44519
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that p-k=p#-k#, where p=nextprime(k), k#=nextprime(square root of k), p#=nextprime(square root of p).at n=6A037210
- Primes of form p^2 - 2, where p is prime.at n=20A049002
- Primes p of form q^k-2 where q is also a prime and k > 1.at n=29A053705
- Safe primes (A005385) (p and (p-1)/2 are primes) such that 12*p+1 is also prime.at n=73A075707
- Positions of A080299 in A014486.at n=33A080298
- Class 7- primes.at n=29A081426
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1010-1111-0010 pattern in any orientation.at n=14A146632
- Primes p such that the differences between p and the closest squares surrounding p are primes.at n=24A163848
- Primes of the form p^q - q, where p and q are primes.at n=22A182474
- Fajtlowicz p-primes.at n=42A185955
- Smaller of Fermi-Dirac twin primes (A229064) which are not the smaller of twin primes (A001359).at n=26A229500
- Safe primes p such that p + 24 is also a safe prime.at n=29A274381
- Pairs of a prime number and square of prime number differs by 2. (Pseudo-twin).at n=42A288305
- a(n) = a(n-1) + a(n-2) + a(n-3) - 2*a(n-4) for n >= 5, where a(0) = 2, a(1) = 4, a(2) = 5, a(3) = 8, a(4) = 11.at n=24A288523
- Expansion of Product_{k>=1} (1 - k*x^k)^(k^2).at n=13A294588
- Number of nX4 0..1 arrays with each 1 adjacent to 2, 3 or 5 king-move neighboring 1s.at n=5A296959
- Number of nX6 0..1 arrays with each 1 adjacent to 2, 3 or 5 king-move neighboring 1s.at n=3A296961
- T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 2, 3 or 5 king-move neighboring 1s.at n=39A296963
- T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 2, 3 or 5 king-move neighboring 1s.at n=41A296963
- Balanced primes of order one ending in 9.at n=17A303095