36779

Properties

Appears in sequences

• Indices of prime Lucas numbers.at n=39A001606
• Numbers k such that floor(phi^k) is prime, where phi is the golden ratio.at n=39A059791
• 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=[2,6,4]; short d-string notation of pattern = [264].at n=34A078848
• Primes p such that the differences between the 5 consecutive primes starting with p are (2,6,4,2).at n=11A078948
• Primes of the form p = prime(k) = (prime(k+3)+prime(k-1))/2.at n=36A126238
• Primes p such that p+2, p*(p+2) + 12 and p*(p+2) + 14 are also prime.at n=3A130736
• Prime numbers p such that p^3 - (p+1)^2 and p^3 + (p+1)^2 are both primes.at n=35A137476
• Numbers k such that (x^k + 1/x^k)/(x + 1/x) is prime, where x = sqrt(3) + sqrt(2).at n=7A158892
• Primes p such that floor(phi^p) is prime.at n=35A168033
• Numbers n such that the n-th Lucas number is prime, but cannot be written in the form a^2 + 7*b^2.at n=19A216538
• Numbers n such that the n-th Lucas number is prime and can be written in the form a^2 + 3*b^2.at n=21A216554
• Numbers n such that the n-th Lucas number is prime and can be written in the form a^2 + 2*b^2.at n=30A216562
• Numbers n such that the n-th Lucas number is prime, but cannot be written in the form a^2 + 5*b^2.at n=30A216565
• Numbers n such that the n-th Lucas number is prime, but cannot be written in the form a^2 + b^2.at n=23A216566
• Numbers n such that the n-th Lucas number is prime and can be written in the form a^2 + 6*b^2.at n=8A216571
• Numbers n such that n-th Lucas number is prime, but cannot be written in the form a^2 + 10*b^2.at n=20A216576
• a(n) = the first member of a twin prime pair whose sum equals the sums of n consecutive pairs of twin primes.at n=35A226719
• Lesser of twin prime pairs of the form (40n - 21, 40n - 19).at n=45A250025
• For a lesser p of twin primes, let B_(p+2) and B_p be sequences defined as A159559, but with initial terms p+2 and p respectively. The sequence lists p for which all differences B_(p+2)(n)-B_p(n)<=6.at n=22A276848
• a(n) is the smallest lesser twin prime p from A001359 such that the distance to the previous lesser twin prime is 6*n.at n=41A340573