perplexus.info :: Numbers : Cube Difference Deduction II

Cube Difference Deduction II (Posted on 2022-10-22)

Consider these nine positive integers:
987654321, 98765432, 9876543, 987654, 98765, 9876, 987, 98 and 9

Determine how many of these are expressible as the difference of cubes of two integers.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

• 98 = 5³ - 3³
• 98 = (-3)³ - (-5)³
• 9= 2³ - (-1)³
• 9 = ( 1)³ - (-2)³
For an explanation, refer to the computer assisted solution submitted by Steven Lord in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): soln	Steven Lord	2022-10-23 01:49:04
re: soln	K Sengupta	2022-10-22 23:18:19
soln	Steven Lord	2022-10-22 23:00:35

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info