37963

Properties

Appears in sequences

• Primes of the form 666*n + 1.at n=18A037029
• Primes expressible as the sum of 3 consecutive palindromic primes.at n=13A046493
• Lesser member p of cousin primes (p, p+4) such that (p+1, p+2, p+3) all have the same number of prime divisors (counted with multiplicity).at n=27A094230
• a(n) = Sum_{k=0..floor(n/4)} C(n-2*k,2*k) * 3^k.at n=18A098576
• Numbers k such that 7*R_k - 6 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=13A099419
• a(n) = Sum_{k=0..floor(n/2)} binomial(2n-2k,2k) * 3^(n-k).at n=9A108484
• Number of nX4 0..4 arrays with each element equal to the number its horizontal and vertical neighbors unequal to itself.at n=16A195958
• Larger of pairs of emirps (A006567) whose difference with the (smaller) reversal is a triangular number (A000217).at n=34A217286
• Primes of the form p==3 (mod 4) such that the average of their primitive roots equals p/2.at n=14A267010
• Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 3", based on the 5-celled von Neumann neighborhood.at n=38A269912
• Primes that can be generated by the concatenation in base 8, in ascending order, of two consecutive integers read in base 10.at n=16A287310
• Sum of the largest parts of the partitions of n into 9 parts.at n=39A326473
• Triangle read by rows: T(n,w) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a tube of cross section 2w X 2w where the walk starts at the center of the tube's side.at n=26A337401
• Triangle read by rows: T(n,w) is the number of n-step self avoiding walks on a 3D cubic lattice confined between two infinite horizontal planes a distance 2w apart and an orthogonal plane on the y-z axes, where the walk starts at the middle point between the planes on the y-z plane.at n=26A338127
• Emirps p such that 2*p - reverse(p) is also an emirp.at n=28A358689
• Prime numbersat n=4012