18413
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 57.at n=34A020396
- Primes that remain prime through 3 iterations of function f(x) = 2x + 7.at n=17A023275
- Smallest prime with "n^2" as central digit(s).at n=29A038370
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 21.at n=21A051962
- a(1) = 2; a(n) is the smallest prime > a(n-1) such that a(n) + a(n-1) is a square.at n=18A062064
- Number of legal Go positions on a 1 X n board (for which 3^n is a trivial upper bound).at n=9A102620
- Primes congruent to 22 mod 53.at n=37A142552
- Primes congruent to 5 mod 59.at n=39A142732
- Primes congruent to 52 mod 61.at n=36A142850
- Number of partitions of n such that (least part) <= (multiplicity of greatest part).at n=37A240179
- Primes having primitive roots 2, 3, 5, 7, and 11.at n=35A241046
- Primes having primitive roots 2, 3, 5, 7, 11, and 13.at n=16A241047
- Number of length n arrays of permutations of 0..n-1 with each element moved by -2 to 2 places and with no two consecutive increases.at n=21A263637
- Number of integer partitions of n whose product is divisible by the sum of primes of their parts.at n=49A330954
- Emirps p such that, if q is the next emirp after p, p*q mod (p+q) and floor(p*q/(p+q)) are both emirps.at n=2A350884
- Primes k such that the concatenation of (b, k, b) and (k, b, k) are both prime, where b is the binary representation of k.at n=6A389801
- Prime numbersat n=2109