48799
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Nonsquare values of m in the discriminant D = 4*m leading to a new maximum of the L-function of the Dirichlet series L(1) = Sum_{k>0} Kronecker(D,k)/k.at n=40A003421
- Partition function coefficients for square lattice spin 2 Ising model.at n=52A010108
- Second term p(m) of strong prime sextets: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3).at n=16A054814
- Numbers n such that the number formed by the digits of 2n sorted in descending order is equal to the sum of the divisors of n after the digits of each divisor have been sorted in descending order (all zeros dropped).at n=8A083389
- Smallest prime p == 7 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=8A096640
- Primes with digit sum = 37.at n=3A106771
- Smallest number k such that the continued fraction expansion of sqrt(k) contains n distinct numbers.at n=36A187142
- Primes p such that p - phi(k)^2 is not prime for 1 <= phi(k)^2 < p.at n=21A216684
- Numbers k such that 8^k + 9 is prime.at n=15A217382
- Primes related to the strictly increasing subsequence of A053666.at n=45A230041
- Nonsquare factors k > 0 such that k*x^2 - 1 produces a new minimum of its Hardy-Littlewood constant.at n=28A331948
- Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 2.at n=45A336786
- Values of prime numbers, D, for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = 2.at n=42A336788
- Indices of records in A028832.at n=36A374232
- Prime numbersat n=5018