78439

Properties

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=44A003421
• Smallest prime 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=11A096636
• 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=11A096640
• Numbers n of the form 4*k+3 such that 2^(m-1) == 1 (mod m) where m = (2*n-1)*n.at n=13A187923
• Least prime p > prime(n+1) such that p is a square mod the first n odd primes 3, 5, 7, 11, ..., prime(n+1).at n=9A237436
• Least prime p > prime(n+1) such that p is a square mod the first n odd primes 3, 5, 7, 11, ..., prime(n+1).at n=10A237436
• Nonsquare factors k > 0 such that k*x^2 - 1 produces a new minimum of its Hardy-Littlewood constant.at n=30A331948
• Slowest increasing sequence of primes such that a(n - 1) + a(n) and a(n - 1)^2 + a(n)^2 are both semiprimes, with a(1)=2.at n=44A365050
• Prime numbersat n=7698