39419
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes that remain prime through 3 iterations of function f(x) = 3x + 2.at n=30A023277
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 3.at n=38A050051
- Numbers n such that p(n) + p(n+1) is a square and n is prime.at n=9A064398
- Numbers n such that n, 2n+1, 3n+2, 4n+3 are primes.at n=16A067257
- Primes p such that 2p+1, 4p+3, 6p+5 are all primes.at n=28A107020
- Numbers m such that greatest prime divisor of (m-th prime + 1) is 3.at n=32A121820
- Let a(1)=1; for n>1 a(n)=nextprime(a(n-1)+(a(n-1)+1)/4).at n=39A175953
- Number of (n+1)X2 0..3 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents.at n=2A205033
- Number of (n+1)X4 0..3 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents.at n=0A205035
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents.at n=3A205037
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents.at n=5A205037
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with 2X2 subblock determinants differing from horizontal neighbors and permanents differing from vertical neighbors.at n=5A205281
- Number of 4X(n+1) 0..3 arrays with 2X2 subblock determinants differing from horizontal neighbors and permanents differing from vertical neighbors.at n=0A205283
- Emirps whose internal digits are also an emirp.at n=34A225235
- Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7.at n=6A252568
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7.at n=34A252574
- Number of (7+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 5 6 or 7.at n=1A252581
- a(n) is the first prime p such that, with q the next prime, p^2+q is 10^n times a prime.at n=3A352803
- Primes p such that, if q is the next prime, p^2 + q is a prime times a power of 10.at n=33A352852
- Prime numbersat n=4150