet's theorem, i think, because then that would be obvious; i really do not know how the CRT can be used here.- robin_vanp
- Post #6
- Forum: Linear and Abstract Algebra
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Graduate Can Arithmetic Progressions Form Infinite Relatively Prime Subsequences?
right again. its actually a two part question so it says on the top that (a,b) = 1, i forget to mention; if so (now that we finally got the problem) how is the CRT applicable here?- robin_vanp
- Post #5
- Forum: Linear and Abstract Algebra
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Graduate Can Arithmetic Progressions Form Infinite Relatively Prime Subsequences?
sorry, assuming a, b are non zero- robin_vanp
- Post #3
- Forum: Linear and Abstract Algebra
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Graduate Can Arithmetic Progressions Form Infinite Relatively Prime Subsequences?
a question came up "show that the arithmetic progression ax+b contains an infinite subsequence (not necessarily a progression), every two of whose elements are relatively prime." i have a hunch that the chinese remainder theorem has something to do with this, but I'm not sure how. any...- robin_vanp
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- Arithmetic
- Replies: 5
- Forum: Linear and Abstract Algebra