5931641
domain: N
Properties
Primality
- Prime
- yes
Appears in sequences
- Powers of sqrt(8) rounded down.at n=15A017928
- Powers of fourth root of 8 rounded down.at n=30A018066
- a(0)=1, a(n+1) = 2*a(n) + b(n+2), where b(n)=A004539(n) is the n-th bit in the binary expansion of sqrt(2).at n=22A084188
- Reduced numerators in Wolfram's iteration for sqrt(2).at n=23A095805
- a(0) = a(1) = 0; for n >= 2, a(n) = floor(sqrt(2^(n-2)-1)).at n=47A116601
- a(n) = floor(n^(n -1/2)).at n=7A132182
- Integers n such that n^2 + k is a Mersenne number 2^m - 1 for some k such that n < k < 2 * n and m odd.at n=10A144934
- Integer part of square root of n^15 = A010803(n).at n=8A155018
- Values y for record minima of the positive distance d between the fifteenth power of a positive integer x and the square of an integer y such that d = x^15 - y^2 (x <> k^2 and y <> k^15).at n=5A179814
- Integer part of square root of A001017: a(n) = floor(n^(9/2)).at n=32A238170
- Prime numbersat n=408493