18691
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of partitions of floor(5n/2) into n nonnegative integers each no more than 5.at n=41A001975
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A014306.at n=36A024477
- Number of partitions of n into parts not of the form 17k, 17k+2 or 17k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 7 are greater than 1.at n=43A035963
- Primes of form 210*p + 1 where p is a prime.at n=15A051648
- Primes p such that the sum of the digits of p is not prime, but the sum of the cubes of the digits of p is prime.at n=29A091365
- a(n) is the largest prime < 5*a(n-1) for n > 1, with a(1) = 2.at n=6A126033
- a(n) = 15*n^2 + 9*n + 1.at n=35A134153
- Primes congruent to 47 mod 59.at n=38A142774
- Primes congruent to 25 mod 61.at n=39A142823
- Emirps which remain primes when rotated by 180 degrees on a digital clock display.at n=15A159064
- Prime p1 of consecutive primes p1, p2, where p2-p1=10, and p1, p2 are in different centuries.at n=20A160500
- Number of binary strings of length n with no substrings equal to 0000, 0011, or 1001.at n=18A164428
- Primes p such that p*floor(p/2)-2 and p*floor(p/2)+2 are also prime numbers.at n=24A164621
- Number of (w,x,y,z) with all terms in {1,...,n} and w*x>y*z+1.at n=14A212054
- Primes whose binary reversal is a square.at n=25A226019
- Number of n-length ternary words avoiding runs of zeros of length 1 (mod 3).at n=11A255630
- Number of rooted trees on n nodes with strictly thinning limbs.at n=21A298304
- Partial sums of A299289.at n=20A299290
- Discriminants of imaginary quadratic fields with class number 33 (negated).at n=30A351671
- Prime numbersat n=2134