31321
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 3x + 8.at n=26A023279
- Primes of the form k^2 - 8.at n=39A028886
- Coefficients of a polynomial used in calculation of A055913.at n=16A055916
- a(n) = 2*prime(n)^2 - prime(n+1)^2.at n=40A064051
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern = [6, 6, 4]; short d-string notation of pattern = [664].at n=22A078858
- Primes of the form (prime(k-1)+1)*(prime(k+1)-1) + 1, k>1.at n=12A087106
- Numbers k such that k, k+1, k+2 and k+3 are 1,2,3,4-almost primes.at n=28A113000
- Centered triangular numbers that are prime.at n=33A125602
- a(n) = coefficient of x^n in n!*Product_{k=0..n} [Sum_{j=0..k} x^j/j! ].at n=6A129481
- Primes p0 such that p0+p1+p2-+2 are primes; p0,p1,p2 are three consecutive primes.at n=32A158351
- Primes of the form 9n^2 - 8.at n=12A201961
- Primes of form n^2 + 4096.at n=24A256836
- Hyperartiads.at n=31A270798
- Primes p such that p+12, (p+1)/2, and (p+13)/2 are also prime.at n=17A283869
- Primes p such that the sum of the cubes of digits of p equals the sum of digits of p^3.at n=14A291052
- a(1)=1, a(2)=1; for n > 2, a(n) is the largest noncomposite proper divisor of the concatenation of terms a(1) through a(n-1).at n=6A322098
- Sum of the largest parts of the partitions of n into 9 parts.at n=38A326473
- Triangle read by rows: T(n,k) is the number of weakly connected acyclic digraphs on n unlabeled nodes with k arcs, n >= 1, k = 0..(n-1)*n/2.at n=55A350449
- Truncated hex numbers: a(n) = 24*n^2 + 6*n + 1.at n=36A381424
- Prime numbersat n=3376