30559
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of acyclic quaternary ammonium ions with n carbon atoms.at n=12A000633
- a(n) = prime(100*n).at n=32A031921
- Duplicate of A000633.at n=17A036669
- Numbers whose base-4 representation contains exactly four 1's and four 3's.at n=19A045133
- First minimum value > 0 of the form x^3-k^2 when k > n^3.at n=30A070959
- Let p = prime(sigma(n)) and q = prime(phi(n)), then p is in the sequence if p-q = 6.at n=36A103176
- Numbers n such that p(9n) is prime, where p(n) is the number of partitions of n.at n=31A114169
- Primes of the form abs(2^n - prime(n)^2).at n=5A195137
- Prime numbers having no additional odd primes in their Collatz (3x+1) trajectory.at n=9A221476
- Triangle read by rows: T(n,k) is the coefficient A_k in the transformation of 1 + x + x^2 + ... + x^n to the polynomial A_k*(x-3k)^k for 0 <= k <= n.at n=24A248978
- Primes p such that p-1 is squarefree and all prime divisors of p-1 other than 11 are also in the sequence.at n=31A267504
- Numbers with more than one Collatz tripling step whose odd Collatz trajectory does not contain primes.at n=32A319936
- Primorial base emirps: prime numbers whose primorial base reversal is a different prime.at n=30A333425
- Let N(p,i) denote the result of applying "nextprime" i times to p; a(n) = smallest prime p such that N(p,3) - p = 2*n, or -1 if no such prime exists.at n=35A339943
- a(n) is the smallest prime q such that Sum_{primes p <= q} log(p)/p >= n.at n=8A347311
- Primes having only {0, 3, 5, 9} as digits.at n=37A386064
- Prime numbersat n=3300