17939
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1.at n=35A002148
- Safe primes which are also Sophie Germain primes.at n=39A059455
- Primes with all odd digits such that the next three primes also contain all odd digits.at n=14A068831
- Primes with all odd digits such that the next four primes also contain all odd digits.at n=5A068832
- a(n) = A082613(n) divided by the n-th power that divides it.at n=28A082614
- Primes p such that p's set of distinct digits is {1,3,7,9}.at n=11A108386
- Primes p = prime(i) of level (1,3), i.e., such that A118534(i) = prime(i-3).at n=28A118467
- Values of A134204(n) for n in A133242.at n=31A133243
- Primes of the form 2*3*5*7*k+89, k >= 0.at n=38A141866
- Primes congruent to 3 mod 59.at n=35A142730
- Primes congruent to 5 mod 61.at n=32A142803
- Primes of the form : 2*p+1=p1(prime), 2*p1+3=p2(prime), 2*p2+5=p3(prime).at n=32A143912
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 1, -1), (0, 0, -1), (0, 1, 1), (1, -1, 1)}.at n=9A148851
- Emirps using each of the digits 1, 3, 7, 9 at least once, but no others.at n=5A158917
- Primes of the form k*(k+2)/3 - 2, k > 0.at n=31A162307
- Primes of the form n^2 - 17.at n=39A201314
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 4,4,2,0,2,0,0 for x=0,1,2,3,4,5,6.at n=5A202760
- Primes p such that 16*p^2 + 10*p + 1 divides 2^p - 1.at n=9A231916
- Numbers whose binary representation traces a nonselfcrossing circuit in honeycomb lattice when its bits (from the least to the second most significant bit) are interpreted as directions to proceed at each vertex. (The most significant 1-bit is ignored).at n=54A255571
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 209", based on the 5-celled von Neumann neighborhood.at n=29A270893