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In this paper, we mainly prove the following conjecture of Sun[ Congruences involving binomial coefficients and Apery-like numbers , Publ. Math. Debrecen 96 (2020), pp. 315–346]: Let  p &gt;3 be a prime. Thenwhereandstand for the  n th Franel number and  n th Euler number, respectively.

Proof of some congruence conjectures of Z.-H. Sun involving Apéry-like numbers