To state the obvious... This isn't Nim related, but serious computation 
challenges typically require:

  * Looking for the most efficient search algorithm. This is for math PhDs, 
which I definitely am not.
  * The ideal algorithm would also be easy to 
[map](https://en.wikipedia.org/wiki/MapReduce) to many simultaneous processes. 
For example, Computer A might check [0,3,6..], Computer B [1,4,7..], and 
Computer C [2,5,8..]. There are sophisticated control programs for slicing out 
the jobs, since the number of available computers can change over time.
  * These computations usually involve expensive supercomputers / networks of 
thousands of computers, which is very expensive. Unless you have a major 
research grant, you probably won't be very competitive.
  * With so much hardware and electricity cost involved, math researchers are 
incentivized to spend a lot of time fine-tuning their algorithms and 
implementations. Nim is a great programming language for most tasks, and it has 
[gmp](https://en.wikipedia.org/wiki/GNU_Multiple_Precision_Arithmetic_Library) 
bindings / 
[etc](https://en.wikipedia.org/wiki/List_of_arbitrary-precision_arithmetic_software),
 but it wasn't meant to compete with hand-optimized C or assembly language.


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