174763
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Wagstaff primes: primes of form (2^p + 1)/3.at n=6A000979
- 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=19A001045
- Table T(n,k) in which n-th row lists prime factors of 2^n + 1 (n >= 0), with repetition.at n=41A001269
- Smallest primitive factor of 2^(2n+1) + 1.at n=9A002185
- Largest prime factor of 2^n + 1.at n=19A002587
- Largest primitive factor of 2^(2n+1) + 1.at n=9A002589
- Divisors of 2^38 - 1.at n=2A003544
- a(2*n) = 2*a(2*n-1), a(2*n+1) = 2*a(2*n)-1.at n=19A005578
- a(n) = (2^(2*n + 1) + 1)/3.at n=9A007583
- Numbers n such that game of n X n Button Madness need have no solution; this lists only the primitive elements of the set.at n=19A007802
- Cyclotomic polynomials at x=2.at n=38A019320
- Cyclotomic polynomials at x=-2.at n=19A020501
- a(n) = C(n,0) + C(n,3) + ... + C(n,3[n/3]).at n=19A024493
- a(n) = C(n,1) + C(n,4) + ... + C(n, 3*floor(n/3) + 1).at n=18A024494
- Primes in the Jacobsthal sequence (A001045).at n=7A049883
- a(n) = (2^n - 1)/product(2^p - 1) where the product is over all distinct primes p that divide n.at n=37A055515
- Prime factors of numbers in A006521 (numbers k that divide 2^k + 1).at n=16A057719
- Table T(n,k) in which n-th row lists prime factors of 2^n + 1 (n >= 0), without repetition.at n=36A060444
- Zsigmondy numbers for a = 2, b = 1: Zs(n, 2, 1) is the greatest divisor of 2^n - 1 (A000225) that is coprime to 2^m - 1 for all positive integers m < n.at n=37A064078
- Quotient of A000225 and A064084.at n=37A064085