Re: Scientific American - Mind Games

amzoti <amzoti@xxxxxxxxx> writes:
Hi All,

there were a couple of interesting puzzles this month.

1. Take the variables a, b, c, ..., i (first 8 variables)

The sum of any three consecutive variables is 16.

With b = 9 and f = 2, what are the values of the remaining variables?

Unbelievably trivial, not interesting at all.

2. The smallest number with four factors is 6: 1, 2, 3, 6

The smallest number with six factors is 12: 1, 2, 3, 4, 6, 12

What is the smallest number with 100 factors?

Well, it needs 2 forth poers, and 2 other factors.
45360=2^4.3^4.5.7 will do.

Proving that it's the smallest requires more work, as there
might be (but aren't) numbers with sigma_0 of 108, 112, 120,
etc.

They should be easy!

First one was too easy.

Phil
--
Dear aunt, let's set so double the killer delete select all.
-- Microsoft voice recognition live demonstration
.

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