19403
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- The $620 prime list.at n=8A018188
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEL = ZSM-11 Nan[AlnSi96-nO192] starting with a T7 atom.at n=13A019151
- a(0)=1, a(n) = prime(n^3).at n=13A055875
- (13^n)-th prime.at n=3A058246
- List of solutions to the Znám problem sorted first by length, then lexicographically.at n=21A075461
- Least initial value for a Euclid/Mullin sequence whose 3rd term (= least prime divisor of 1+2p) equals the n-th prime. prime(1)=2 is never a third term, so offset=2.at n=34A094464
- Prime(p^3) where p = prime(n).at n=5A096328
- Primes of the form 2*n^2 + 2*n - 1.at n=31A098828
- Primes and their indices such that when their respective SOD's are both prime, the SOD of the index is the nextprime of the prime SOD.at n=29A117458
- Primes congruent to 51 mod 59.at n=34A142778
- Primes congruent to 5 mod 61.at n=38A142803
- a(n) = 44*n^2 - 1.at n=20A158628
- Primes of the form (p^2 - 3)/2 where p is also prime.at n=21A165635
- Primes p such that q = p^2 + p + 1 is an emirp.at n=33A178545
- Number of strings of numbers x(i=1..n) in 0..n with sum i^3*x(i)^2 equal to n^5.at n=8A184295
- Number of partitions p of n such that the number of numbers having multiplicity 1 in p is a part and the number of numbers having multiplicity > 1 is a part.at n=41A241414
- (p^2 - 3)/2 for odd primes p.at n=43A243887
- Sum of terms in level n of TRIP - Stern sequence associated with permutation triple (e,13,132).at n=9A278616
- Relative of Hofstadter Q-sequence: a(n) = max(0, n+19395) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0.at n=10A283886
- Primes p such that A001175(p) = 2*(p+1)/9.at n=15A308786