44507

Properties

Appears in sequences

• Indices of prime Lucas numbers.at n=40A001606
• Primes that remain prime through 4 iterations of function f(x) = 2x + 3.at n=16A023303
• Primes that remain prime through 5 iterations of function f(x) = 2x + 3.at n=6A023331
• Numbers k such that floor(phi^k) is prime, where phi is the golden ratio.at n=40A059791
• Expansion of (17-25*x-23*x^2+133*x^3)/(1-x)^4.at n=15A118587
• Primes p such that floor(phi^p) is prime.at n=36A168033
• 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=20A216538
• 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=22A216554
• 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=31A216562
• 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=31A216565
• Numbers n such that the n-th Lucas number is prime, but cannot be written in the form a^2 + b^2.at n=24A216566
• 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=9A216571
• Numbers n such that n-th Lucas number is prime, but cannot be written in the form a^2 + 10*b^2.at n=21A216576
• G.f.: 1/(1 - x*(1-x^3)/(1 - x^2*(1-x^4)/(1 - x^3*(1-x^5)/(1 - x^4*(1-x^6)/(1 - ...))))), a continued fraction.at n=29A227360
• Primes p with P(p+1) also prime, where P(.) is the partition function (A000041).at n=18A234900
• Primes p such that q=p^2+p+1 is prime and (q^2+q+1)/3 is prime.at n=47A322748
• Total sum of the left-to-right minima in all compositions of n.at n=15A336512
• Primes having only {0, 4, 5, 7} as digits.at n=28A386070
• Prime numbersat n=4626