What is the value of this infinite continued fraction?

Playdo · Jun 4, 2010

What is the value of the simple continued fraction [1;2,3,5,7,11,13,...,nth prime] as n goes to infinity?

g_edgar · Jun 9, 2010

You can compute it to as many decimals as you like. There is absolutely no reason to think this constant can be written in any simpler way.

The Chaz · Jun 10, 2010

g_edgar said:

You can compute it to as many decimals as you like. There is absolutely no reason to think this constant can be written in any simpler way.

...but if you find a pattern, you'd better run it by my before telling anyone else!

What is the value of this infinite continued fraction?

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