81677
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes of the form k^2 + (k+1)^2 + (k+2)^2 = 3*(k+1)^2+2.at n=20A027864
- Number of connected 3-colorable (i.e., chromatic number <= 3) simple graphs on n nodes.at n=8A076322
- Prime means of 12 horizontal, vertical and main diagonal sums associated with primes in A094458.at n=30A094459
- Logarithmic derivative of A112934 such that a(n)=(1/2)*A112934(n+1) for n>0, where A112934 equals the INVERT transform of double factorials A001147.at n=6A112935
- a(n) = smallest prime q > a(n-1) such that 2*prime(n)*q^prime(n)+1 is also prime.at n=24A225747
- Primes of the form 3n^2 + 2.at n=21A257163
- Prime powers that are equal to the sum of the first k prime powers (not including 1) for some k.at n=29A364797
- Prime numbersat n=7989