300301
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes formed by concatenating n with n+1.at n=34A030458
- First member of a prime quadruple in a p^2+p-1 progression.at n=20A057325
- 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=11A096639
- Smallest prime p such that the maximum run length of consecutive quadratic nonresidues modulo p is n.at n=40A129201
- Numbers k such that psi(phi(k))/k > psi(phi(m))/m for all m < k, where phi is Euler's totient function (A000010) and psi is the Dedekind psi function (A001615).at n=28A293712
- Value of prime number D for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = -3.at n=38A341077
- Primes formed by the concatenation of exactly two consecutive composite numbers.at n=17A342049
- Prime numbersat n=26020