19463
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of form n^2 + n + 3.at n=17A027753
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 2,6]; short d-string notation of pattern = [626].at n=24A078854
- Primes p such that the differences between the 5 consecutive primes starting with p are (6,2,6,6).at n=4A078960
- Least k such that the class number of quadratic order of discriminant D=-4k equals p, where p runs through the primes.at n=30A079029
- Numbers k such that (65*10^(k-1) + 43)/9 is a depression prime.at n=8A082711
- a(n) = prime(Lucas(n)), Lucas numbers beginning at 2 (A000032).at n=16A094894
- Smallest prime equal to the sum of n distinct squares.at n=36A100559
- The maximal coefficient of (1+x)*(1+x^4)*(1+x^9)*...*(1+x^(n^2)).at n=25A160235
- Primes p such that (p reversed)-10 is a square.at n=26A167475
- Number of minimally unitary multisets in the unit groups of Z/nZ.at n=34A218756
- Number of minimally unitary multisets in the unit groups of Z/nZ.at n=38A218756
- Number of minimally unitary multisets in the unit groups of Z/nZ.at n=44A218756
- Primes p with pi(p) and pi(p^2) both prime, where pi(.) is given by A000720.at n=27A237659
- Number of canonical generators for Z_4 + Z_n.at n=4A238102
- Least prime divisor of B(n) which does not divide any B(k) with k < n, or 1 if such a primitive prime divisor of B(n) does not exist, where B(n) is the n-th Bell number given by A000110.at n=17A242171
- Prime-Indexed Primes (PIPs) k such that the sum of all PIPs <= k is a prime.at n=34A261148
- Primes p such that prime(p)^2 - 2 = prime(q) for some prime q.at n=19A261354
- Initial member of 6 consecutive primes a, b, c, d, e, f such that (a + f) = (b + e), (a + e) = (b + d) and (c + f) = (d + e).at n=2A292743
- Primes with record values of corresponding Fortunate numbers (A005235).at n=43A317479
- a(n) = A333552(A333551(n)): indices of terms in Recamán's sequence A005132 where the construction avoided a record-sized collision.at n=43A333553