The solution must be a lookup table since the 6th taxicab number is already greater than 2^64. If anyone find an algorithm for this, DO NOT publish here, publish a scientific paper. Researchers published a paper just about the upper bounds for the 7th to12th number for instance.
The 6th taxicab number is not even a certainty apparently http://jucs.org/jucs_9_10/what_is_the_value/Calude_C_S.pdf
not a general solution
Considering that the proof of the 6th taxicab number produced over 8GB of data and consisted of an exhaustive search over the integers up to 1e21, a truly generic solution is not really possible.
Remove all the consonants
Matrix with different incremental runs
Next Higher Power of B
Flip the bit
Integer Sequence - II : New Fibonacci
Integer Sequence - 1
Graph Algorithms - 1 : Length of the largest closed path
Fermat's last theorem - again
Let's see how peculiar we can get
Calculate the h-index
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