27509
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that remain prime through 4 iterations of function f(x) = 6x + 5.at n=24A023317
- Numerators of continued fraction convergents to sqrt(489).at n=8A041932
- Denominators of continued fraction convergents to sqrt(911).at n=7A042761
- Number of asymmetric (identity) trees with n nodes and 7 leaves.at n=8A055338
- a(n) = Sum_{i=0..n} 2^i*B(i)*binomial(n,i) where B(n) = Bell numbers A000110(n).at n=6A126390
- a(n) = 52*n^2 + 1.at n=23A158644
- Seventh prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=20A238679
- Least prime of the form x^2+13*n^2.at n=45A248409
- Primes p = x^2 + y^2 such that x - y is a cube greater than one.at n=37A282405
- Number of alternating strict compositions of n. Number of alternating (up/down or down/up) permutations of strict integer partitions of n.at n=35A349054
- Number of pairs (y, v) of integer partitions of n where the length of v equals the number of distinct parts in y.at n=20A355385
- Prime numbersat n=3005