[數撚圍爐區] sem break又要溫書 (24)
MAEC大師兄
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Any (arithmetic) algebraic geometry/ algebraic number theory ppl here?
heres a lil challenge for u guys to toy with: Let p be a prime number. Prove that there exists a prime number q such that for every integer n, the number n^p − p is not divisible by q.
Real challenge if u manage to solve the above question: There exist infinitely many primes q such that x^p − p is irreducible mod q.
heres a lil challenge for u guys to toy with: Let p be a prime number. Prove that there exists a prime number q such that for every integer n, the number n^p − p is not divisible by q.
Real challenge if u manage to solve the above question: There exist infinitely many primes q such that x^p − p is irreducible mod q.
