38729
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- a(n) = M(2^n), where M(n) is Mertens's function, A002321.at n=38A084236
- a(n)=prime(x) is the smallest prime such that 1+(2^(12n+9))*prime(x) is divisible by prime(x+1).at n=29A087779
- a(n)=prime(x) is the smallest prime such that 1+(2^(12n+9))*prime(x) is divisible by prime(x+1).at n=41A087779
- a(n) = prime(2^n) - n^2.at n=11A141102
- Primes p such that 3*p+2, 5*p+4 and 7*p+6 are also prime.at n=37A173876
- Primes of the form 5n^2 + 9.at n=14A201487
- Primes formed by inserting a semiprime between the semiprime's ordered factors.at n=11A229480
- Squarefree numbers k for which Q(k) - 6*k/Pi^2 sets a new record minimum, where Q(x) is the number of squarefree numbers up to x.at n=35A339865
- Primes of the form prime(i)*prime(i+1)+prime(i+2)*prime(i+3)+...+prime(k-1)*prime(k).at n=16A340465
- Number of vertices among all distinct circles that can be constructed from an n x n square grid of points using only a compass.at n=3A359932
- Prime numbersat n=4082