82021
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 38.at n=8A031626
- Primes with 22 as smallest positive primitive root.at n=19A061334
- Smallest prime p == 5 mod 8 (A007521) and p > prime(n+2) such that p is a quadratic residue mod the first n odd primes 3, 5, 7, 11, ..., prime(n+1), and p is a quadratic non-residue mod prime(n+2).at n=9A096639
- Least solution to the Pellian equation x^2 - k*y^2 = 1 (A002349) such that 2^2^n < y <= 2^2^(n+1).at n=12A099194
- Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = -3.at n=31A336801
- Value of prime number D for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = -3.at n=28A341077
- Primes in A284798.at n=16A372770
- Primes p such that if q and r are the next two primes, (p - 1)^2 + 1, (q - 1)^2 + 1 and (r - 1)^2 + 1 are all prime.at n=9A376605
- Prime numbersat n=8022