perplexus.info :: Just Math : Pretty Potent Power Pair(s)

Pretty Potent Power Pair(s) (Posted on 2008-10-22)

Determine all possible pair(s) (2^A, 2^B), where each of A and B is a nonnegative integer, such that 2^B is obtained by deleting the first digit from the left in the base 10 representation of 2^A. None of the base 10 representations of 2^A and 2^B can contain leading zeroes.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(2^A, 2^B) = (32, 2), (64, 4).

For an explanation, refer to the solution submitted by Paul in this location.

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

Subject	Author	Date
solution	Paul	2008-10-22 18:59:53
computer-assisted proof	Charlie	2008-10-22 11:44:45

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