30319

Properties

Appears in sequences

• Primes of the form A002110(k) + prime(k+1)^2.at n=4A038768
• a(n) is the smallest prime of the form Q + c, where Q is the n-th primorial and c is a composite >= prime(n+1)^2.at n=5A038773
• Prime number spiral (clockwise, North spoke).at n=29A054551
• Smallest prime of the form m*Q(n) + r where Q(n) = A002110(n) (the n-th primorial) and r = prime(n+1)^2.at n=5A054757
• Number of ways to place 2n nonattacking kings on a 4 X 2n chessboard.at n=5A061593
• a(n) = smallest number m which can be obtained in n ways by subtracting twice a triangular number from a perfect square.at n=26A078714
• A triangular sequence of coefficients: p(x,n)=((-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(2*m - 1)^n*x^m, {m, 0, Infinity}] + (-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(2*m + 3)^n*x^m, {m, 0, Infinity}])/2.at n=29A154649
• A triangular sequence of coefficients: p(x,n)=((-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(2*m - 1)^n*x^m, {m, 0, Infinity}] + (-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(2*m + 3)^n*x^m, {m, 0, Infinity}])/2.at n=34A154649
• Primes of the form floor(binomial(k,2)/4).at n=39A171574
• Number of ways to place 6n nonattacking kings on a 12 x 2n chessboard.at n=2A174154
• Smallest emirp corresponding to A178585.at n=26A178586
• Smallest number k such that the continued fraction expansion of sqrt(k) contains n distinct numbers.at n=30A187142
• Emirps whose internal digits are also an emirp.at n=27A225235
• Volume of torus (rounded down) with major radius = n and minor radius = n/3.at n=23A228641
• Sum over all partitions of n of the number of distinct parts i of multiplicity i+1.at n=46A276434
• Number of 2 X 2 matrices with all terms in {-n,..,0,..,n} and (sum of terms) = determinant.at n=26A281194
• Sum of values of vertices at level n of the hyperbolic Pascal pyramid PP_(4,5).at n=8A293070
• Primorial base emirps: prime numbers whose primorial base reversal is a different prime.at n=23A333425
• Value of prime number D for incrementally largest values of minimal x satisfying the equation x^2 - D*y^2 = 2.at n=39A336786
• Values of prime numbers, D, for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = 2.at n=36A336788