45751
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Number of ordered rooted trees with n edges such that the rightmost leaf of each subtree is at even level. Equivalently, number of Dyck paths of semilength n with no return descents of odd length.at n=10A033297
- Engel expansion of exp(2).at n=17A068375
- Primes p such that x^5 = 2 has a solution mod p, but x^(5^2) = 2 has no solution mod p.at n=31A070182
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d = 2, 4 or 6) and forming d-pattern = [6, 6, 4]; short d-string notation of pattern = [664].at n=29A078858
- Number of base 29 circular n-digit numbers with adjacent digits differing by 2 or less.at n=6A124957
- Primes of the form p + (p^2 - 1)/8, where p is also prime.at n=27A165352
- Primes p such that A008472(p-1) = A008472(p+1) and is a prime.at n=1A190722
- Primes p such that A008472(p-1) = A008472(p+1), where A008472 = sum of distinct primes dividing n.at n=6A203182
- Numerators of lower primes-only best approximates (POBAs) to Pi; see Comments.at n=17A265808
- Numerators of primes-only best approximates (POBAs) to Pi; see Comments.at n=20A265812
- Centered 25-gonal primes.at n=15A276264
- Primes that can be generated by the concatenation in base 7, in descending order, of two consecutive integers read in base 10.at n=29A287309
- Number of vertices in a regular drawing of a complete bipartite graph where the vertex positions on each part equal the Farey series of order n.at n=7A359690
- Prime numbersat n=4739