34351
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Prime mean of 8 horizontal, vertical and main diagonal sums associated with primes in A094454.at n=34A094455
- Number of A095313-primes in range [2^n,2^(n+1)].at n=18A095333
- Prime numbers p such that p +- ((p-1)/5) are primes.at n=26A137714
- Primes p such that none of p-2, p-1, p+1, and p+2 is squarefree.at n=15A153215
- Row sums of triangle A175009.at n=30A175006
- Numbers n such that reversal(n^n) is prime.at n=2A178329
- Primes of the form 3n^2 + 4.at n=22A201477
- Primes or negative values of primes of the form 59*n^2 - 1873*n + 8941 for n>=0.at n=41A217604
- Prime(prime(n^3)).at n=7A217625
- Primes of the form sigma(k) + tau(k) + phi(k), where sigma(k) = A000203(k), tau(k) = A000005(k) and phi(k) = A000010(k).at n=11A229266
- Numbers n such that (45^n - 1)/44 is prime.at n=5A242797
- Positions of records in A166133.at n=40A256404
- Numbers n such that A166133(n) sets a new record and also satisfies A166133(n)=A166133(n-1)^2-1.at n=25A256422
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 377", based on the 5-celled von Neumann neighborhood.at n=36A271463
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 609", based on the 5-celled von Neumann neighborhood.at n=32A273210
- Expansion of Sum_{i>=2} prime(i)*x^prime(i)/(1 - x^prime(i)) / Product_{j>=1} (1 - x^j).at n=27A281905
- Lexicographically earliest sequence of distinct positive integers such that a(n), a(n+1) and the product a(n)*a(n+1) have in common the substring n.at n=34A333933
- Primes p such that p, x+y, x-y, p-x*y and p+x*y are prime, where y = p mod 5 and x = (p-y)/5.at n=30A342771
- Number of distinct circles that can be constructed from an n X n square grid of points when each pair of points is connected by a circle and the points lie at the ends of a diameter of the circle.at n=18A360350
- a(n) is the (2^n)-th prime-indexed prime.at n=9A374150