715827883
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Wagstaff primes: primes of form (2^p + 1)/3.at n=8A000979
- Jacobsthal sequence (or Jacobsthal numbers): a(n) = a(n-1) + 2*a(n-2), with a(0) = 0, a(1) = 1; also a(n) = nearest integer to 2^n/3.at n=31A001045
- Smallest primitive factor of 2^(2n+1) + 1.at n=15A002185
- Largest prime factor of 2^n + 1.at n=31A002587
- Largest primitive factor of 2^(2n+1) + 1.at n=15A002589
- a(2*n) = 2*a(2*n-1), a(2*n+1) = 2*a(2*n)-1.at n=31A005578
- a(n) = (2^(2*n + 1) + 1)/3.at n=15A007583
- Cyclotomic polynomials at x=-2.at n=31A020501
- a(n) = C(n,0) + C(n,3) + ... + C(n,3[n/3]).at n=31A024493
- a(n) = C(n,1) + C(n,4) + ... + C(n, 3*floor(n/3) + 1).at n=30A024494
- Primes in the Jacobsthal sequence (A001045).at n=9A049883
- Smallest prime having alternating bit sum (A065359) equal to -n, or 0 if no such prime exists.at n=14A065085
- a(n) = (lcm_{k=0..n} (2^k + 1))/(lcm_{k=0..n-1} (2^k + 1)).at n=30A066845
- Let u(1)=u(2)=u(3)=2, u(n)=(1+u(n-1)u(n-2))/u(n-3); then a(n) is the numerator of u(n).at n=32A076737
- Expansion of 1/((1-x)*(1+2*x)).at n=30A077925
- Size of "uniform" Hamming covers of distance 1, that is, Hamming covers in which all vectors of equal weight are treated the same, included or excluded from the cover together.at n=30A081374
- A Jacobsthal sequence trisection.at n=10A082311
- Jacobsthal reverse-pair sequence.at n=32A084183
- Generalized mod 3 multiplicative Jacobsthal sequence.at n=31A087462
- Generalized multiplicative Jacobsthal sequence.at n=31A087463