30509
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Hexagonal cata-condensed helicenes with n cells (non-planar cata-fused benzenoid hydrocarbons).at n=11A038143
- Convolution of Fibonacci F(n+1), n >= 0, with F(n+3), n >= 0.at n=15A067331
- Primes of the form x^2 + (x+3)^2.at n=27A076727
- Largest prime p such that the sum of n consecutive primes plus p is equal to (n+1)^3.at n=30A100572
- Prime numbers obtained by inserting a 0 between each pair of adjacent digits of a prime number > 10.at n=29A119680
- Similar to A057835 except using K * X / log(X), K=1.022.at n=6A128910
- Largest terms a(n) forming a self-convolution of an integer sequence (A132834) such that: a(n) <= 3*a(n-1) for n>0 with a(0)=1.at n=10A132833
- a(n) = a(n-1) + a(n-2) + F(n), with a(0) = 0, a(1) = 1, a(2) = a(1) + a(0), a(3) = a(2) + a(1), a(4) = a(3) + a(2) + 2.at n=18A166106
- Smallest k<3*2^n such that 3*2^n+k is the smallest of four consecutive primes in arithmetic progression or 0 if no solution.at n=31A230852
- Primes whose decimal expansion is of the form d_1+0+d_2+0+d_3+0+...+0+d_k where d_i are digits with 1 <= d_i <= 9, k > 1 and + stands for concatenation.at n=39A309488
- Primorial base emirps: prime numbers whose primorial base reversal is a different prime.at n=28A333425
- Primes such that the next 10 prime gaps are all distinct.at n=4A372550
- Primes having only {0, 3, 5, 9} as digits.at n=34A386064
- Prime numbersat n=3294