65551
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Expansion of 1/((1-5*x)*(1-6*x)*(1-12*x)).at n=4A019869
- a(n) = 2^n + n - 1.at n=16A052944
- Primes arising in A064205.at n=6A055813
- Consider primes p and q such that p = 2^k + 15 and q = 2^(k+1) + 15 for some k; sequence gives values of q.at n=7A108271
- Prime numbers of the form 2^(2^k) + 2^k - 1.at n=4A119550
- Define F(n) = 2^(2^n)+1 = n-th Fermat number, M(n) = 2^n-1 = the n-th Mersenne number. Then a(n) = F(n)+M(n)-1 = 2^(2^n) + 2^n - 1.at n=4A119563
- Row sums of triangle A132735.at n=16A132736
- Primes of the form 2^k + 15.at n=11A144487
- Primes of the form 2^(2^k)+15.at n=4A160027
- a(n) = smallest number that leads to a new cycle under the base-4 Kaprekar map of A165012.at n=14A165029
- Primes containing the string 555.at n=12A167281
- Semi-sums (average) of two (not necessarily distinct) Mersenne primes (A000668).at n=17A169628
- Semi-sums (average) of any two distinct Mersenne primes (A000668).at n=12A171253
- Primes which are the average of any two (not necessarily distinct) Mersenne primes (A000668).at n=15A171254
- Primes which are the average of two distinct Mersenne primes (A000668).at n=10A171255
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 8, n >= 2.at n=38A214038
- Primes of the form 4^k + 4^m - 1, where k and m are positive integers.at n=18A234310
- Primes of the form 4^k + 15.at n=6A237418
- Primes of the form m = 2^i + 2^j - 1, where i > j >= 0.at n=40A239712
- Primes of the form m = 4^i + 4^j - 1, where i > j >= 0.at n=14A239714