I Am Trying to Find Interest in My Provably Correct Parameter Selection Method

The method is most useful anywhere engineers or researchers need to pick sequence lengths, moduli, or generator parameters such that 2^A≡1 (mod p^t) conditions hold (or don’t). Used for PRNG design, scrambler alignment, transform sizing, or residue-field arithmetic. If you give me pairs of (p, t) I can give M instantly. If you are working on such selection parameters now using Hensel lifting or some other heuristic methods, or have in the past, that is/did take days to calculate, give me the pairs now and I can verify the results for you. Give me a challenge something you know should take days or weeks to calculate and verify. If you do give (p, t), (p, t), ... in this format so I can copy and paste it into my python script to run.