I tried some spigot formulas to calculate custom hexadecimal PI digits.
But any formula I tried definitely needed iterating and calculating sum from i=0 to N to get N-th digit.
How to get N-th hex digit without calculating previous digits?
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Unfortunately (and this REALY was a HUGE let-down for me too when I discovered this), there aren't any currently known algorithms that can completely 'jump' to any digit, and if one was discovered, you can bet it would be popular and make it onto the news. But, I have a solution to your problem, it is an alternative to calculating that allows you to jump to any digit under 12.1 trillion.
Source(s): enter link description here
Anothe thing to check out: Distributed calculation of π