31663

Properties

Appears in sequences

• Primes that remain prime through 4 iterations of function f(x) = 3x + 10.at n=19A023310
• Primes that remain prime through 5 iterations of function f(x) = 3x + 10.at n=5A023338
• Primes such that the sum of their digits and the sum of the reciprocals of their digits is also prime.at n=14A064779
• Numbers n such that the number formed by the digits of 2n sorted in descending order is equal to the sum of the divisors of n after the digits of each divisor have been sorted in descending order (all zeros dropped).at n=7A083389
• Row sums of triangle T=A109316 where T(n,k) = [T^2](n-1,k) + [T^2](n-2,k-1) and T^2 is the matrix square of A109316.at n=8A109319
• 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, 0, 1), (0, 1, 0), (1, -1, 1), (1, 0, 0), (1, 1, -1)}.at n=8A150221
• Number of nX4 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without consecutive moves in the same direction.at n=2A221506
• T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without consecutive moves in the same direction.at n=17A221507
• Number of 3Xn arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without consecutive moves in the same direction.at n=3A221509
• Lesser of Gridgeman pairs in base 8 in increasing order: pairs of primes palindromic in base 8 which differ only in their middle digits by a difference of 1.at n=8A246871
• Lexicographically largest increasing sequence of primes for which the continued square root map (see A257574) produces Pi.at n=22A257582
• Primes whose sum of reciprocal of digits is a prime.at n=16A266815
• Smallest prime that is the n-th power analog of Keith numbers.at n=23A346067
• Prime numbersat n=3406