32993

Properties

Appears in sequences

• a(n) = 2^n + n^2.at n=15A001580
• s(n+3)/2, where s is A024945.at n=17A024946
• Primes in the sequence n^2 + 2^n (A001580).at n=3A061119
• Leyland numbers: 3, together with numbers expressible as n^k + k^n nontrivially, i.e., n,k > 1 (to avoid n = (n-1)^1 + 1^(n-1)).at n=27A076980
• Leyland primes: 3, together with primes of form x^y + y^x, for x > y > 1.at n=3A094133
• Smallest factor of 2^(2n+1)+(2n+1)^2.at n=7A109216
• Numbers k such that (18^k - 5^k)/13 is prime.at n=10A128353
• 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, 1), (-1, 0, 1), (1, -1, 1), (1, 1, -1), (1, 1, 1)}.at n=8A149751
• Least prime of the form x^y+y^x with x = A162488(n) > y > 1.at n=2A162490
• a(n) = n^d+d^n where d = A013632(n) is the distance to the next prime.at n=14A171240
• Numbers of the form x^y + y^x, 1 < x < y.at n=22A173054
• Numbers k such that (9^k + 4^k)/13 is prime.at n=16A211409
• Primes of the form q(p) + 1, where p is a prime and q(.) is the strict partition function (A000009).at n=7A234366
• Ninth prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=20A238681
• Primes which are the average of the two adjacent primes and also of the two adjacent squarefree numbers.at n=26A245589
• Numbers that can be written as s^x + t^y, with 1 < s < t and {s,t} = {x,y}; that is, are of the form s^s + t^t or s^t + t^s.at n=28A385232
• Prime numbersat n=3537