360293
domain: N
Properties
Primality
- Prime
- yes
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=13A001992
- 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=15A060085
- Records in A001992.at n=9A094852
- Least prime p such that the first n primes are not squares mod p.at n=14A191089
- Increasing sequence of primes p such that all of 2,3,5,...,prime(n) are primitive roots mod p.at n=13A213052
- Primes p such that all of p - m^2, m = 2, 4, 6, 8, 10, are (positive) primes.at n=20A247941
- Primes p such that 2, 3, 5, 7, ..., 37 are all quadratic nonresidues modulo p.at n=10A306501
- a(n) is the least prime p = prime(k) > prime(n) such that A306530(k) = prime(n).at n=15A307965
- Prime numbersat n=30781