# Tag Archives: ratio

## The curious powers of 1 + sqrt 2: a clever solution

Recall that we are trying to answer the question: What’s the 99th digit to the right of the decimal point in the decimal expansion of ? In my previous post, we computed for some small and conjectured that the answer … Continue reading

## The curious powers of 1 + sqrt 2: conjecture

In my previous post I related the following puzzle from Colin Wright: What’s the 99th digit to the right of the decimal point in the decimal expansion of ? Let’s play around with this a bit and see if we … Continue reading

Posted in number theory, puzzles | Tagged , , , , , | 1 Comment

## The curious powers of 1 + sqrt 2

Recently on mathstodon.xyz, Colin Wright posted the following puzzle: What’s the 99th digit to the right of the decimal point in the decimal expansion of ? Of course, it’s simple enough to use a computer to find the answer; any … Continue reading

Posted in challenges, number theory, puzzles | Tagged , , , | 11 Comments