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This work is the result of over 60 years of Carl L. Lambert's hobby of studying and playing with prime numbers. The Lambert Prime Number Formula has not yet been peer-reviewed, nor has its production of titanic numbers, but the reader is free to create titanic numbers with it and submit all to a review body of his/her choosing. There are substantial prizes being offered in the many thousands of dollars for being the first in several categories. Hopefully this work will help those who decline to limit their titanic prime discoveries to only the Mersenne primes.