170957

Properties

Appears in sequences

• Let p = n-th odd prime. Then a(n) = least prime congruent to 5 modulo 8 such that Legendre(a(n), q) = -1 for all odd primes q <= p.at n=12A001992
• a(n) gives least prime for which the n-th prime is the least prime which is not a primitive root of a(n) (see A060084), or 0 if the n-th prime never occurs in A060084.at n=14A060085
• Let p = n-th odd prime. Then a(n) = least positive integer congruent to 5 modulo 8 such that Legendre(a(n), q) = -1 for all odd primes q <= p.at n=12A094847
• Records in A094847.at n=8A094849
• Records in A001992.at n=8A094852
• Primes of the form (p*(q-1) + (p-1)*q)/2, where p and q are consecutive odd primes.at n=12A099911
• Least prime p such that the first n primes are not squares mod p.at n=13A191089
• Increasing sequence of primes p such that all of 2,3,5,...,prime(n) are primitive roots mod p.at n=12A213052
• a(n) = (A242804(n)-9)/12.at n=16A257044
• Primes p such that 2, 3, 5, 7, ..., 37 are all quadratic nonresidues modulo p.at n=3A306501
• a(n) is the least prime p = prime(k) > prime(n) such that A306530(k) = prime(n).at n=14A307965
• Prime numbersat n=15583