56003
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Indices of prime Lucas numbers.at n=42A001606
- Numbers k such that floor(phi^k) is prime, where phi is the golden ratio.at n=42A059791
- Positions of the records in A089294. First integer requiring a larger prime in its representation by (signed) sums of squares of distinct primes than all preceding integers.at n=17A089295
- Primes of the form k^2 + k + 55661, with k >= 0.at n=15A116206
- Primes p such that floor(phi^p) is prime.at n=38A168033
- Numerator(Bernoulli(2n)) mod denominator(Bernoulli(2n)).at n=44A169980
- Primes of the form 7k^3+3.at n=3A201184
- Numbers n such that the n-th Lucas number is prime and can be written in the form a^2 + 7*b^2.at n=21A216537
- 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=24A216554
- 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=33A216562
- 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=33A216565
- Numbers n such that the n-th Lucas number is prime, but cannot be written in the form a^2 + b^2.at n=25A216566
- 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=11A216571
- Numbers n such that n-th Lucas number is prime, but cannot be written in the form a^2 + 10*b^2.at n=22A216576
- Primes p such that p - d and p + d are also primes, where d is the largest digit of p.at n=30A245877
- Primes p such that p^9 - 1 has 16 divisors.at n=4A342065
- Prime numbersat n=5684