27457

Properties

Appears in sequences

• Primes prime(k) for which A049076(k) = 5.at n=4A049081
• Primes for which A049076 >= 4.at n=22A049090
• Primes for which A049076(p) >= 5.at n=8A049203
• Molien series for group G_{1,2}^{8} of order 1536.at n=39A051462
• Prime recurrence: a(n+1) = a(n)-th prime, with a(1) = 9.at n=5A057453
• The main diagonal of N. Fernandez's Order of Primeness array.at n=4A058010
• Group the natural numbers such that the n-th group contains n terms and the group sum is the smallest possible prime: (2), (1, 4), (3, 5, 9), (6, 7, 8, 10), (11, 12, 13, 14, 17), (15, 16, 18, 19, 20, 21), ... Sequence gives group sums.at n=37A075345
• Primes p giving prime quadruples (30p+11, 30p+13, 30p+17, 30p+19).at n=15A087771
• Numbers n such that 30*n+7, 30*n+11, 30*n+13, 30*n+17, 30*n+19 are consecutive primes.at n=27A089157
• Dispersion of the primes (an array read by downward antidiagonals).at n=49A114537
• a(n) = (1/2)*(n^3 - 6*n^2 + 13*n - 6).at n=39A158498
• Row sums of the triangle in A162371.at n=37A162373
• a(n) = 1 - 2*n^2 + 4*n*(1 + 2*n^2)/3.at n=22A168547
• T(n, k) = k^n*U(n, (1/k - k)/2) + (n + 1)^(k - 1)*U(k - 1, (1/(n + 1) - n - 1)/2), where U(n,x) is the n-th Chebyshev polynomial of the second kind, square array read by antidiagonals (n >= 0, k >= 1).at n=31A173591
• T(n, k) = k^n*U(n, (1/k - k)/2) + (n + 1)^(k - 1)*U(k - 1, (1/(n + 1) - n - 1)/2), where U(n,x) is the n-th Chebyshev polynomial of the second kind, square array read by antidiagonals (n >= 0, k >= 1).at n=32A173591
• Number of -6..6 arrays x(0..n-1) of n elements with zero sum, and adjacent elements not both strictly positive and not both strictly negative.at n=5A199896
• Number of -n..n arrays x(0..5) of 6 elements with zero sum, and adjacent elements not both strictly positive and not both strictly negative.at n=5A199901
• Array T(n,k) read along descending antidiagonals: row n contains the primes with n steps in the prime index chain.at n=40A236542
• Self-inverse permutation of natural numbers: a(1)=1, then a(p_n)=c_{a(n)}, a(c_n)=p_{a(n)}, where p_n = n-th prime, c_n = n-th composite.at n=54A236854
• a(n) = n-th pi-based antiderivative of 9.at n=5A259170