65407

Properties

Appears in sequences

• Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern = [6, 6, 4]; short d-string notation of pattern = [664].at n=35A078858
• Sequence of primes p(n) such that 2*p(n)+3, 2*p(n+1)+3, 2*p(n+2)+3 are consecutive primes, where p(i) denotes the i-th prime.at n=6A088119
• Primes with a single 0 bit in their binary expansion.at n=32A095078
• Numbers that contain a single zero in bases 2 and 10.at n=29A118681
• Odd primes of the form (1+n)*(2+2*n)+n*(3+2*n) = 4*n^2+7*n+2.at n=32A171749
• Let a(0) = 1. Either, a(n) = the smallest prime not yet occurring in the sequence that, when written in binary, it is a substring in the binary representation of a(n-1); or, if no such prime exists, a(n) = the smallest prime not yet occurring that when written in binary, a(n-1) is contained as a substring within it.at n=28A175310
• Primes of the form 2^t-2^k-1, k>=1.at n=36A181741
• a(n) = 4^(n+1)-2^n-1.at n=7A187560
• Numbers in A206853 without proper divisors > 1 from the same sequence.at n=38A209630
• Primes in the union of all n-step Lucas sequences.at n=37A227885
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 419", based on the 5-celled von Neumann neighborhood.at n=30A288062
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 422", based on the 5-celled von Neumann neighborhood.at n=46A288124
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 422", based on the 5-celled von Neumann neighborhood.at n=47A288124
• Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 515", based on the 5-celled von Neumann neighborhood.at n=15A288827
• a(n) = A163617(A110240(n)) = A110240(n) OR 2*A110240(n).at n=7A328104
• Prime numbersat n=6532