89849
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Indices of prime Lucas numbers.at n=44A001606
- Numbers k such that floor(phi^k) is prime, where phi is the golden ratio.at n=44A059791
- Arithmetic derivative of n-th partition number.at n=46A096371
- a(n) = numerator of sum{k=1 to n} 1/A127515(k).at n=13A127516
- Primes p such that floor(phi^p) is prime.at n=40A168033
- Odd primes of the form (1+n)*(2+2*n)+n*(3+2*n) = 4*n^2+7*n+2.at n=37A171749
- 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=21A216538
- 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=25A216554
- 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=35A216562
- 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=35A216565
- Numbers n such that the n-th Lucas number is prime, but cannot be written in the form a^2 + b^2.at n=27A216566
- Numbers n such that the n-th Lucas number is prime, but cannot be written in the form a^2 + 6*b^2.at n=32A216572
- 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=20A216575
- Primes having only {4, 8, 9} as digits.at n=18A385796
- Prime numbersat n=8700