81769
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- G.f.: x*(1-x^2)*(x^4+x^3-x^2+x+1) / (x^8-4*x^6-x^4-4*x^2+1).at n=17A005822
- Primes of the form 2*n^2 + 46*n + 21.at n=21A217495
- Prime(k), where k is such that (1 + Sum_{i=1..k} prime(i)^2) / k is an integer.at n=21A233862
- Primes of the form p^3 + q^2 + r, where p, q, r are consecutive primes.at n=3A258269
- Numbers k such that A334943(k) = 1.at n=25A335773
- Number of polyhedra formed when an n-antiprism, formed from two n-sided regular polygons joined by 2n adjacent alternating triangles, is internally cut by all the planes defined by any three of its vertices.at n=5A338806
- Number of Dyck paths of semilength n with strongly unimodal peak heights such that neighboring peaks differ in height by exactly one and first and last peak are at height one.at n=30A371926
- Prime numbersat n=7998