Problem 52985. Easy Sequences 47: Boxes with Prime Edges
This is related to problem "Easy Sequences 41: Boxes with Integer Edges". However, here we will be investigating a smaller-sized set, namely, the set of rectangular-faced boxes with edges representable by (not necessarily distinct) prime numbers.
Given a volume limit, v, we are asked to find the average volume of all boxes with prime edges, whose volumes are less than or equal to v.
For example for cubic units, all possible prime-edged boxes are given below:
.
Their average volume is: cubic units.
Please present your answer in 4 decimal places.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers5
Suggested Problems
-
39891 Solvers
-
828 Solvers
-
Golomb's self-describing sequence (based on Euler 341)
150 Solvers
-
1814 Solvers
-
Construct the Seidel-Entringer-Arnold triangle
21 Solvers
More from this Author116
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!