18313
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/23 ).at n=27A011933
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 86 ones.at n=16A031854
- a(n) = prime(100*n).at n=20A031921
- Denominators of continued fraction convergents to sqrt(664).at n=11A042277
- a(n) is the smallest value of k such that number of non-unitary prime divisors of k-th Catalan number, A000108(k) = C(2*k,k)/(k+1) equals n.at n=25A081395
- Number of partitions into a square number of parts.at n=47A089333
- Let p = prime(sigma(n)) and q = prime(phi(n)), then p is in the sequence if p-q = 6.at n=23A103176
- Triangle read by rows: number of labeled partitions of n with maximin m.at n=51A113547
- Primes of the form x^2 + 1848*y^2.at n=49A139668
- Number of (4,2)-noncrossing partitions of [n].at n=9A140980
- Primes congruent to 28 mod 53.at n=37A142558
- Primes congruent to 23 mod 59.at n=39A142750
- Primes congruent to 13 mod 61.at n=38A142811
- Numbers n such that there exists an integer k with (n+1)^3 - n^3 = 7*k^2.at n=2A144929
- A functionally symmetric Polynomial as a triangle of coefficients: p(x,n)=If[n == 0, 1, (x + 1)^n + 2^(n - 2)*Sum[(2^(m-1) + 2*m-2 )*x^m*(1 + x^(n - 2*m)), {m, 1, n - 1}]].at n=46A146956
- A functionally symmetric Polynomial as a triangle of coefficients: p(x,n)=If[n == 0, 1, (x + 1)^n + 2^(n - 2)*Sum[(2^(m-1) + 2*m-2 )*x^m*(1 + x^(n - 2*m)), {m, 1, n - 1}]].at n=53A146956
- Primes p of the form p = prime(n) + prime(n+1) - 5 and p = prime(k) + prime(k+1) + 5.at n=36A207992
- Number of n X 3 nonconsecutive chess tableaux.at n=10A214459
- Primes p such that both prevprime(p^2) - 2 and nextprime(p^2) + 2 are also primes.at n=9A226986
- Primes formed from concatenation of PrimePi(n) and prime(n).at n=22A236551