34651
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that 13*2^k - 1 is prime.at n=13A001773
- Let [n] = {1,2,...,n}. Let G_n be the union of all closed line segments joining any two elements of [n] X [n] along a vertical or horizontal line, or along a line with slope +-1. Then a(n) = combined total of the number of (nondegenerate) triangles and rectangles for which all edges are subsets of G_n.at n=13A098921
- Centered heptagonal prime numbers.at n=23A144974
- Centered heptagonal twin prime numbers.at n=10A144975
- List of 4-tuples of twin primes q, p, p+2 and q+2 such that 3*q<p<(p+2)<3*(q+2).at n=34A177335
- Primes of the form 6*k^2 - 5.at n=21A201791
- Primes that are the sum of 51 consecutive primes.at n=28A215992
- Growth series for affine Coxeter group B_8.at n=10A267171
- Numbers k such that psi(phi(k))/k > psi(phi(m))/m for all m < k, where phi is Euler's totient function (A000010) and psi is the Dedekind psi function (A001615).at n=21A293712
- Primes p such that p - 3 divides 3^p - 3.at n=31A302988
- Numbers k such that tau(k) + tau(k+1) + tau(k+2) + tau(k+3) = 16, where tau is the number of divisors function A000005.at n=25A350686
- a(n) = Sum_{k=1..n} k! * k^(n-2) * Stirling2(n,k).at n=5A373873
- Expansion of 1/sqrt((1-x^4)^2 - 4*x^5).at n=36A383572
- Prime numbersat n=3701