34369
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Series for 2nd parallel moment of square lattice bond percolation near a wall (eventually goes negative).at n=10A056598
- a(n) = floor(X/Y) where X = concatenation in decreasing order of (2n)-th even number to (n+1)-th even number and Y = that of first n even numbers in increasing order.at n=20A067092
- a(n) is the smallest number k such that GCD of n values of prime(j)-1 for successive j values starting with k is greater than 2.at n=10A080373
- Convolution of generalized Catalan sequence A064063 (named C(3;n)).at n=6A116867
- Primes p=u^2+v^2 such that p+u or p+v is the next prime after p.at n=34A213996
- a(n) is the smallest k such that prime(k+i) = 1 (mod 6) for i = 0, 1,...,n-1.at n=10A247816
- Primes of the form n^2 + phi(n).at n=28A264771
- Index of the first prime which starts a run of n consecutive primes all congruent to each other mod 3 (or mod 6).at n=10A276414
- Primes p such that A001175(p) = (p-1)/8.at n=12A308793
- Primes in A301916 but not in A045318.at n=32A320481
- Prime numbers whose binary expansion involves powers of 2 with only composite (or zero) exponents.at n=34A342481
- Number of subsets of Z_n such that every ordered pair of distinct elements has a different difference.at n=32A382399
- a(n) = Sum_{k=0..n} binomial(4*n+3*k+1,n-k).at n=5A390415
- a(n) is the least k such that the residues mod 3 of the primes prime(k), prime(k+1),... include a string of n 1's followed by 2.at n=10A391807
- Prime numbersat n=3674