18379
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=35A003421
- a(n) = least k such that 1+2+...+k >= E{1,2,...,n}, where E is the 3rd elementary symmetric function.at n=42A027917
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=36A046020
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == (mod 5) so far).at n=29A060732
- Smaller of two consecutive primes which are anagrams of each other.at n=1A069567
- List of Ormiston prime pairs.at n=2A072274
- a(2*n), a(2*n+1) is the smallest consecutive prime pairs with at least n distinct common decimal digits.at n=10A076491
- Numbers k such that numerator(Bernoulli(2*k)/(2*k)) is different from numerator(Bernoulli(2*k)/(2*k*(2*k-1))).at n=69A090495
- 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=9A096636
- Smallest prime p == 3 mod 8 (A007520) 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=9A096638
- Primes congruent to 41 mod 53.at n=38A142571
- Primes congruent to 30 mod 59.at n=36A142757
- Primes congruent to 18 mod 61.at n=37A142816
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/9.at n=11A152309
- Numbers n with property that n^2 is a concatenation of three 3-digit primes.at n=26A153139
- Smaller prime p in Ormiston pairs (p, q) with q - p = 18.at n=1A163678
- Duplicate of A163678.at n=1A175517
- Numbers k such that the periodic part of the continued fraction of sqrt(k) has more ones than any smaller k.at n=33A206579
- Smaller of two consecutive primes whose product of digits is equal and nonzero.at n=5A230083
- 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=8A237436