34667

Properties

Appears in sequences

• a(n) = floor(n*phi^18), where phi is the golden ratio, A001622.at n=6A004933
• Primes that remain prime through 3 iterations of function f(x) = 6x + 7.at n=29A023289
• Records in A079372.at n=16A079373
• Primes dividing numbers k such that k divides the k-th Lucas number A000032(k).at n=6A129729
• Primes of the form 3*k^2 + 9*k + 5.at n=37A171838
• The sequence gives prime numbers formed from the sum of the squares of composite numbers and the corresponding prime numbers.at n=16A180233
• Triangle read by rows, where row n starts with n-th prime, followed by n primes in arithmetic progression; T(0,0) = 1 by convention.at n=33A211890
• Primes p with P(p-1) also prime, where P(.) is the partition function (A000041).at n=22A234569
• Primes prime(k) such that (prime(k), prime(k+1)), (prime(k+2), prime(k+3)), (prime(k+4), prime(k+5)) form a triangle of area 2.at n=29A308649
• Primes which contain the fax number of the beast (667).at n=8A321001
• Primes p such that (q*s-p*r)/2 and |p*s-q*r|/2 are both prime, where p,q,r,s are consecutive primes.at n=39A341802
• Record values in A343717.at n=27A343718
• a(n) = floor(n*(2+sqrt(5))^n), equivalently, floor(n*phi^(3n)), where phi = (1+sqrt(5))/2 is the golden ratio.at n=6A354855
• Prime numbersat n=3702