147881

Properties

Appears in sequences

• n-th occurrence of gap of n between primes occurs at prime a(n), n even, n >= 2.at n=18A054587
• 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=9A150221
• G.f. satisfies: A(x) = 1 + Sum_{n>=1} x^n*A_{n-1}(x)^n where A_{n}(x) = A_{n-1}(x) + x^n*A_{n-1}(x)^n for n>0 with A_0(x)=1.at n=15A194563
• a(n) = prime(k) with k = n^2 + prime(n)^2.at n=29A243892
• Prime numbersat n=13669