Baltic Way 2019 · Problem 17

Number Theory

Let $p$ be an odd prime. Show that for every integer $c$ , there exists an integer $a$ such that

a^{\frac{p+1}{2}}+(a+c)^{\frac{p+1}{2}}\equiv c\pmod p.

When you’re ready

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Review

Primes · Modular arithmetic

No verified local solution is currently available.

Results from Baltic Way 2019

11 teams

Score distribution

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