perplexus.info :: Just Math : Digital power

Digital power (Posted on 2008-11-15)

Find all numbers N = a₁a₂a₃...a_n greater than 1, with no leading zeros, no zeros, which fits this equation:

N = a₁^a₁ + a₂^a₂ + a₃^a₃ + ... + a_n^a_n

Clarifying, N = 23 doesn´t work because 2² + 3³ is equal to 31, not 23.

Submitted by pcbouhid

Rating: 5.0000 (1 votes)

Solution: (Hide)

The unique number I found is 3435. I don´t know if there is another.

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

Subject	Author	Date
Answer	K Sengupta	2008-12-29 16:32:34
re(3):2nd Solution : Zero to the zero power	Ady TZIDON	2008-11-16 03:46:24
re(2):2nd Solution : Zero to the zero power	brianjn	2008-11-16 01:04:24
re:2nd Solution : Zero to the zero power	Ady TZIDON	2008-11-15 23:37:51
Second Computer Solution	brianjn	2008-11-15 20:48:36
computer solution	Charlie	2008-11-15 16:44:23

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