19309
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Expansion of Product_{m>=1} (1+q^m)^(-4).at n=28A022599
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 96 ones.at n=9A031864
- Recursive prime generating sequence.at n=57A039726
- Numbers having four 5's in base 8.at n=4A043444
- Numbers n such that 261*2^n-1 is prime.at n=31A050889
- Expansion of (1-x)/(1 - 3*x - x^2 + 2*x^3).at n=9A052911
- McKay-Thompson series of class 24E for the Monster group.at n=28A112160
- Primes congruent to 16 mod 59.at n=36A142743
- Primes congruent to 33 mod 61.at n=37A142831
- Primes which are triangular numbers plus 3.at n=19A159047
- The Riemann primes of the psi type and index 2.at n=41A197186
- Number of nondecreasing sequences of n 1..7 integers with no element dividing the sequence sum.at n=20A212867
- Primes that are the sum of 25 consecutive primes.at n=27A215991
- Number of length n+4 0..n arrays with no five consecutive elements with pattern ababa or abbba (with a!=b) and new values 0..n introduced in 0..n order.at n=4A244693
- Number of length n+4 0..5 arrays with no five consecutive elements with pattern ababa or abbba (with a!=b) and new values 0..5 introduced in 0..5 order.at n=4A244697
- T(n,k)=Number of length n+4 0..k arrays with no five consecutive elements with pattern ababa or abbba (with a!=b) and new values 0..k introduced in 0..k order.at n=40A244702
- Primes of the form 7*k^2 + 7*k + 17.at n=40A256374
- Denominators of lower primes-only best approximates (POBAs) to Pi; see Comments.at n=19A265809
- Denominators of primes-only best approximates (POBAs) to Pi; see Comments.at n=22A265813
- Primes p such that A001175(p) = (p-1)/6.at n=20A308791