41737
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 37.at n=2A031625
- Nearest integer to tan(n)^n.at n=23A054675
- Lesser of two consecutive primes such that n*p + q is a perfect square, p < q.at n=40A064545
- Number of triangular partitions of n of order 3.at n=40A084439
- Balanced primes of order nine.at n=25A096701
- Primes of the form 16n^2 + 121.at n=15A202083
- Least prime divisor of E_{2*n} which does not divide any E_{2*k} with k < n, or 1 if such a primitive prime divisor of E_{2*n} does not exist, where E_m denotes the m-th Euler number given by A122045.at n=9A242194
- Smallest prime factor of A241601(n), or 1 if A241601(n) = 1.at n=21A249909
- a(n) is the smallest prime q congruent to 1 mod n such that for all primes p >= q with p congruent to 1 mod n, the multiplicative subgroup H of (Z/pZ)* of index n contains a nontrivial mod-p arithmetic progression of length 3.at n=45A298566
- The prime factorization of abs(E(2k)) for k >= 2, E(k) the k-th Euler number. Factors sorted by size with the smallest factor negated. a(n) = -1 by convention for n = 1, 2.at n=22A326726
- Prime numbersat n=4365