30169
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of ordered quadruples of integers from [ 1,n ] with no common factors between triples.at n=31A015635
- Numbers k such that the continued fraction for sqrt(k) has period 77.at n=36A020416
- Prime means of 12 horizontal, vertical and main diagonal sums associated with primes in A094458.at n=13A094459
- Prime numbers p such that p^3 - p + 1 and p^3 + p - 1 are both primes.at n=32A137463
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 0, 1), (0, 1, -1), (1, -1, 0), (1, 1, 1)}.at n=8A149775
- Primes dividing some member of A073833.at n=40A161500
- a(n) = 10*a(n-1)-19*a(n-2) for n > 1; a(0) = 1, a(1) = 9.at n=5A164551
- G.f. A(x) satisfies A(x/(1-x))=x*(1+A(x))/(1-A(x)-A(x)^2).at n=13A201779
- Number of tilings of a 20 X n rectangle using 2n decominoes of shape I.at n=30A250667
- Number of tilings of a 30 X n rectangle using 3n decominoes of shape I.at n=20A251079
- Number of n-bit legal binary words with maximal set of 1s.at n=31A253412
- Triangle read by rows, T(n,k) = Sum_{j=0..n-k+1} j!*C(n-1,j-1)*T(n-j,k-1) if k != 0 else 1, n>=0, 0<=k<=n.at n=51A256895
- Primes prime(k) such that (prime(k), prime(k+1)), (prime(k+2), prime(k+3)), (prime(k+4), prime(k+5)) form a triangle of area 2.at n=27A308649
- Primes p such that q^2 - p^2 + 1 is the square of a composite number where p and q are consecutive primes.at n=29A316934
- Primorial base emirps: prime numbers whose primorial base reversal is a different prime.at n=17A333425
- Primes q such that 15*q-4, 15*q-2, 15*q+2 and 15*q+4 are all primes.at n=14A342717
- Primes that are the sum of the cubes of four primes, not necessarily distinct.at n=31A353249
- Prime numbersat n=3263