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 Cube Permutations (Posted on 2024-02-25)
The cube, 41063625=(345)^3 can be permuted to produce two other cubes: 56623104=(384)^3 and 66430125=(405)^3. In fact, 41063625 is the smallest cube for which exactly three permutations of its digits also form cubes.

Find the smallest cube for which exactly five permutations of its digits form cubes. (Project Euler, problem 62)

 Submitted by Steven Lord No Rating Solution: (Hide) 127035954683, with the rest of the set being: 352045367981 373559126408 569310543872 589323567104 Method: I made a listing all cubes of length n and then inventoried their digits. E.g., the set above for digits 987654321 inventories as 1111212111. I numerically sorted the inventories to find a stretch of 5 in a row. This happens only twice for the 12-digit cubes.

 Subject Author Date No Subject LucyCoffee 2024-03-11 01:10:28 anonymo Hedda Dunn 2024-02-28 13:51:04 Puzzle Answer K Sengupta 2024-02-25 19:00:32 Computer solution Larry 2024-02-25 12:03:23

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