57097

Properties

Appears in sequences

• Primes prime(k) such that prime(k)*k falls between twin primes.at n=28A080174
• Smallest balanced prime of order n.at n=36A082080
• Balanced prime number records (A082080).at n=8A096266
• G.f.: 1/(1-x) = (1-x*y) * Sum_{k>=0} Sum_{n>=k} T(n,k)*x^n*y^k/(1+x)^(2^n-2^k).at n=40A172400
• Unmatched value maps: number of nX6 binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 nX6 array.at n=2A219408
• T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 nXk array.at n=30A219410
• Unmatched value maps: number of 3 X n binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 3 X n array.at n=5A219412
• Primes whose base-6 representation also is the base-3 representation of a prime.at n=35A235469
• Partition the sequence A073682 into groups so that the sum of each group is prime, then a(n) is the sum of terms in n-th group.at n=3A253664
• Number of nX4 0..1 arrays with every element unequal to 1, 2, 3 or 5 king-move adjacent elements, with upper left element zero.at n=7A304015
• a(n) = Sum_{1 <= x_1, x_2, x_3 <= n} ( n/gcd(x_1, x_2, x_3, n) )^2.at n=8A372962
• a(n) = number of primes < n^4.at n=29A380331
• Prime numbersat n=5790