57529

Properties

Appears in sequences

• Primes of the form (k+1)*prime(k) + k*prime(k+1).at n=28A097241
• Primes that do not divide any term of the Lucas 5-step sequence A074048.at n=16A106301
• Primes p such that p,q,r,s are consecutive primes and 2p+9, 2q+9, 2r+9, 2s+9 are also primes.at n=11A190354
• Number of active (ON, black) cells at stage 2^n-1 of the two-dimensional cellular automaton defined by "Rule 205", based on the 5-celled von Neumann neighborhood.at n=7A270730
• a(n) is the smallest prime p such that there is a multiplicative subgroup H of Z/pZ, of odd order and of index 2n, such that for any two cosets H1 and H2 of H, H1 + H2 contains all of (Z/pZ)\0, except that H+H contains all of (Z/pZ)\0 except -H. If no such prime exists, a(n) = 0.at n=35A294615
• Balanced primes of order fourteen.at n=9A300365
• Prime numbersat n=5830