perplexus.info :: Numbers : Special Indices II

Special Indices II (Posted on 2023-04-05)

Determine four distinct nonnegative integers A, B, C, and D that satisfy this equation:

          2^A + 3^B + 7^C + 12^D = 2021

*** For an extra challenge, solve this puzzle without using a computer program/excel solver assisted method.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The only possible solution is: (A,B, C, D) = (0,5,2,3)
For an explanation, refer to te analytical solution submitted by Steve Herman in this location.
Charlie has also come up with solutions for other years like 2022 and 2024 in this location.

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

Subject	Author	Date
An analytical solution	Steve Herman	2023-04-05 21:20:31
other "years"	Charlie	2023-04-05 10:13:29
Computer solution without extra challenge	Larry	2023-04-05 10:11:54

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