65089
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form 8k+1 generated recursively. Initial prime is 17. General term is a(n)=Min {p is prime; p divides (2Q)^4 + 1}, where Q is the product of previous terms in the sequence.at n=18A125039
- Number of n X n binary matrices containing no more than eight 1s in any 3 X 3 sub-block.at n=4A140311
- Hilltop maps: number of n X n binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..2 n X n array.at n=3A218312
- Hilltop maps: number of nX4 binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..2 nX4 array.at n=3A218315
- T(n,k)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any king-move neighbor in a random 0..2 nXk array.at n=24A218319
- Primes whose base-6 representation also is the base-3 representation of a prime.at n=39A235469
- Primes p such that q^2 - p^2 + 1 is the square of a composite number where p and q are consecutive primes.at n=44A316934
- Number of vertices among all distinct circles that can be constructed from the 4 vertices and the equally spaced 4*n points placed on the sides of a square when every pair of the 4 + 4*n points are connected by a circle and where the points lie at the ends of the circle's diameter.at n=7A373106
- Prime numbersat n=6502