53617
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Primes p from A031924 such that A052180(primepi(p)) = 29.at n=21A052236
- Second term of balanced prime quartets: p(m)-p(m-1) = p(m+1)-p(m) = p(m+2)-p(m+1).at n=19A054801
- 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=31A078858
- Primes p such that the differences between the 5 consecutive primes starting with p are (6,6,4,6).at n=7A078967
- Balanced primes (A090403) of index 3.at n=28A096707
- Numbers k such that k and k+6 are both balanced primes.at n=19A173892
- a(n) = a(n-1) + a(n-2) + a(n-3), with a(0) = 1, a(1) = a(2) = 9.at n=16A214831
- Nodes of tree generated as follows: (1,2) is an edge, and if (x,y) is an edge, then (y, y^2 - x^2) and (y, y^2 + x^2) are edges.at n=24A228940
- Number of compositions of n in which the maximal multiplicity of parts equals 2.at n=20A243119
- Prime terms in A214831.at n=4A244931
- Primes of form n^2 + 256.at n=39A256776
- Primes p such that p and prime(p) end with the same three digits.at n=10A271045
- Numbers k such that 453*2^k+1 is prime.at n=35A323196
- Prime numbersat n=5464