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The research confirms a supercongruence for primes, suggesting implications for future mathematical theories.
Employing Watson's terminating transformation, we present a ‐analog of the following supercongruence: for any prime and positive integer , which was conjectured by Z.‐W. Sun in 2011, thus confirming Sun's conjecture. Further, applying a very‐well‐poised summation and the creative microscoping method introduced by the author and Zudilin, we extend this supercongruence to the modulo case. We also give some similar results for primes . Finally, we propose two conjectures on relevant supercongruences for further study.
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Victor J. W. Guo (2025) studied this question.
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