36821
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Triangle T(n, k) read by rows; given by [1, 1, 1, 1, 1, 1, 1, 1, ...] DELTA [1, 0, 2, 0, 2, 0, 3, 0, 2, 0, 4, 0, 2, 0, ...] (A000005 interspersed with 0's) where DELTA is Deléham's operator defined in A084938.at n=46A085853
- Primes of the form 47*n^2 - 1701*n + 10181.at n=24A128878
- Convolution square of A003114.at n=42A145467
- Numbers n such that n^1+n+1, n^2+n+1, n^3+n+1 and n^4+n+1 are all prime.at n=21A219117
- Primes p such that p^1+p+1, p^2+p+1, p^3+p+1, and p^4+p+1 are all prime.at n=6A236045
- Balanced primes of order one ending in 1.at n=29A303092
- a(n) = Sum_{k=0..n} Stirling2(n,k) * A000041(k) * k^k.at n=4A316145
- a(n) equals the smallest Sophie Germain prime q such that pi_(p,2p+1)(q,10,(1,3)) - pi_(p,2p+1)(q,10,(3,1)) = n, where pi_(p,2p+1)(q,10,(b,c)) equals the number of Sophie Germain primes A005384(i) such A005384(i) <= q and (A005384(i),A005384(i+1)) == (b,c) (mod 10).at n=11A333084
- Primes p such that Sum_{k=PreviousPrime(p)..p} d(k) = Sum_{k=p..NextPrime(p)} d(k), where d(k) is the number of divisors function A000005.at n=30A353552
- Prime numbersat n=3905