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Dec 3, 2018 at 13:28 comment added Zhi-Wei Sun If $p$ is an odd prime and $A=\{x^2:\ x\in\mathbb F_p\}$, then by the Cauchy-Davenport theorem we have $|A+A|\ge\min\{p,2|A|-1\}=p$ and hence $A+A=\mathbb F_p$.
Dec 3, 2018 at 11:57 history edited zabroshenie goroda CC BY-SA 4.0
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Dec 3, 2018 at 11:25 history edited zabroshenie goroda CC BY-SA 4.0
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Dec 3, 2018 at 11:20 history answered zabroshenie goroda CC BY-SA 4.0