35449

Properties

Appears in sequences

• Indices of prime Lucas numbers.at n=38A001606
• Numbers k such that floor(phi^k) is prime, where phi is the golden ratio.at n=38A059791
• Numbers k such that 5^k - 4^k is prime.at n=13A059802
• Primes that are a concatenation of 3, 5 and a prime.at n=20A101219
• Primes of the form Sum_{k=1..n} phi(prime(k)).at n=19A101302
• Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 6 which is flat, i.e., with all blocks in parallel position and symmetric after a rotation by 180 degrees.at n=9A123797
• Primes p such that floor(phi^p) is prime.at n=34A168033
• 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=18A216538
• 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=20A216554
• 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=29A216562
• 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=29A216565
• Numbers n such that the n-th Lucas number is prime and can be written in the form a^2 + b^2.at n=15A216567
• 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=7A216571
• Numbers n such that the n-th Lucas number is prime and can be written in the form a^2 + 10*b^2.at n=18A216575
• Number of runs of strictly increasing numbers of 2 X 2 squares in the list of partitions of n^2 into squares, where partition sorting order is ascending with larger squares taking higher precedence.at n=17A227940
• Primes of the form (k^2+4)/5.at n=37A245042
• Primes p such that 2*prime(p) + 1 = prime(q) for some prime q.at n=35A261361
• Number of 2 X 2 matrices with all elements in {-n,..,0,..,n} with permanent = determinant * n.at n=41A280407
• Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2) + 2n, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4.at n=17A293350
• a(n) = number of triangles with integer sides i <= j <= k with radius of circumcircle <= n.at n=39A331229