List all integers $x$ in $1\leq x \leq 100$ that satisfy $x \equiv 3\pmod{17}$ Will it be enough if a calculate and write it as $3,20,37,54,71,88$ or I have to use any theorem?
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1Let's walk through this. Can you give an example of one number $x$ such that $x \equiv 3 \mod 17$? – Jsevillamol Jun 17 '18 at 18:05
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2The conditions in the title and in the question are different. – Martin R Jun 17 '18 at 18:06
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Yes it is 54 what after that – user568963 Jun 17 '18 at 18:07
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"Where should I start? What are the initial thoughts?" These are the questions which you should answer before we help you... – user1729 Jun 17 '18 at 18:11
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Hint: $3$ works; $17+3=20$ works; $2\cdot 17 +3 = 34 + 3 = 37$ works. Can you carry on?
mathphys
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Using this method gives an exhaustive list, so I can't see a reason to. – mathphys Jun 17 '18 at 18:27
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