52561
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Rounded volume of a regular dodecahedron with edge length n.at n=19A071401
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (-1, 1, 1), (1, -1, -1), (1, 1, 1)}.at n=9A149531
- Centered 20-gonal (or icosagonal) primes.at n=17A264845
- Primes of the form abs(n^5 - 99n^4 + 3588n^3 - 56822n^2 + 348272n - 286397) in order of increasing nonnegative n.at n=27A272444
- Number of self-avoiding planar walks of length n+1 starting at (0,0), ending at (n,0), remaining in the first quadrant and using steps (0,1), (1,0), (1,1), (-1,1), and (1,-1) with the restriction that (0,1) is never used below the diagonal and (1,0) is never used above the diagonal.at n=13A284778
- Number of integer partitions of n such that no distinct part can be written as a (strictly) positive linear combination of the other distinct parts.at n=44A365072
- Prime numbersat n=5367